PIRSA:22060011

Analytic Langlands correspondence over C and R

APA

Etingof, P. (2022). Analytic Langlands correspondence over C and R. Perimeter Institute. https://pirsa.org/22060011

MLA

Etingof, Pavel. Analytic Langlands correspondence over C and R. Perimeter Institute, Jun. 07, 2022, https://pirsa.org/22060011

BibTex

          @misc{ pirsa_22060011,
            doi = {},
            url = {https://pirsa.org/22060011},
            author = {Etingof, Pavel},
            keywords = {Mathematical physics},
            language = {en},
            title = {Analytic Langlands correspondence over C and R},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {jun},
            note = {PIRSA:22060011 see, \url{https://pirsa.org}}
          }
          

Abstract

I will review the analytic component of the geometric Langlands correspondence, developed recently in my joint work with E. Frenkel and D. Kazhdan (based on previous works by other authors, including A. Braverman, R. Langlands, J. Teschner, M. Kontsevich), with a special focus on archimedian local fields, especially R. This is based on our work with E. Frenkel and D. Kazhdan and insights shared by D. Gaiotto and E. Witten.