**BİLKENT
ALGEBRAIC **

TOPOLOGY SEMINAR

**"****Wu Formulas and **

**Related Topics****"**

By

# ALEXANDER DEGTYAREV

# (Bilkent University)

** **

**Abstract: **I will try to discuss a few more or less classical topics that I always wanted
to cover in my algebraic topology courses but never managed to find time for.
We will start with the topological Riemann--Roch theorem and Thom's approach to
the construction of the Stiefel--Whitney classes. As an immediate consequence,
we will obtain Wu formulas, the homotopy invariance of the characteristic
classes of smooth manifolds, universal relations between characteristic
classes/numbers of manifolds, etc. Next, I will illustrate how the same
techniques applied to other extraordinary cohomology theories may yield such
deep results as, say, the divisibility theorems for Pontrjagin numbers.
Alternatively, if time permits, I will try to discuss an equivariant version of
Wu classes in real algebraic varieties.

**Date: ****Monday, March 24, 2014**

**Time: ****13.40-15.00**

**Place: ****Mathematics Seminar Room,
SA-141**

** **

** **

**All are most cordially invited.**

Tea and cookies will be served after the talk.