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Speaker:
Daniel Loughran
Affiliation:
University of Manchester
Date:
Wed, 16/01/2019 - 14:30 - 15:30
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar A classical theorem due independently to Landau and Ramanujan
gives an asymptotic formula for the number of integers which can be
written as a sum of two squares. We prove an analogous result for the
determinant of a matrix using the spectral theory of automorphic forms.
This is a special case of a more general result on a problem of Serre
concerning specialisations of Brauer group elements on semisimple
algebraic groups. This is joint work with Sho Tanimoto and Ramin
Takloo-Bighash.
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