Spectral Theory, Algebraic Geometry, and Strings

19 Jun 2023, 09:00 → 23 Jun 2023, 16:00 Europe/Berlin

02.430 (Mainz Institute for Theoretical Physics, Johannes Gutenberg University)

The deadline was 10 February 2023.

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Monday 19 June

09:00 → 09:30 Registration & Welcome

09:30 → 10:30 Resurgence Theory and its Application in Topological String Theory

Speaker: Prof. Jie Gu

slides-Mainz2023.pdf

10:30 → 11:00 Coffee Break

11:00 → 12:00 Resurgence Theory and its Application in Topological String Theory

Speaker: Prof. Jie Gu

12:00 → 14:30 Lunch Break

14:30 → 15:00 Coffee Break

15:00 → 16:00 K_2 and Quantum Curves I

Speaker: Dr Soumya Sinha Babu

Tuesday 20 June

09:30 → 10:30 Eigenvalue asymptotics for operators associated to mirror curves

Speaker: Dr Lukas Schimmer

talk_Lukas Schimer_MITP.pdf

10:30 → 11:00 Coffee Break

11:00 → 12:00 Refined Painleve’/gauge theory correspondence

Speaker: Prof. Alessandro Tanzini

12:00 → 14:00 Lunch Break

14:00 → 15:00 Generalized 3d TQFT’s from local fields

Speaker: Prof. Rinat Kashaev

15:00 → 15:30 Coffee Break

Wednesday 21 June

09:30 → 10:30 Line defects and skein algebras at roots of unity

Speaker: Prof. Andrew Neitzke

10:30 → 11:00 Coffee Break

11:00 → 12:00 TS/ST correspondence via non-autonomous Toda equations

Speaker: Dr Qianyu Hao

12:00 → 14:00 Lunch Break

Thursday 22 June

09:30 → 10:30 Non-perturbative partition functions for supersymmetric QFT's

Speaker: Dr Lotte Holllands

MITP23 2.pdf

10:30 → 11:00 Coffee Break

11:00 → 12:00 Asymptotically multiplicative quantum invariants

Speaker: Prof. Stavros Garoufalidis

12:00 → 14:30 Lunch Break

14:30 → 15:00 Coffee Break

15:00 → 16:00 K_2 and Quantum Curves II

Speaker: Dr Soumya Sinha Babu

Friday 23 June

09:30 → 10:30 Mock modular forms as Z-invariants

Speaker: Dr Ioana Coman

10:30 → 11:00 Coffee Break

11:00 → 12:00 Amplitudes and Quantum Volumes

Speaker: Prof. Albrecht Klemm

12:00 → 14:00 Lunch Break

14:00 → 15:00 3d indices and Chern-Simons thimbles

3d N=2 indices, with potential extra insertions of line defects, contain important information on the protected operators in the theory. In this talk, I will describe methods to study such objects from perspectives of 2d (2,2) Landau-Ginzburg models, via a circle reduction of the 3d theory. In particular, in this context I will give an interpretation of recent results by Garoufalidis-Gu-Marino on the relation between 3d indices and entries of Stokes matrices appearing in complex Chern-Simons theories on knot complements. This interpretation is mediated by a conjecture regarding counting solutions to the Kapustin-Witten equations. This talk is based on joint work in progress with Davide Gaiotto, Ahsan Khan, and Greg Moore.

Speaker: Dr Fei Yan

15:00 → 15:30 Coffee Break