Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	赵鹭天博士，University of Maryland
Inviter:
Title:	Nonabelian Hodge Theory of parahoric torsors
Language:	Chinese
Time & Venue:	2023.06.08 09:00-10:00 腾讯会议：167-134-084 密码：0608
Abstract:	A captivating aspect of modern mathematical research has been establishing a bijective correlation between Higgs bundles and local systems over a noncompact Riemann surface. C. Simpson, who ingeniously introduced weighted filtrations for the concerned objects, accomplished this remarkable achievement. Our discussion will extend this correspondence by exploring the relationship between Dolbeault and de Rham moduli spaces for general complex reductive structure groups. In this process, we will employ the powerful language of parahoric group schemes, as originally conceptualized by Bruhat-Tits. This talk is based on our joint efforts with Georgios Kydonakis, Pengfei Huang, and Hao Sun, to enhance the understanding of these correlations.