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Reciprocity in the Langlands program since Fermat’s Last Theorem

Mathematics Colloquium

Reciprocity in the Langlands program since Fermat’s Last Theorem
Series: Mathematics Colloquium
Location: ONLINE
Presenter: Francesco Calegari, University of Chicago

The spectacular proof of Fermat’s Last Theorem not only answered a famous open question in mathematics, it also introduced a powerful new technique ("The Taylor-Wiles method”) for studying problems in arithmetic. The aim of this talk is to give an overview of developments in the field since then, but also to address the larger context of what (my part) of the Langlands program is really all about and what problems it hopes to solve. The audience for this talk is decidedly supposed to be first year graduate students and mathematicians with no background in either number theory or algebraic geometry.

(Colloquium "Tea" will be held 30 minutes prior to the talk. Video chat links and passwords will be shared to all@math email.)