22-27 November 2021
10th floor of Media Center, Osaka City University, Osaka, Japan & Zoom
Asia/Tokyo timezone

Worldsheet Variables for Cluster Configuration Spaces

25 Nov 2021, 11:45
15m
Short talk online (Zoom) Short talks

Speaker

Peng Zhao (Institute of Theoretical Physics, Chinese Academy of Sciences)

Description

We introduce worldsheet variables for a certain moduli space associated with a Dynkin diagram of finite type. The construction is based on gluing a pair of A-type quivers. We find new nonlinear factors that characterize such spaces as hypersurface arrangement complement. We study various topological properties using a finite-field method and propose conjectures about quasi-polynomial point count, dimensions of cohomology, and Euler characteristics for the Dn space up to n=10. These new variables have applications for string integrals, cluster alphabets, etc.

Presentation Materials