Mathematical physics seminar
Date: Tuesdays 11:15-12:45 Uhr
Venue: 1.023 (BMS Room, Haus 1, ground floor), Rudower Chaussee 25, Adlershof, 12489 Berlin
Organiser: Gaëtan Borot
Wintersemester 2025-26
21. Oktober 2025
Matijn Francois (University of Geneva)
On the open topological strings/spectral theory correspondence
The topological string/spectral theory correspondence establishes a precise, non-perturbative duality between topological strings on local Calabi–Yau threefolds and the spectral theory of quantized mirror curves. This duality has been rigorously formulated for the closed string sector, but the open string sector is less understood. In this talk, I will explain how one can use open-string partition functions to construct true eigenfunctions for the quantized mirror curve of local F₀. We will then discuss the four-dimensional limit, underlining the implications of the topological string/spectral theory correspondence for spectral problems relating four-dimensional supersymmetric gauge theories to the quantization of their Seiberg–Witten curves.
28. Oktober 2025
Lasse Merkens (HU)
Renormalization group flows from defects in N = 1 minimal models
Leveraging the structure of non-invertible symmetries, we construct a family of
renormalization group flows connecting N = 1 superconformal minimal models:
SM(p, kp + I) → SM(p, kp − I). The triggering operator is G−1/2ϕ(1,2k+1). A key ele-
ment of our argument is that the topological defect lines of the bosonic coset theory
persist in the fermionic case. These flows represent a supersymmetric generalization
of the Virasoro flows discovered by Tanaka and Nakayama and include the previ-
ously known unitary flows (Pogossyan, k = 1, I = 2) as a special case. Furthermore,
we demonstrate the completeness of this family; any flow between models SM(p, q)
and SM(p, q′) can be obtained by composing these fundamental flows.
4. November 2025
Xavier Blot (Unversiteit van Amsterdam)
11. November 2025
Taro Kimura (Université Bourgogne Europe)
Non-perturbative Schwinger-Dyson equation for DT/PT vertices
Non-perturbative Schwinger-Dyson (SD) equation is a discrete analog of the loop equation appearing in matrix models and related models. It was initially discussed for the gauge theory partition function and, as in the case of the matrix models, it has a close relation to the underlying infinite-dimensional symmetry of the system. In this talk, I'd like to discuss the non-perturbative SD equation for the higher-dimensional gauge theory partition function, interpreted as the generating function of the DT and PT invariants (DT/PT vertices) for CY3 and CY4 varieties, and address its underlying quantum algebraic structure, which is a consequence of geometric representation theory of the corresponding algebra.
18. November 2025
Piotr Sulkowski (Warsaw University)
25. November 2025
2. Dezember 2025
Nikolay Barashkov (MiS Leipzig)
9. Dezember 2025
16. Dezember 2025
6. Januar 2026
13. Januar 2026
Kein Seminar
20. Januar 2026
27. Januar 2026
Maciej Dolega (Institute of Mathematics, Polish Academy of Sciences)
3. Februar 2026
10. Februar 2026