## STPM - L^p Concentration of Semiclassical Quasimodes

Melissa Tacy
September 30, 2010

## STPM - Torsion-Freeness of Certain Cohomology Groups of PEL-Type Shimura Varieties

Junecue Suh
September 30, 2010

## STPM - Sparce Approximation of PSD Matrices

Nikhil Srivastava
September 30, 2010

I will discuss the problem of approximating a given positive semidefinite matrix A , written as a sum of outer products $vv^T$ , by a much shorter weighted sum in the same outer products. I will then mention an application to sparsification of finite undirected graphs.

## STPM - Some Questions Regarding Arithmetic Circuits

Srikanth Srinivasan