Title: Cohomology boundedness for flat bundles on surfaces
Speaker: Assoc. Prof. Haoyu Hu（胡昊宇）
Affiliation: Nanjing University（南京大学）
Time: 10:30-11:30, Wednesday, Nov 30th, 2022 (UTC+8, Beijing Time)
Venue：腾讯会议/VooV Meeting （799-615-152）
入会链接：https://meeting.tencent.com/dm/btnoXL3Giy6m
Inviter: Chao ZHANG （张超）， Hao ZHANG （张浩）
Abstract
The moduli problems for flat bundles on smooth complex varieties were considered by C. Simpson and N. Nitsure, only involving regular connections. In this talk, we introduce a boundedness result for the de Rham Betti numbers of meromorphic connections on surfaces with prescribed ranks and irregularities. It gives a necessary condition for the existence of moduli spaces for irregular connections conjectured by Esnault-Langer. This is a joint work with J.-B. Teyssier.
About the Speaker
胡昊宇，南京大学数学系副教授，师从代数几何学家扶磊教授与Ahmed Abbes教授，在2014年获得南开大学与巴黎十一大双博士学位。其后分别在东京大学与Max-Planck研究所从事博士后研究工作，2018年入职南京大学。主要研究方向为算术几何，特别是ℓ-进层的分歧理论。在Crelle，IMRN，Selecta Math., Math.Z.等杂志发表多篇文章。