FIELDS-KNOTS
Quantum fields and knot homologies
| Coordinatore | UNIWERSYTET WARSZAWSKI
Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie. |
| Nazionalità Coordinatore | Poland [PL] |
| Totale costo | 1˙345˙080 € |
| EC contributo | 1˙345˙080 € |
| Programma | FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | ERC-2013-StG |
| Funding Scheme | ERC-SG |
| Anno di inizio | 2013 |
| Periodo (anno-mese-giorno) | 2013-12-01 - 2018-11-30 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
ASSOCIACAO DO INSTITUTO SUPERIOR TECNICO PARA A INVESTIGACAO E DESENVOLVIMENTO
Organization address
address: AVENIDA ROVISCO PAIS 1 contact info |
PT (LISBOA) | beneficiary | 96˙000.00 |
| 2 |
INSTITUTE FOR ADVANCED STUDY - LOUIS BAMBERGER AND MRS FELIX FULD FOUNDATION CORPORATION
Organization address
address: EINSTEIN DRIVE contact info |
US (PRICETON) | beneficiary | 72˙600.00 |
| 3 |
UNIWERSYTET WARSZAWSKI
Organization address
address: Krakowskie Przedmiescie 26/28 contact info |
PL (WARSAW) | hostInstitution | 1˙176˙480.00 |
| 4 |
UNIWERSYTET WARSZAWSKI
Organization address
address: Krakowskie Przedmiescie 26/28 contact info |
PL (WARSAW) | hostInstitution | 1˙176˙480.00 |
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Obiettivo del progetto (Objective)
'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.'