Project acronym 3DWATERWAVES
Project Mathematical aspects of three-dimensional water waves with vorticity
Researcher (PI) Erik Torsten Wahlén
Host Institution (HI) LUNDS UNIVERSITET
Call Details Starting Grant (StG), PE1, ERC-2015-STG
Summary The goal of this project is to develop a mathematical theory for steady three-dimensional water waves with vorticity. The mathematical model consists of the incompressible Euler equations with a free surface, and vorticity is important for modelling the interaction of surface waves with non-uniform currents. In the two-dimensional case, there has been a lot of progress on water waves with vorticity in the last decade. This progress has mainly been based on the stream function formulation, in which the problem is reformulated as a nonlinear elliptic free boundary problem. An analogue of this formulation is not available in three dimensions, and the theory has therefore so far been restricted to irrotational flow. In this project we seek to go beyond this restriction using two different approaches. In the first approach we will adapt methods which have been used to construct three-dimensional ideal flows with vorticity in domains with a fixed boundary to the free boundary context (for example Beltrami flows). In the second approach we will develop methods which are new even in the case of a fixed boundary, by performing a detailed study of the structure of the equations close to a given shear flow using ideas from infinite-dimensional bifurcation theory. This involves handling infinitely many resonances.
Summary
The goal of this project is to develop a mathematical theory for steady three-dimensional water waves with vorticity. The mathematical model consists of the incompressible Euler equations with a free surface, and vorticity is important for modelling the interaction of surface waves with non-uniform currents. In the two-dimensional case, there has been a lot of progress on water waves with vorticity in the last decade. This progress has mainly been based on the stream function formulation, in which the problem is reformulated as a nonlinear elliptic free boundary problem. An analogue of this formulation is not available in three dimensions, and the theory has therefore so far been restricted to irrotational flow. In this project we seek to go beyond this restriction using two different approaches. In the first approach we will adapt methods which have been used to construct three-dimensional ideal flows with vorticity in domains with a fixed boundary to the free boundary context (for example Beltrami flows). In the second approach we will develop methods which are new even in the case of a fixed boundary, by performing a detailed study of the structure of the equations close to a given shear flow using ideas from infinite-dimensional bifurcation theory. This involves handling infinitely many resonances.
Max ERC Funding
1 203 627 €
Duration
Start date: 2016-03-01, End date: 2021-02-28
Project acronym AfricanNeo
Project The African Neolithic: A genetic perspective
Researcher (PI) Carina SCHLEBUSCH
Host Institution (HI) UPPSALA UNIVERSITET
Call Details Starting Grant (StG), SH6, ERC-2017-STG
Summary The spread of farming practices in various parts of the world had a marked influence on how humans live today and how we are distributed around the globe. Around 10,000 years ago, warmer conditions lead to population increases, coinciding with the invention of farming in several places around the world. Archaeological evidence attest to the spread of these practices to neighboring regions. In many cases this lead to whole continents being converted from hunter-gatherer to farming societies. It is however difficult to see from archaeological records if only the farming culture spread to other places or whether the farming people themselves migrated. Investigating patterns of genetic variation for farming populations and for remaining hunter-gatherer groups can help to resolve questions on population movements co-occurring with the spread of farming practices. It can further shed light on the routes of migration and dates when migrants arrived.
The spread of farming to Europe has been thoroughly investigated in the fields of archaeology, linguistics and genetics, while on other continents these events have been less investigated. In Africa, mainly linguistic and archaeological studies have attempted to elucidate the spread of farming and herding practices. I propose to investigate the movement of farmer and pastoral groups in Africa, by typing densely spaced genome-wide variant positions in a large number of African populations. The data will be used to infer how farming and pastoralism was introduced to various regions, where the incoming people originated from and when these (potential) population movements occurred. Through this study, the Holocene history of Africa will be revealed and placed into a global context of migration, mobility and cultural transitions. Additionally the study will give due credence to one of the largest Neolithic expansion events, the Bantu-expansion, which caused a pronounced change in the demographic landscape of the African continent
Summary
The spread of farming practices in various parts of the world had a marked influence on how humans live today and how we are distributed around the globe. Around 10,000 years ago, warmer conditions lead to population increases, coinciding with the invention of farming in several places around the world. Archaeological evidence attest to the spread of these practices to neighboring regions. In many cases this lead to whole continents being converted from hunter-gatherer to farming societies. It is however difficult to see from archaeological records if only the farming culture spread to other places or whether the farming people themselves migrated. Investigating patterns of genetic variation for farming populations and for remaining hunter-gatherer groups can help to resolve questions on population movements co-occurring with the spread of farming practices. It can further shed light on the routes of migration and dates when migrants arrived.
