BIMSA-YMSC Geometry and Dynamics Seminar


Description

Seminar covering a broad range of topics in geometry and/or dynamics.

Date and Time: Wednesdays at 1:30-2:30pm (Beijing time)

Zoom Meeting ID: 928 682 9093 (Passcode: BIMSA), or enter directly via this link

Joining the mailing list: Please send an email to geodyn.seminar [at] gmail.com


Upcoming Talk

April 17 at 1:30pm (Beijing time)

Takumi Otani (Tsinghua University)

Title: The number of full exceptional collections for orbifold projective lines

Abstract: The derived category of an orbifold projective line with positive Euler characteristic is equivalent to the one of an extended Dynkin quiver. For a Dynkin quiver, Obaid—Nauman—Shammakh—Fakieh—Ringel gave a counting formula for the number of full exceptional collections in the derived category. The number coincides with the degree of the Lyashko—Looijenga map for an ADE singularity. The equality of these numbers hints a consistency in some problems in Bridgeland stability conditions and mirror symmetry. In this talk, I will give a formula for the number of full exceptional collections for an orbifold projective line, which can be regarded as a generalization for Dynkin cases. Based on mirror symmetry, I will explain the relationship between the number and the degree of the Lyashko—Looijenga map for the orbifold projective line. This talk is based on a joint work with Yuuki Shiraishi and Atsushi Takahashi.


Spring 2024 Schedule

March 13: Guillaume Tahar (Beijing Institute of Mathematical Sciences and Applications), Isoresidual fibration and resonance arrangements [slides]

March 20: Yat-Hin Suen (Korea Institute for Advanced Study), Toric vector bundles, non-abelianisation, and spectral networks [slides]

March 27: Ziming Nikolas Ma (Southern University of Science and Technology), Deformation theory, Fukaya's conjecture and the Gross-Siebert program [slides]

April 10: Jun Zhang (University of Science and Technology of China), Metric geometry on Grothendieck groups in symplectic geometry [slides]

April 17: Takumi Otani (Tsinghua University), The number of full exceptional collections for orbifold projective lines [slides]

May 8: Hiroki Matsui (Tokushima University)

May 15: Asilata Bapat (Australian National University) (special time: 12:30-1:30pm)

May 22: Xun Yu (Tianjin University)

May 29: Fei Yu (Zhejiang University)


Fall 2023 Schedule

December 6: Jia Jia (Tsinghua University), Wild automorphisms of compact complex spaces [slides]

December 13: Atsushi Kanazawa (Keio University), Mirror symmetry and rigid structures of generalized K3 surfaces [slides]

December 20: Sangjin Lee (Korea Institute for Advanced Study), A lower-bound of entropy from symplectic topology [slides]

January 3: Pranav Pandit (International Centre for Theoretical Sciences), Formal deformations of higher categories

January 10: Dongjian Wu (Tsinghua University), Riemann-Hilbert problems from rank 3 WKB spectral networks