## Topology of Random Simplicial Complexes

Matthew Kahle
October 5, 2010

In this talk I will overview two very different kinds of random simplicial complex, both of which could be considered higher-dimensional generalizations of the Erdos-Renyi random graph, and discuss what is known and not known about the expected topology of each. Some of this is joint work with Eric Babson and Chris Hoffman.

## The Completed Cohomology of Arithmetic Groups

Frank Calegari
Northwestern University; Member, School of Mathematics
October 6, 2010

## Overview of the p-Adic Local Langlands Correspondence for $GL(2,Q_p)$

Pierre Colmez
National Center for Scientific Research
October 7, 2010

(Introduction to the Lecture Series and and overview for those unable to attend the whole Lecture Series)

## Imaging of Small Inhomogeneities, Homogenization and Super Resolution

Yves Capdeboscq
University of Oxford; Institute for Advanced Study
October 8, 2010