Foundational Mathematics Research Seminar: Geometry of parahoric Higgs Bundles 


10:00 AM - 11:00 AM



  • Time:10:00-11:00 pm (Beijing Time)
  • Date: Friday, 14th June, 2024
  • Venue: MB441
  • Speaker: Dr. Lutian Zhao, University of Maryland, College Park
  • Language: English


Modern mathematical research has been enriched by exploring the bijection between Higgs bundles and local systems over noncompact Riemann surfaces, an incredible feat accomplished profoundly by C. Simpson by introducing weighted filtrations. In this discussion, our focus will be on further unraveling this relationship by delving into the correlation between the Dolbeault and de Rham moduli spaces for generally complex reductive structure groups,with the language of parahoric group schemes as initially established by Bruhat-Tits. We further investigated how the Langlands duality come into play. This presentation is based on collaborative work with Georgios Kydonakis, Pengfei Huang, and Hao Sun.


Dr. Lutian Zhao graduated from University of Illinois Urbana-Champaign with a Ph.D in mathematics. He is currently a postdoctoral fellow in University of Maryland, College Park. His research interest is in algebraic geometry related to moduli of sheaves. He has published several articles on Higgs bundles in Math Z, Trans American Math, Mathematisches Annalen etc.

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