### Overconvergent Lattices and Berkovich Spaces

- Series
- Algebra Seminar
- Time
- Tuesday, April 24, 2012 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Andrew Dudzik – 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 $\mathbb{Q}$.