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Cohomology of arithmetic groups and Fermat's Last Theorem

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Speaker: 
Mehmet Haluk Sengun
Affiliation: 
University of Sheffield/MPIM
Date: 
Wed, 2018-04-25 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

We use two fundamental reciprocity conjectures in the Langlands Program that involve the cohomology of arithmetic groups and derive an algorithmically testable criterion for a number field K which, if satisfied, implies the truth of asymptotic Fermat's Last Theorem over K. Most imaginary quadratic fields satisfy the criterion. This is joint work with Samir Siksek (Warwick).

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