Decidability of integral points on some moduli spaces2022.02.14
- 2021-11-03 (16:00 ~ 18:00)
November3(Wednesday) 2021, 16:00 – 18:00,via Zoom
▶Speaker : Jun-Ho Hwang(Seoul National University)
▶Title : Decidability of integral points on some moduli spaces
▶Abstract : We discuss the Diophantine study of integral points on certain moduli spaces that arise in geometry.
First, we study the integral points on moduli spaces of SL2-local systems on surfaces with prescribed boundary monodromy,
and establish their decidability and effective finite generation using mapping class group action and differential geometric tools.
The second family we discuss are the moduli spaces of Stokes matrices with prescribed Coxeter invariants.
For these, we present recent and ongoing work on the structure of the integral points under a nonlinear braid group action (partly joint with Yu-Wei Fan),
and highlight an exceptional connection to the first moduli spaces.
* Title : Decidability of integral points on some moduli spaces – BRL Seminar
▶Date: 2021.11.03. (16:00~)
▶ Zoom link : https://unist-kr.zoom.us/j/86330589065
UNIST Number Theory group website