**Date & Time:** Monday, March 29, 2010, 16:30-17:30.

**Venue:** Ramanujan Hall

**Title:** An Introduction to Cluster Algebras

**Speaker:** Javad Asadollahi, University of Isfahan

**Abstract:**
Cluster Algebras were invented by Fomin and Zelevinsky in joint work in
2000. Their aim was to find a combinatorial approach to two theories due to
G. Luszting: the theory of canonical bases in quantum group theory and
theory of total positivity in algebraic groups. After that, the theory of
cluster algebras has witnessed spectacular growth, according to the many
links that have been discovered with a wide range of subjects including
Poisson Geometry, Teichmuller spaces, integrable systems, combinatorics and
the representation theory of quivers and finite dimensional algebras.
In this descriptive talk, first we will discuss the notion of representation
of quivers and then we will study quiver mutations and the cluster algebra
associated with a quiver, following Fomin-Zelevinsky.