The spread of farming to Europe has been thoroughly investigated in the fields of archaeology, linguistics and genetics, while on other continents these events have been less investigated. In Africa, mainly linguistic and archaeological studies have attempted to elucidate the spread of farming and herding practices. I propose to investigate the movement of farmer and pastoral groups in Africa, by typing densely spaced genome-wide variant positions in a large number of African populations. The data will be used to infer how farming and pastoralism was introduced to various regions, where the incoming people originated from and when these (potential) population movements occurred. Through this study, the Holocene history of Africa will be revealed and placed into a global context of migration, mobility and cultural transitions. Additionally the study will give due credence to one of the largest Neolithic expansion events, the Bantu-expansion, which caused a pronounced change in the demographic landscape of the African continent
Max ERC Funding
1 500 000 €
Duration
Start date: 2017-11-01, End date: 2022-10-31
Project acronym BOPNIE
Project Boundary value problems for nonlinear integrable equations
Researcher (PI) Jonatan Carl Anders Lenells
Host Institution (HI) KUNGLIGA TEKNISKA HOEGSKOLAN
Call Details Consolidator Grant (CoG), PE1, ERC-2015-CoG
Summary The purpose of this project is to develop new methods for solving boundary value problems (BVPs) for nonlinear integrable partial differential equations (PDEs). Integrable PDEs can be analyzed by means of the Inverse Scattering Transform, whose introduction was one of the most important developments in the theory of nonlinear PDEs in the 20th century. Until the 1990s the inverse scattering methodology was pursued almost entirely for pure initial-value problems. However, in many laboratory and field situations, the solution is generated by what corresponds to the imposition of boundary conditions rather than initial conditions. Thus, an understanding of BVPs is crucial.
In an exciting sequence of events taking place in the last two decades, new tools have become available to deal with BVPs for integrable PDEs. Although some important issues have already been resolved, several major problems remain open.
The aim of this project is to solve a number of these open problems and to find solutions of BVPs which were heretofore not solvable. More precisely, the proposal has eight objectives:
1. Develop methods for solving problems with time-periodic boundary conditions.
2. Answer some long-standing open questions raised by series of wave-tank experiments 35 years ago.
3. Develop a new approach for the study of space-periodic solutions.
4. Develop new approaches for the analysis of BVPs for equations with 3 x 3-matrix Lax pairs.
5. Derive new asymptotic formulas by using a nonlinear version of the steepest descent method.
6. Construct disk and disk/black-hole solutions of the stationary axisymmetric Einstein equations.
7. Solve a BVP in Einstein's theory of relativity describing two colliding gravitational waves.
8. Extend the above methods to BVPs in higher dimensions.
Summary
The purpose of this project is to develop new methods for solving boundary value problems (BVPs) for nonlinear integrable partial differential equations (PDEs). Integrable PDEs can be analyzed by means of the Inverse Scattering Transform, whose introduction was one of the most important developments in the theory of nonlinear PDEs in the 20th century. Until the 1990s the inverse scattering methodology was pursued almost entirely for pure initial-value problems. However, in many laboratory and field situations, the solution is generated by what corresponds to the imposition of boundary conditions rather than initial conditions. Thus, an understanding of BVPs is crucial.
In an exciting sequence of events taking place in the last two decades, new tools have become available to deal with BVPs for integrable PDEs. Although some important issues have already been resolved, several major problems remain open.
