Étale Cohomology and the Weil Conjectures
This is a learning seminar on the fundamentals of Étale Cohomology, which will culminate in the proof of the Weil Conjectures. If you are at Berkeley and would like to give a talk, please email me.
Time: Fridays, 3-4 PM.
Location: Evans 736.
References: Mostly Milne’s Lecture Notes. We may occasionally draw from other sources such as Milne’s textbook on the same topic for more examples.
Schedule of Talks:
| Date | Speaker | Topic |
|---|---|---|
| September 27 | Robin | Basic Definitons and Eilenberg Steenrod Axioms (1.9) |
| October 4 | CJ | Ċech Cohomology, Principal Homogeneous Spaces and H^1 (1.10-11), Notes |
| October 11 | Robin | Higher Direct Images, Leray Spectral Sequence, Weil Divisor Exact Sequence, Cohomology of G_m (1.12-1.13), Notes |
| October 25 | Swapnil | Cohomology of Curves, Pt 1 (1.14) |
| November 1 | Swapnil | Cohomology of Curves, Pt 2 (1.14) |
| November 8 | CJ | Examples, Cohomological Dimension (1.14-1.15), Notes, Pages 1-2 |
| November 15 | CJ | Purity, the Gysin Sequence, Proper Base Change (1.16-1.17), Notes Pages 2-4 |