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October 1, 2019 | 3:00 p.m. - 4:00 p.m.
Category: Seminar
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free

Speaker: Wayne Rakind, (Professor), Wayne State University

Title: Etale cohomology of algebraic varieties over the maximal cyclotomic extension of a number field

Abstract: Let k be a finite field extension of Q and K be the maximal cyclotomic extension of k, which is obtained by adjoining all roots of unity to k.  Let X be a smooth projective variety over k.  Building on work of Ribet on H^1 and Roessler-Szamuely for general odd degree cohomology, we consider the case of even degree etale cohomology of X over an algebraic closure of k and its fixed part by the absolute Galois group of K.

For more information about this event, please contact Department of Mathematics at 313-577-2479 or