# Mathematics Algebra Seminar - Wayne Raskind

This event is in the past.

**Date:**October 1, 2019

**Time:**3:00 p.m. - 4:00 p.m.

**Category:**Seminar

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.