Introduction to étale cohomology

Matthew Hase-Liu (Harvard)

21-Sep-2020, 19:00-20:30 (4 years ago)

Abstract: References: Poonen, Rational points on varieties, Chapter 6; or Milne, Lectures on étale cohomology.

A crash course on étale cohomology covering the following: sites and cohomology, the étale site and operations on étale sheaves, Frobenius action, stalks of étale sheaves, cohomology with compact support, and important theorems/necessity of torsion coefficients.

algebraic geometrynumber theory

Audience: advanced learners

( slides )


STAGE

Series comments: STAGE (Seminar on Topics in Arithmetic, Geometry, Etc.) is a learning seminar in algebraic geometry and number theory, featuring speakers talking about work that is not their own. Talks will be at a level suitable for graduate students. Everyone is welcome.

Spring 2024 topic: The contents of Serre, Lectures on the Mordell-Weil theorem

Some topics might take more or less time than allotted. If a speaker runs out of time on a certain date, that speaker might be allowed to borrow some time on the next date. So the topics below might not line up exactly with the dates below.

Organizers: Raymond van Bommel*, Edgar Costa*, Bjorn Poonen*, Shiva Chidambaram*
*contact for this listing

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