Organizers: Gennadi Kasparov, Ioana
Suvaina, Rares Rasdeaconu
3:10-4:00pm in SC 1310 (unless otherwise noted)
Friday, September 23rd
Campbell, Vanderbilt University
Title: Waldhausen's Algebraic
Abstract: In preparation for my
talk next week, I'll introduce algebraic K-theory. In
particular, I'll introduce
a formulation due to Waldhausen, which is the most general version of the algebraic K-theory machine.
I'll discuss some examples, and discuss some places of interest where this machine fails to work (which I
will discuss in the next talk). The talk will require no previous knowledge of algebraic K-theory.
Friday, September 30th
Suvaina, Vanderbilt University
Title: Seiberg-Witten Theory and
Geometry of 4-Manifolds
Abstract: The Seiberg-Witten
theory provides a smooth invariant, which can be used to
non-diffeomorphic, smooth structures. It also has a deep impact on the Riemannian properties of 4-manifolds.
We will discuss how obstructions to the existence of Einstein metrics arise, and how one can compute the Yamabe
invariant for Kahler surfaces and some symplectic 4-manifolds.