The aim of this project is to solve a number of these open problems and to find solutions of BVPs which were heretofore not solvable. More precisely, the proposal has eight objectives:
1. Develop methods for solving problems with time-periodic boundary conditions.
2. Answer some long-standing open questions raised by series of wave-tank experiments 35 years ago.
3. Develop a new approach for the study of space-periodic solutions.
4. Develop new approaches for the analysis of BVPs for equations with 3 x 3-matrix Lax pairs.
5. Derive new asymptotic formulas by using a nonlinear version of the steepest descent method.
6. Construct disk and disk/black-hole solutions of the stationary axisymmetric Einstein equations.
7. Solve a BVP in Einstein's theory of relativity describing two colliding gravitational waves.
8. Extend the above methods to BVPs in higher dimensions.
Max ERC Funding
2 000 000 €
Duration
Start date: 2016-05-01, End date: 2021-04-30
Project acronym GLOBEGOV
Project The Rise of Global Environmental Governance:A History of the Contemporary Human-Earth Relationship
Researcher (PI) Sverker SÖRLIN
Host Institution (HI) KUNGLIGA TEKNISKA HOEGSKOLAN
Call Details Advanced Grant (AdG), SH6, ERC-2017-ADG
Summary GLOBEGOVE is a historical study of humanity’s relation to planetary conditions and constraints and how it has become understood as a governance issue. The key argument is that Global Environmental Governance (GEG), which has arisen in response to this issue, is inseparable from the rise of a planetary Earth systems science and a knowledge-informed understanding of global change that has affected broad communities of practice. The overarching objective is to provide a fundamentally new perspective on GEG that challenges both previous linear, progressivist narratives through incremental institutional work and the way contemporary history is written and understood.
GLOBEGOVE will be implemented as an expressly global history along four Trajectories, which will ensure both transnational as well as transdisciplinary analysis of GEG as a major contemporary phenomenon.
Trajectory I: Formation articulates a proto-history of GEG after 1945 when the concept of ‘the environment’ in its new integrative meaning was established and a slow formation of policy ideas and institutions could start.
Trajectory II: The complicated turning of environmental research into governance investigates the relation between environmental science and environmental governance which GLOBEGOV examines as an open ended historical process. Why was it that high politics and diplomacy came in closer relations with environmental sciences?
Trajectory III: Alternative agencies – governance through business and civic society explores corporate responses, including self-regulation through the concept of Corporate Social Responsibility, to growing concerns about environmental degradation and pollution, and business-science relations.
Trajectory IV: Integrating Earth into History – scaling, mediating, remembering will turn to historiography itself and examine how concepts and ideas from the rising Earth system sciences have been influencing both GEG and the way we think historically about Earth and humanity.
Summary
GLOBEGOVE is a historical study of humanity’s relation to planetary conditions and constraints and how it has become understood as a governance issue. The key argument is that Global Environmental Governance (GEG), which has arisen in response to this issue, is inseparable from the rise of a planetary Earth systems science and a knowledge-informed understanding of global change that has affected broad communities of practice. The overarching objective is to provide a fundamentally new perspective on GEG that challenges both previous linear, progressivist narratives through incremental institutional work and the way contemporary history is written and understood.
GLOBEGOVE will be implemented as an expressly global history along four Trajectories, which will ensure both transnational as well as transdisciplinary analysis of GEG as a major contemporary phenomenon.
Trajectory I: Formation articulates a proto-history of GEG after 1945 when the concept of ‘the environment’ in its new integrative meaning was established and a slow formation of policy ideas and institutions could start.
Trajectory II: The complicated turning of environmental research into governance investigates the relation between environmental science and environmental governance which GLOBEGOV examines as an open ended historical process. Why was it that high politics and diplomacy came in closer relations with environmental sciences?
Trajectory III: Alternative agencies – governance through business and civic society explores corporate responses, including self-regulation through the concept of Corporate Social Responsibility, to growing concerns about environmental degradation and pollution, and business-science relations.
Trajectory IV: Integrating Earth into History – scaling, mediating, remembering will turn to historiography itself and examine how concepts and ideas from the rising Earth system sciences have been influencing both GEG and the way we think historically about Earth and humanity.
