2021 academic year

No. 5

Date: December 17 (Fri) 16:30 - 17:30

Place: Online (Microsoft Teams)

Speaker: Takahiro Shigaki (Kobe University)

Title: Exact WKB analysis of eigenvalue problems for an ordinary differential equation arising from the mathematical model of mesons

No. 4

Date: November 19 (Fri) 16:30 - 17:30

Place: Online (Microsoft Teams)

Speaker: Akishi Ikeda (Josai University)

Title: Riemann-Hilbert problem arising from Donaldson-Thomas theory and resurgence theory

Abstract:

    Inspired by the work of Gaiotto-Moore-Neitzke, Bridgeland introduced the Riemann-Hilbert problem which identifies the wall-crossing phenomena of DT invariants (=Kontsevich-Soibelman transformation) with the Stokes phenomena. In this problem, Stokes phenomena are described not as matrices but as automorphisms of an algebraic torus. Thus, we cannot solve the problem by using general theory of RH problem. On the other hand, in terms of resurgence theory due to Ecalle, the problem can be translated into a problem to construct a simple resurgent function satisfying a certain condition for alien derivatives. In this talk, I mainly explain the RH problem arising from DT theory and relationships between these topics. I also explain how to solve this problem in specific cases by using Ecalle’s mould theory and resurgence monomials, and what makes the problem difficult in general cases.

No. 3

Date: June 25 (Fri) 16:30 - 17:30

Place: Online (Microsoft Teams)

Speaker: Kanam Park (Kwansei Gakuin University)

Title: A 3×3 Lax form and q-Painlev¥’e equations of type E_6^(1)

No. 2

Date: May 14 (Fri) 16:30 - 17:30

Place: Online (Microsoft Teams)

Speaker: Tatsuya Hosoi (University of Tokyo)

Title: Convergence of Painlevé tau function series

No. 1

Date: April 23 (Fri) 16:30 - 18:00

Place: Online (Microsoft Teams)

Speaker: Daichi Komori (Hokkaido University)

Title: The symbol theory of pseudodifferential operators via \v{C}ech-Dolbeault cohomology

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