In this post we find the Picard group of the circle using cohomology, and more generally discuss a cohomological description of .
Month: December 2014
An invitation to p-adic Hodge theory, or: How i learned to stop worrying and love period rings
This is the rough outline of a talk I recently gave at the Berkeley Student Algebraic Geometry Seminar on the progression of ideas that might lead one to define the Hodge-Tate decomposition.
Hodge Symmetry in characteristic Zero
In this post we prove that varieties over characteristic fields are all ‘Hodge symmetric’, meaning that
.