Max ERC Funding
2 500 000 €
Duration
Start date: 2018-10-01, End date: 2023-09-30
Project acronym GRETPOL
Project Greening the Poles: Science, the Environment, and the Creation of the Modern Arctic and Antarctic
Researcher (PI) Peder ROBERTS
Host Institution (HI) KUNGLIGA TEKNISKA HOEGSKOLAN
Call Details Starting Grant (StG), SH6, ERC-2016-STG
Summary This project investigates how and why environmental concerns have become so important to our conceptions of the polar regions today. Through a historical study of both the Arctic and Antarctic from 1945 to the turn of the past century, the project explores the connections between how environments are described - particularly through the natural sciences and economics - and the judgments made about how those environments should be administered. The key hypothesis of this project is that the process of describing an environment cannot be separated from the process of controlling and managing it. Changing perceptions of concepts such as development, ecological fragility, and wilderness have provided frames for describing and understanding the polar regions. Why has natural resource extraction been deemed appropriate (or even necessary) in some contexts, and wholly forbidden in others? Why did the concept of sustainable development become important during the 1980s? Can we think of scientific research programs as instruments of colonialism? And why did national parks and conservation agreements become politically useful? GRETPOL will produce a new understanding of how far from being the passive frames for human action, environments (in the polar regions but indeed also beyond) are constructed by human agency. As anthropogenic climate change reduces polar ice extent and threatens the entire globe, the question has never been timelier.
Summary
This project investigates how and why environmental concerns have become so important to our conceptions of the polar regions today. Through a historical study of both the Arctic and Antarctic from 1945 to the turn of the past century, the project explores the connections between how environments are described - particularly through the natural sciences and economics - and the judgments made about how those environments should be administered. The key hypothesis of this project is that the process of describing an environment cannot be separated from the process of controlling and managing it. Changing perceptions of concepts such as development, ecological fragility, and wilderness have provided frames for describing and understanding the polar regions. Why has natural resource extraction been deemed appropriate (or even necessary) in some contexts, and wholly forbidden in others? Why did the concept of sustainable development become important during the 1980s? Can we think of scientific research programs as instruments of colonialism? And why did national parks and conservation agreements become politically useful? GRETPOL will produce a new understanding of how far from being the passive frames for human action, environments (in the polar regions but indeed also beyond) are constructed by human agency. As anthropogenic climate change reduces polar ice extent and threatens the entire globe, the question has never been timelier.
Max ERC Funding
1 499 952 €
Duration
Start date: 2017-02-01, End date: 2022-01-31
Project acronym MODULISPACES
Project Topology of moduli spaces of Riemann surfaces
Researcher (PI) Dan PETERSEN
Host Institution (HI) STOCKHOLMS UNIVERSITET
Call Details Starting Grant (StG), PE1, ERC-2017-STG
Summary The proposal describes two main projects. Both of them concern cohomology of moduli spaces of Riemann surfaces, but the aims are rather different.
The first is a natural continuation of my work on tautological rings, which I intend to work on with Qizheng Yin and Mehdi Tavakol. In this project, we will introduce a new perspective on tautological rings, which is that the tautological cohomology of moduli spaces of pointed Riemann surfaces can be described in terms of tautological cohomology of the moduli space M_g, but with twisted coefficients. In the cases we have been able to compute so far, the tautological cohomology with twisted coefficients is always much simpler to understand, even though it “contains the same information”. In particular we hope to be able to find a systematic way of analyzing the consequences of the recent conjecture that Pixton’s relations are all relations between tautological classes; until now, most concrete consequences of Pixton’s conjecture have been found via extensive computer calculations, which are feasible only when the genus and number of markings is small.
The second project has a somewhat different flavor, involving operads and periods of moduli spaces, and builds upon recent work of myself with Johan Alm, who I will continue to collaborate with. This work is strongly informed by Brown’s breakthrough results relating mixed motives over Spec(Z) and multiple zeta values to the periods of moduli spaces of genus zero Riemann surfaces. In brief, Brown introduced a partial compactification of the moduli space M_{0,n} of n-pointed genus zero Riemann surfaces; we have shown that the spaces M_{0,n} and these partial compactifications are connected by a form of dihedral Koszul duality. It seems likely that this Koszul duality should have further ramifications in the study of multiple zeta values and periods of these spaces; optimistically, this could lead to new irrationality results for multiple zeta values.
Summary
The proposal describes two main projects. Both of them concern cohomology of moduli spaces of Riemann surfaces, but the aims are rather different.
