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Analytic Langlands correspondence for complex curves

SEMINARS: MATHEMATICAL PICTURE LANGUAGE

When: April 5, 2022
9:30 am - 10:30 am
Where: Virtually
Speaker: Edward Frenkel - University of California, Berkeley

I will start the lecture with a brief introduction to various flavors of the Langlands correspondence. I will then explain the setup of a new flavor: the analytic Langlands correspondence for complex curves which was recently fomulated by Pavel Etingof, David Kazhdan, and myself (see arXiv:1908.09677, 2103.01509, and 2106.0524). It can be interpreted in terms of a quantum integrable system, which is obtained by “doubling” the celebrated quantum Hitchin system.

Zoom:   https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09