For more information about this meeting, contact Augustin Banyaga, Mari Royer, Aissa Wade, Diane Henderson.
| Title: | Gerbes, principal 2-group bundles and characteristic classes |
|---|
| Seminar: | Symplectic Topology Seminar |
|---|
| Speaker: | Mathieu Sienon, PSU |
|---|
| Abstract: |
|---|
| Title: Gerbes, principal 2-group bundles and characteristic classes
Abstract: It is well known that a principal $G$-bundle $P$ over a
manifold $M$ determines a homotopy class of maps $f$ from $M$ to the
classifying space $BG$ of the group $G$. Pulling back the generators
of $H^*(BG)$ through $f$, one obtains characteristic classes of the
principal bundle $P$ over $M$. It is a classical theorem of Chern and
many others that these characteristic classes coincide with those
obtained from the Chern-Weil construction using connections and
curvatures. Gerbes are higher order analogues of principal bundles. We
will discuss an analogue of Chern's theorem for gerbes. The idea is to
relate Gerbes to 2-group principal bundles, and to study
characteristic classes of these principal 2-group bundles. Recently, |
Room Reservation Information
| Room Number: | MB315 |
|---|
| Date: | 10 / 02 / 2008 |
|---|
| Time: | 01:25pm - 02:15pm |
|---|
