Overconvergent Lattices and Berkovich Spaces

Algebra Seminar
Tuesday, April 24, 2012 - 14:00
1 hour (actually 50 minutes)
Skiles 006
UC Berkeley
The construction of the Berkovich space associated to a rigid analytic variety can be understood in a general topological framework as a type of local compactification or uniform completion, and more generally in terms of filters on a lattice.  I will discuss this viewpoint, as well as connections to Huber's theory of adic spaces, and draw parallels with the usual metric completion of $\mathbb{Q}$.