PIRSA:23040005

Chromatic aberrations of the geometric Satake equivalence

Devalapurkar, S. (2023). Chromatic aberrations of the geometric Satake equivalence. Perimeter Institute. https://pirsa.org/23040005

Devalapurkar, Sanath. Chromatic aberrations of the geometric Satake equivalence. Perimeter Institute, Apr. 14, 2023, https://pirsa.org/23040005 

          @misc{ pirsa_PIRSA:23040005,
            doi = {10.48660/23040005},
            url = {https://pirsa.org/23040005},
            author = {Devalapurkar, Sanath},
            keywords = {Mathematical physics},
            language = {en},
            title = {Chromatic aberrations of the geometric Satake equivalence},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {apr},
            note = {PIRSA:23040005 see, \url{https://pirsa.org}}
          }

Sanath Devalapurkar Harvard University

DOI 10.48660/23040005
Collection
Talk Type Scientific Series
Subject

Abstract

The (derived) geometric Satake equivalence plays a central role in the geometric Langlands program: roughly, it describes the category of constructible sheaves of C-vector spaces on Bun_G(S^2) in terms of the Langlands dual group G^. In this talk, I will describe some ideas connecting chromatic homotopy theory to the derived geometric Satake equivalence. For example, we will describe the category of locally constant sheaves of A-modules on Bun_G(S^2), where A is complex K-theory or an elliptic cohomology theory, in Langlands
dual terms. Some of this work was motivated by considerations from physics, and I hope to say what little I know about this, as well as sketch its relationship to the Ben-Zvi-Sakellaridis-Venkatesh program.

Zoom Link:  https://pitp.zoom.us/j/94926220665?pwd=bVZFUFlvZGxVSG0xUFc1SGNaTDBKZz09