**UM Math Graduate Student Seminar**

Nuno Cardoso*University of Miami***will present**

**Representation Theory and Algebraic Geometry**

Friday, October 26th, 2018, 5:00pm

Ungar Building Room 402**Abstract:**

The problem of classification of representations of wild algebras is

considered by many as hopeless, and several of the classical tools of

representation theory cannot be applied in this case. In the first part of

the talk, we will discuss how algebraic geometry can be used to approach

this problem. In the second part, we will introduce the terminology

required to understand an important theorem of A. Bondal which says that

the study of coherent sheaves on algebraic varieties is, in some important

cases, equivalent to the study of representations of quivers with

relations. Time permitting, we will discuss how quivers can be used to

categorify the concept of a perverse sheaf.