College of Liberal Arts & Sciences

# MATHEMATICS COLLOQUIUM - Ioana Suvaina (Vanderbilt University)

Speaker:

Ioana Suvaina (Vanderbilt University)

Topic:

Existence and Non-existence of Einstein Metrics on Four Manifolds

Abstract: The existence or non-existence of Einstein metrics on a topological

4-space is fundamentally related to the differential structure considered.

We will discuss this property in the context of the geography of four

manifolds. Most of the differential structures considered are non standard.

In the case of the standard smooth structure, where the manifolds are connected

sums of complex projective spaces and complex projective spaces

with the reversed orientation, we exhibit infinitely many non equivalent smooth

actions of finite cyclic groups. We show that these actions give obstructions

to the existence of Einstein metrics.

Event Date:

March 3, 2016 - 3:30pm to 4:30pm

Location:

213 MLH

Host:

Ionut Chifan

Calendar Category:

Colloquium