Introduction to étale cohomology
Matthew Hase-Liu (Harvard)
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 )
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.
Fall 2025 topic: Weil conjectures.
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: | Xinyu Fang*, Mikayel Mkrtchyan*, Hao Peng*, Vijay Srinivasan*, Eran Asaf*, Bjorn Poonen*, Wei Zhang* |
| *contact for this listing |