The first is a natural continuation of my work on tautological rings, which I intend to work on with Qizheng Yin and Mehdi Tavakol. In this project, we will introduce a new perspective on tautological rings, which is that the tautological cohomology of moduli spaces of pointed Riemann surfaces can be described in terms of tautological cohomology of the moduli space M_g, but with twisted coefficients. In the cases we have been able to compute so far, the tautological cohomology with twisted coefficients is always much simpler to understand, even though it “contains the same information”. In particular we hope to be able to find a systematic way of analyzing the consequences of the recent conjecture that Pixton’s relations are all relations between tautological classes; until now, most concrete consequences of Pixton’s conjecture have been found via extensive computer calculations, which are feasible only when the genus and number of markings is small.
The second project has a somewhat different flavor, involving operads and periods of moduli spaces, and builds upon recent work of myself with Johan Alm, who I will continue to collaborate with. This work is strongly informed by Brown’s breakthrough results relating mixed motives over Spec(Z) and multiple zeta values to the periods of moduli spaces of genus zero Riemann surfaces. In brief, Brown introduced a partial compactification of the moduli space M_{0,n} of n-pointed genus zero Riemann surfaces; we have shown that the spaces M_{0,n} and these partial compactifications are connected by a form of dihedral Koszul duality. It seems likely that this Koszul duality should have further ramifications in the study of multiple zeta values and periods of these spaces; optimistically, this could lead to new irrationality results for multiple zeta values.
Max ERC Funding
1 091 249 €
Duration
Start date: 2018-01-01, End date: 2022-12-31
Project acronym NUCLEARWATERS
Project Putting Water at the Centre of Nuclear Energy History
Researcher (PI) Per HÖGSELIUS
Host Institution (HI) KUNGLIGA TEKNISKA HOEGSKOLAN
Call Details Consolidator Grant (CoG), SH6, ERC-2017-COG
Summary NUCLEARWATERS develops a groundbreaking new approach to studying the history of nuclear energy. Rather than interpreting nuclear energy history as a history of nuclear physics and radiochemistry, it analyses it as a history of water. The project develops the argument that nuclear energy is in essence a hydraulic form of technology, and that it as such builds on centuries and even millennia of earlier hydraulic engineering efforts worldwide – and, culturally speaking, on earlier “hydraulic civilizations”, from ancient Egypt to the modern Netherlands. I investigate how historical water-manipulating technologies and wet and dry risk conceptions from a deeper past were carried on into the nuclear age. These risk conceptions brought with them a complex set of social and professional practices that displayed considerable inertia and were difficult to change – sometimes paving the way for disaster. Against this background I hypothesize that a water-centred nuclear energy history enables us to resolve a number of the key riddles in nuclear energy history and to grasp the deeper historical logic behind various nuclear disasters and accidents worldwide. The project is structured along six work packages that problematize the centrality – and dilemma – of water in nuclear energy history from different thematic and geographical angles. These include in-depth studies of the transnational nuclear-hydraulic engineering community, of the Soviet Union’s nuclear waters, of the Rhine Valley as a transnational and heavily nuclearized river basin, of Japan’s atomic coastscapes and of the ecologically and politically fragile Baltic Sea region. The ultimate ambition is to significantly revise nuclear energy history as we know it – with implications not only for the history of technology as an academic field (and its relationship with environmental history), but also for the public debate about nuclear energy’s future in Europe and beyond.
Summary
NUCLEARWATERS develops a groundbreaking new approach to studying the history of nuclear energy. Rather than interpreting nuclear energy history as a history of nuclear physics and radiochemistry, it analyses it as a history of water. The project develops the argument that nuclear energy is in essence a hydraulic form of technology, and that it as such builds on centuries and even millennia of earlier hydraulic engineering efforts worldwide – and, culturally speaking, on earlier “hydraulic civilizations”, from ancient Egypt to the modern Netherlands. I investigate how historical water-manipulating technologies and wet and dry risk conceptions from a deeper past were carried on into the nuclear age. These risk conceptions brought with them a complex set of social and professional practices that displayed considerable inertia and were difficult to change – sometimes paving the way for disaster. Against this background I hypothesize that a water-centred nuclear energy history enables us to resolve a number of the key riddles in nuclear energy history and to grasp the deeper historical logic behind various nuclear disasters and accidents worldwide. The project is structured along six work packages that problematize the centrality – and dilemma – of water in nuclear energy history from different thematic and geographical angles. These include in-depth studies of the transnational nuclear-hydraulic engineering community, of the Soviet Union’s nuclear waters, of the Rhine Valley as a transnational and heavily nuclearized river basin, of Japan’s atomic coastscapes and of the ecologically and politically fragile Baltic Sea region. The ultimate ambition is to significantly revise nuclear energy history as we know it – with implications not only for the history of technology as an academic field (and its relationship with environmental history), but also for the public debate about nuclear energy’s future in Europe and beyond.
