Spectral Theory, Algebraic Geometry, and Strings

Jun 19, 2023, 9:00 AM → Jun 23, 2023, 4:00 PM Europe/Berlin

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

The deadline was 10 February 2023.

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Mon, June 19

9:00 AM → 9:30 AM Registration & Welcome

9:30 AM → 10:30 AM Resurgence Theory and its Application in Topological String Theory

Speaker: Prof. Jie Gu

slides-Mainz2023.pdf

10:30 AM → 11:00 AM Coffee Break

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

Speaker: Prof. Jie Gu

12:00 PM → 2:30 PM Lunch Break

2:30 PM → 3:00 PM Coffee Break

3:00 PM → 4:00 PM K_2 and Quantum Curves I

Speaker: Dr Soumya Sinha Babu

Tue, June 20

9:30 AM → 10:30 AM Eigenvalue asymptotics for operators associated to mirror curves

Speaker: Dr Lukas Schimmer

talk_Lukas Schimer_MITP.pdf

10:30 AM → 11:00 AM Coffee Break

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

Speaker: Prof. Alessandro Tanzini

12:00 PM → 2:00 PM Lunch Break

2:00 PM → 3:00 PM Generalized 3d TQFT’s from local fields

Speaker: Prof. Rinat Kashaev

3:00 PM → 3:30 PM Coffee Break

Wed, June 21

9:30 AM → 10:30 AM Line defects and skein algebras at roots of unity

Speaker: Prof. Andrew Neitzke

10:30 AM → 11:00 AM Coffee Break

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

Speaker: Dr Qianyu Hao

12:00 PM → 2:00 PM Lunch Break

Thu, June 22

9:30 AM → 10:30 AM Non-perturbative partition functions for supersymmetric QFT's

Speaker: Dr Lotte Holllands

MITP23 2.pdf

10:30 AM → 11:00 AM Coffee Break

11:00 AM → 12:00 PM Asymptotically multiplicative quantum invariants

Speaker: Prof. Stavros Garoufalidis

12:00 PM → 2:30 PM Lunch Break

2:30 PM → 3:00 PM Coffee Break

3:00 PM → 4:00 PM K_2 and Quantum Curves II

Speaker: Dr Soumya Sinha Babu

Fri, June 23

9:30 AM → 10:30 AM Mock modular forms as Z-invariants

Speaker: Dr Ioana Coman

10:30 AM → 11:00 AM Coffee Break

11:00 AM → 12:00 PM Amplitudes and Quantum Volumes

Speaker: Prof. Albrecht Klemm

12:00 PM → 2:00 PM Lunch Break

2:00 PM → 3:00 PM 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

3:00 PM → 3:30 PM Coffee Break