Posted in
Speaker:
Alexandru Buium
Affiliation:
University of New Mexico/MPIM
Date:
Wed, 03/07/2019 - 14:30 - 15:30
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar Let GL_n be the general linear group scheme over the integers.We show that the p-adic completion of GL_n possessescertain remarkable Frobenius lifts attached to integral symmetric matrices; these Frobenius liftscan be viewed as arithmetic analogues, for Spec Z, of the Levi-Civita connection attached to a metric on a manifold. We then show how these Frobeniuslifts admit algebraizations by correspondences on GL_n; the commutatorsof these correspondences can be viewed as an arithmetic analogue, for Spec Z, of Riemannian curvature.
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