PIRSA:25110064

Probing the classical limit of local Langlands duality

Pantev, T. (2025). Probing the classical limit of local Langlands duality. Perimeter Institute. https://pirsa.org/25110064

Pantev, Tony. Probing the classical limit of local Langlands duality. Perimeter Institute, Nov. 04, 2025, https://pirsa.org/25110064 

          @misc{ pirsa_PIRSA:25110064,
            doi = {10.48660/25110064},
            url = {https://pirsa.org/25110064},
            author = {Pantev, Tony},
            keywords = {Mathematical physics},
            language = {en},
            title = {Probing the classical limit of local Langlands duality},
            publisher = {Perimeter Institute},
            year = {2025},
            month = {nov},
            note = {PIRSA:25110064 see, \url{https://pirsa.org}}
          }

Tony Pantev University of Pennsylvania

Talk numberPIRSA:25110064
DOI10.48660/25110064
Collection
Talk Type Conference
Subject

Abstract

I will discuss a conjectural classical limit of the geometric local Langlands correspondence which identifies the category of coherent sheaves on the moduli of Higgs bundles on a formal disk with the category of coherent sheaves on the moduli of framed Higgs bundles on the formal disk. As in the global case, the correspondence should intertwine Willson and Hecke symmetries. I will discuss how a version of Contou-Carrere duality leads to a construction of the classical limit local Langlands correspondence over the open part of the Higgs moduli parametrizing Higgs bundles or framed Higgs bundles with smooth cameral covers. This is a joint work with Gurbir Dhillon and Roman Fedorov.