Max ERC Funding
1 991 008 €
Duration
Start date: 2018-05-01, End date: 2023-04-30
Project acronym PASSIM
Project Patents as Scientific Information, 1895-2020
Researcher (PI) Eva Susan Margareta HEMMUNGS WIRTÉN
Host Institution (HI) LINKOPINGS UNIVERSITET
Call Details Advanced Grant (AdG), SH6, ERC-2016-ADG
Summary “History will remember Barack Obama as the great Slayer of Patent Trolls.” The headline from the 2014 March 20 issue of Wired credits POTUS with, perhaps, an unexpected feat. Referring to companies in the sole business of enforcing patents beyond their actual value, trolls are a recent installment in the history of an intellectual property whose ubiquitousness the Latin word PASSIM (“here and there, everywhere”) neatly captures. In the eye of the storm stands the patent bargain: disclosure of information in return for a limited monopoly. This contractual moment makes patents a source of information, the basis of new innovation. Or does it? By posing this simple question, PASSIM’s bold take on the legitimacy of intellectual property in the governance of informational resources follow patents as legal and informational documents during three historical “patent phases,” producing a visionary and theoretically savvy interpretation of intellectual property that stems from its humanities-based and interdisciplinary project design. PASSIM shows a way out of current analytical gridlocks that earmark the understanding of the role of intellectual property in knowledge infrastructures—most notably the enclosure/openness dichotomy—and provides a fresh take on the complexity of informational processes. A key steppingstone in the PI’s career, her own contribution to PASSIM will be a work of synthesis, highlighting major tendencies in the history of patents as scientific information from 1895 to the present. Four complementary empirical studies target specific themes that strengthen PASSIM’s validity and impact: questions of copyrights in patents, scientists’ patenting strategies both historically and today, the relationship between bibliometrics and patentometrics, and the status of the patent as a legal and informational document. Outputs include workshops, articles, monographs, policy papers and documentation of the project’s experiences with interdisciplinary self-reflexivity.
Summary
“History will remember Barack Obama as the great Slayer of Patent Trolls.” The headline from the 2014 March 20 issue of Wired credits POTUS with, perhaps, an unexpected feat. Referring to companies in the sole business of enforcing patents beyond their actual value, trolls are a recent installment in the history of an intellectual property whose ubiquitousness the Latin word PASSIM (“here and there, everywhere”) neatly captures. In the eye of the storm stands the patent bargain: disclosure of information in return for a limited monopoly. This contractual moment makes patents a source of information, the basis of new innovation. Or does it? By posing this simple question, PASSIM’s bold take on the legitimacy of intellectual property in the governance of informational resources follow patents as legal and informational documents during three historical “patent phases,” producing a visionary and theoretically savvy interpretation of intellectual property that stems from its humanities-based and interdisciplinary project design. PASSIM shows a way out of current analytical gridlocks that earmark the understanding of the role of intellectual property in knowledge infrastructures—most notably the enclosure/openness dichotomy—and provides a fresh take on the complexity of informational processes. A key steppingstone in the PI’s career, her own contribution to PASSIM will be a work of synthesis, highlighting major tendencies in the history of patents as scientific information from 1895 to the present. Four complementary empirical studies target specific themes that strengthen PASSIM’s validity and impact: questions of copyrights in patents, scientists’ patenting strategies both historically and today, the relationship between bibliometrics and patentometrics, and the status of the patent as a legal and informational document. Outputs include workshops, articles, monographs, policy papers and documentation of the project’s experiences with interdisciplinary self-reflexivity.
Max ERC Funding
2 261 523 €
Duration
Start date: 2017-10-01, End date: 2022-09-30