Algebraic geometry seminar

Date

Tuesday, 26 March, 11.30 am

Venue

Room 215

Host

Sudarshan Gurjar

speaker

Nitin Nitsure

Affiliation

Bhaskaracharya Pratishthana

Title

Galois descent and Galois cohomology: examples and calculations.

Abstract

We will begin by recalling the calculus of Galois descent, and its translation into Galois cohomology classes for twisted forms. After that, we will look at common examples, involving Galois twisted forms of algebraic groups, Brauer Severi varieties, and vector bundles (Hilbert 90). The final example will be the Galois twisted from over reals of a non-separated affine line with doubled origin. This twisted form is an algebraic space which is not a scheme.