#### Non-Commutative Integrability, Paths and Quasi-determinants- Towards Non-Commutative Cluster Algebras

Philippe di Francesco

University of Illinois at Urbana-Champaign

August 15, 2011

#### Combinatorial approaches for the subgroup restriction problem

Milind Sohoni

Indian Institute of Technology

August 5, 2011

#### Decision versus evaluation in algebraic complexity theory

Pascal Koiran

Ecole Normale Superior of Lyon

August 5, 2011

#### Elliptic curves and Hilbert's Tenth Problem

Kirsten Eisentraeger

Pennsylvania State University

August 4, 2011

#### Complexity Problems for Diophantine Equations

Jeffrey Lagarias

University of Michigan

August 4, 2011