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> Atiyah-Singer Index Seminar (Ghorbanpour)

Atiyah-Singer Index Seminar
Tue., Feb. 23, 2016 10:00 a.m.
Location: RIC 215
- Speaker: Asghar Ghorbanpour
- Title: Chern-Weil Theory, II
- 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".