### Graduate Student Seminar, 4:30 pm March 20, 2006; HH229

#### Speaker:

Corbett Redden

#### Title:

Spin and String(?) Geometry

#### Abstract:

In mathematics, one often wants to know what kinds of geometry can be
put on a manifold. Specifically, when can a manifold be positively
curved? We will see that if the manifold has a spin structure, then an
interesting blend of topology and analysis (index theory) gives a very
useful obstruction to positive scalar curvature metrics. We will then
discuss an analogous situation when the manifold has a string
structure. In this case, there is a conjectured obstruction to having
positive Ricci curvature. I will not be assuming any knowledge of the
words in this abstract (except mathematics).

To volunteer to give a talk, or for any other questions regarding this schedule,
contact Sara Miller