New connections in number theory and physics
| Created: | 2021-05-25 14:12 |
|---|---|
| Institution: | Isaac Newton Institute for Mathematical Sciences |
| Description: | Workshop
24th May 2021 to 28th May 2021 Workshop theme During the 20th century, interactions between geometers and theoretical physicists were revolutionary in both areas, leading to such unexpected developments as mirror symmetry and the impact of topological field theory on invariants of 4-manifolds. Another momentum is now developing around new connections between number theory and physics, mainly but not exclusively through the theory of automorphic forms. We have reached a time when contacts between number theorists and physicists have the potential to generate another surge of developments. The purpose of this interdisciplinary programme is to investigate connections between various fields of theoretical physics, in particular string theory and statistical models of crystals, and the theory of automorphic forms, mock modular forms and beyond. The non-perturbative structure of string theory has led to new uses of automorphic forms that have already appeared in number theory, as well as new exotic automorphic objects that have not yet been encountered. This is an emergent research area with a lot of potential for cross-disciplinary collaborations with great benefit to both areas. Recent work has revealed, on the one hand, a profound significance of automorphic forms and automorphic representations for string scattering amplitudes and, on the other hand, an unexpected appearance of mock theta functions in answering key questions pertaining to quantum properties of black holes. In addition, solvable lattice models have recently appeared in connection with Eisenstein series on metaplectic groups, calling for some underlying structure that remains to be understood. Speakers Kathrin Bringmann Miranda Cheng Eric D’Hoker Amanda Folsom Jens Funke Jeff Harvey Greg Moore Steve Miller Sameer Murthy Boris Pioline Yiannis Sakellaridis Nils Scheithauer Anne Taormina Akshay Venkatesh Edward Witten Don Zagier Please find the timetable for the event here: Timetable Given the current restrictions on movement, due to the ongoing pandemic, the INI intends to run this workshop virtually across 5 days. All talks and discussion sessions will be available virtually. |
Media items
This collection contains 14 media items.
Media items
5-Dimensional Black Holes, 4-Dimensional Super Yang-Mills, and 3-Dimensional Chern-Simons Theory
Murthy, S
Wednesday 26th May 2021 - 16:45 to 17:45
Collection: New connections in number theory and physics
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 27 May 2021
D^4 R^4 and D^6 R^4: A 2021 perspective on these automorphic functions
Miller, S
Monday 24th May 2021 - 14:30 to 15:30
Collection: New connections in number theory and physics
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 25 May 2021
Exact BPS Couplings and Black Hole Counting
Pioline, B
Tuesday 25th May 2021 - 14:30 to 15:30
Collection: New connections in number theory and physics
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 26 May 2021
Hamiltonian spaces and L-functions
Sakellaridis, Y
Friday 28th May 2021 - 16:45 to 17:45
Collection: New connections in number theory and physics
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 1 Jun 2021
Holomorphic vertex operator algebras of central charge 24
Scheithauer, N
Thursday 27th May 2021 - 16:45 to 17:45
Collection: New connections in number theory and physics
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 28 May 2021
Mathieu Moonshine: Quarter BPS States at the Kummer Point and Nearby
Taormina, A
Thursday 27th May 2021 - 15:30 to 16:30
Collection: New connections in number theory and physics
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 28 May 2021
Modular Graph Functions, Forms, and Tensors
D'Hoker, E
Tuesday 25th May 2021 - 15:30 to 16:30
Collection: New connections in number theory and physics
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 26 May 2021
Modular, Mock Modular and Quantum Modular
Zagier, D
Friday 28th May 2021 - 15:30 to 16:30
Collection: New connections in number theory and physics
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 1 Jun 2021
N=2* Supersymmetric Yang-Mills Theory, Four-Manifold Invariants, And Mock Modular Forms
Moore, G
Wednesday 26th May 2021 - 15:30 to 16:30
Collection: New connections in number theory and physics
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 27 May 2021
On certain three-manifold invariants
Cheng, M
Friday 28th May 2021 - 14:30 to 15:30
Collection: New connections in number theory and physics
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 1 Jun 2021
Quantization by Branes and Geometric Langlands
Witten, E
Tuesday 25th May 2021 - 16:45 to 17:45
Collection: New connections in number theory and physics
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 26 May 2021
Superconformal Symmetry and Quantum Error Correction
Harvey, J
Wednesday 26th May 2021 - 14:30 to 15:30
Collection: New connections in number theory and physics
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 27 May 2021
Theta Series and (Singular) Theta Lifts
Funke, J
Monday 24th May 2021 - 16:45 to 17:45
Collection: New connections in number theory and physics
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 25 May 2021
Uniform Asymptotics Near Standard And Nonstandard Caustics For Linear Dispersive Water Waves Generated By Localized...
Sergey Dobrokhotov Institute for Problems in Mechanics of Russian Academy of Sciences
30 June 2021 – 14:30 to 15:00
Collection: New connections in number theory and physics
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 1 Jul 2021