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Explore the intersection of algebraic geometry and automorphic functions in this mathematical lecture that examines how the recently established geometric Langlands equivalence provides explicit descriptions of unramified automorphic functions through Langlands parameters. Delve into the derivation of these descriptions and discover their applications in proving expected properties of automorphic functions, including the Ramanujan and Arthur multiplicity conjectures. Learn from research conducted collaboratively with Vincent Lafforgue and Sam Raskin, presented as part of the Math Science Lectures in Honor of Raoul Bott series. Gain insights into advanced topics in algebraic geometry, number theory, and the geometric Langlands program from a leading expert at the Max Planck Institute for Mathematics.
