Event Type:

Topology Seminar

Date/Time:

Tuesday, May 3, 2011 - 05:00

Location:

Kidder 358

Local Speaker:

Abstract:

A spin structure on a manifold is a two-dimensional analogue

to the "one-dimensional" notion of an orientation. As is the case for

orientability, not all manifolds admit spin structures. The ones that

do, so called "spin manifolds", have important topological and

geometric properties. In this talk, I will give a basic introduction

to the theory of spin manifolds and discuss some of the geometric

implications of being "spin".

Motivation: The question of what exactly is meant by "spin" was put to

one of my colleagues, by a student, at a recent conference. A debate

then ensued as to how to best explain the concept. This talk will be

my attempt.