Parahoric reduction of formal G-connections

Time：Thur., 10:00-11:00 am, Mar. 27, 2025

Venue：Zoom Meeting ID: 4552601552 Passcode: YMSC

Organizer：Hansheng Diao, Heng Du, Yueke Hu, Bin Xu, Yihang Zhu

Speaker：Zhi Hu

BIMSA-YMSC Tsinghua Number Theory Seminar

Organizers：

Hansheng Diao, Heng Du, Yueke Hu, Bin Xu, Yihang Zhu

Speaker：

Zhi Hu (NJUST)

Time：

Thur., 10:00-11:00 am, Mar. 27, 2025

Online：

Zoom Meeting ID: 4552601552

Passcode: YMSC

Title：

Parahoric reduction of formal G-connections

Abstract:

In this talk, we will establish parahoric reduction theory for G-connections over formal punctured disk, which generalizes classical Levelet-Turrittin-Babbitt-Varadarajan’s theory. As applications, it provides the Tannakian functoriality of regularity via Bremer-Sage’s geometric minimal K-type theory, and also a parahoric version of Frenkel-Zhu’s Borel reduction. This is a joint work with Pengfei Huang, Ruiran Sun, and Runhong Zong.

DATEMarch 26, 2025

Related News

0
MCM-YMSC p-adic Geometry Learning Seminar | Review of formal connections on a punctured disc
Review of formal connections on a punctured dis
1
A Deligne-Simpson problem for irregular G-connections over P^1 | GRASP seminar
AbstractThe Deligne-Simpson problem asks for the existence of meromorphic G-connections withprescribed local behavior at the poles. l will explain joint work with Zhiwei Yun in which we give asolution to this problem for G-connections on P^1 with two poles, one of which is regular singularwith residue in a fixed nilpotent orbit, the other of which is irregular and satisfies a condition that wec...