## Lecturer:

Karim Adiprasito

Title: Combinatorial Geometry

Abstract:

Matroids or (combinatorial) geometries are natural abstractions of

the concept of linear and algebraic independence over fields, were defined

by Whitney nearly a century ago. Since then, they have become a crucial tool

in model theory, graph coloring, noncommutative geometty and the study of

characteristic classes. Quite amazingly, it was recently shown that matroids

satisy deep results classically associated to algebraic varieties, something

that was not expected in this generality.

I will introduce matroids, and show that they are, at the same time, simple

abstractions of linear independence and much deeper than that.I will also,

in a very simple way, discuss some of the modern research topics in the

area.

Abstract:

Matroids or (combinatorial) geometries are natural abstractions of

the concept of linear and algebraic independence over fields, were defined

by Whitney nearly a century ago. Since then, they have become a crucial tool

in model theory, graph coloring, noncommutative geometty and the study of

characteristic classes. Quite amazingly, it was recently shown that matroids

satisy deep results classically associated to algebraic varieties, something

that was not expected in this generality.

I will introduce matroids, and show that they are, at the same time, simple

abstractions of linear independence and much deeper than that.I will also,

in a very simple way, discuss some of the modern research topics in the

area.

## Date:

Wed, 11/11/2015 - 18:00 to 19:00

## Location:

Math 2 (Manchester building)