## STPM - The Spectrum of the Critical Almost Mathieu Operator

Mira Shamis
September 29, 2010

## STPM - Geometric Realization of the Local Langlands Correspondence

Sug Woo Shin
September 29, 2010

## STPM - Perturbation Series for Band Matrices and for the Anderson Model

Alexander Sodin
September 29, 2010

## STPM - Some Questions Regarding Arithmetic Circuits

Srikanth Srinivasan
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.

Junecue Suh