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A Glimpse into the Langlands Program III - Ana Caraiani 

Institute for Advanced Study
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2024 Program for Women+ and Mathematics
Topic: A Glimpse into the Langlands Program III
Speaker: Ana Caraiani
Affiliation: Imperial College, London
Date: May 23, 2024
The goal of this lecture series is to give you a glimpse into the Langlands program, a central topic at the intersection of algebraic number theory, algebraic geometry and representation theory. In the first lecture, we will look at a celebrated instance of the Langlands correspondence, namely the modularity of elliptic curves. I will try to give you a sense of the different meanings of modularity and of the multitude of ingredients that go into establishing such a result. In the following lectures, I will focus on the more geometric ingredients, first in the special case of the modular curve and then for higher-dimensional Shimura varieties.

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22 май 2024

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