Project acronym BLAST
Project Eclipsing binary stars as cutting edge laboratories for astrophysics of stellar
structure, stellar evolution and planet formation
Researcher (PI) Maciej Konacki
Host Institution (HI) CENTRUM ASTRONOMICZNE IM. MIKOLAJAKOPERNIKA POLSKIEJ AKADEMII NAUK
Call Details Starting Grant (StG), PE9, ERC-2010-StG_20091028
Summary Spectroscopic binary stars (SB2s) and in particular spectroscopic eclipsing binaries are one of the most useful objects in astrophysics. Their photometric and spectroscopic observations allow one to determine basic parameters of stars and carry out a wide range of tests of stellar structure, evolution and dynamics. Perhaps somewhat surprisingly, they can also contribute to our understanding of the formation and evolution of (extrasolar) planets. We will study eclipsing binary stars by combining the classic - stellar astronomy - and the modern - extrasolar planets - subjects into a cutting edge project.
We propose to search for and subsequently characterize circumbinary planets around ~350 eclipsing SB2s using our own novel cutting edge radial velocity technique for binary stars and a modern version of the photometry based eclipse timing of eclipsing binary stars employing 0.5-m robotic telescopes. We will also derive basic parameters of up to ~700 stars (~350 binaries) with an unprecedented precision. In particular for about 50% of our sample we expect to deliver masses of the components with an accuracy ~10-100 times better than the current state of the art.
Our project will provide unique constraints for the theories of planet formation and evolution and an unprecedented in quality set of the basic parameters of stars to test the theories of the stellar structure and evolution.
Summary
Spectroscopic binary stars (SB2s) and in particular spectroscopic eclipsing binaries are one of the most useful objects in astrophysics. Their photometric and spectroscopic observations allow one to determine basic parameters of stars and carry out a wide range of tests of stellar structure, evolution and dynamics. Perhaps somewhat surprisingly, they can also contribute to our understanding of the formation and evolution of (extrasolar) planets. We will study eclipsing binary stars by combining the classic - stellar astronomy - and the modern - extrasolar planets - subjects into a cutting edge project.
We propose to search for and subsequently characterize circumbinary planets around ~350 eclipsing SB2s using our own novel cutting edge radial velocity technique for binary stars and a modern version of the photometry based eclipse timing of eclipsing binary stars employing 0.5-m robotic telescopes. We will also derive basic parameters of up to ~700 stars (~350 binaries) with an unprecedented precision. In particular for about 50% of our sample we expect to deliver masses of the components with an accuracy ~10-100 times better than the current state of the art.
Our project will provide unique constraints for the theories of planet formation and evolution and an unprecedented in quality set of the basic parameters of stars to test the theories of the stellar structure and evolution.
Max ERC Funding
1 500 000 €
Duration
Start date: 2010-12-01, End date: 2016-11-30
Project acronym FIELDS-KNOTS
Project Quantum fields and knot homologies
Researcher (PI) Piotr Sulkowski
Host Institution (HI) UNIWERSYTET WARSZAWSKI
Call Details Starting Grant (StG), PE2, ERC-2013-StG
Summary This project is concerned with fundamental problems arising at the interface of quantum field theory, knot theory, and the theory of random matrices. The main aim of the project is to understand two of the most profound phenomena in physics and mathematics, namely quantization and categorification, and to establish an explicit and rigorous framework where they come into play in an interrelated fashion. The project and its aims focus on the following areas:
- Knot homologies and superpolynomials. The aim of the project in this area is to determine homological knot invariants and to derive an explicit form of colored superpolynomials for a large class of knots and links.
- Super-A-polynomial. The aim of the project in this area is to develop a theory of the super-A-polynomial, to find an explicit form of the super-A-polynomial for a large class of knots, and to understand its properties.
- Three-dimensional supersymmetric N=2 theories. This project aims to find and understand dualities between theories in this class, in particular theories related to knots by 3d-3d duality, and to generalize this duality to the level of homological knot invariants.
- Topological recursion and quantization. The project aims to develop a quantization procedure based on the topological recursion, to demonstrate its consistency with knot-theoretic quantization of A-polynomials, and to generalize this quantization scheme to super-A-polynomials.
All these research areas are connected via remarkable dualities unraveled very recently by physicists and mathematicians. The project is interdisciplinary and aims to reach the above goals by taking advantage of these dualities, and through simultaneous and complementary development in quantum field theory, knot theory, and random matrix theory, in collaboration with renowned experts in each of those fields.
Summary
This project is concerned with fundamental problems arising at the interface of quantum field theory, knot theory, and the theory of random matrices. The main aim of the project is to understand two of the most profound phenomena in physics and mathematics, namely quantization and categorification, and to establish an explicit and rigorous framework where they come into play in an interrelated fashion. The project and its aims focus on the following areas:
- Knot homologies and superpolynomials. The aim of the project in this area is to determine homological knot invariants and to derive an explicit form of colored superpolynomials for a large class of knots and links.
- Super-A-polynomial. The aim of the project in this area is to develop a theory of the super-A-polynomial, to find an explicit form of the super-A-polynomial for a large class of knots, and to understand its properties.
- Three-dimensional supersymmetric N=2 theories. This project aims to find and understand dualities between theories in this class, in particular theories related to knots by 3d-3d duality, and to generalize this duality to the level of homological knot invariants.
- Topological recursion and quantization. The project aims to develop a quantization procedure based on the topological recursion, to demonstrate its consistency with knot-theoretic quantization of A-polynomials, and to generalize this quantization scheme to super-A-polynomials.
All these research areas are connected via remarkable dualities unraveled very recently by physicists and mathematicians. The project is interdisciplinary and aims to reach the above goals by taking advantage of these dualities, and through simultaneous and complementary development in quantum field theory, knot theory, and random matrix theory, in collaboration with renowned experts in each of those fields.
Max ERC Funding
1 345 080 €
Duration
Start date: 2013-12-01, End date: 2018-11-30
