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Parahoric reduction of formal G-connections

来源: 03-26

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

地点:Zoom Meeting ID: 4552601552 Passcode: YMSC

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

主讲人: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.

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