Geometry Seminar

                                                                                                                      Vanderbilt University
                                                                                                                             Fall  2016


   Organizers:  Gennadi Kasparov, Ioana Suvaina, Rares Rasdeaconu

   Fridays, 3:10-4:00pm in SC 1310 (unless otherwise noted)



Friday, September 23rd

Speaker:  Jonathan Campbell, Vanderbilt University

Title: Waldhausen's Algebraic K-Theory

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

Speaker:  Ioana 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 distinguish homeomorphic,
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.








 

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