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# Atiyah-Singer Index Seminar

**
Tue., Feb. 9, 2016 10:00 a.m.
**

**
Location: RIC 215
**

**Speaker:**Asghar GhorbanpourChern-Weil Theory, I**Title:**

**Abstract:**The theory of vector bundles over topological spaces provides a method

to study the topology of the base. This is made possible by the theory

of characteristic classes. In the case of vector bundles on smooth

manifolds, Chern-Weil theory gives a computational recipe by which the

curvature two form of connections is used to compute these classes. In

this session (and the next one) of our seminar we will review the

Chern-Weil theory. We are going to follow very closely the appendix C of

the J. Milnor & J. Stasheff's fantastic book "Characteristic Classes".