Moduli Spaces of Bundles -- With Some Twists
| MEMBERS SEMINAR | |
| Topic: | Moduli Spaces of Bundles -- With Some Twists |
| Speaker: | Jochen Heinloth |
| Affiliation: | University of Amsterdam and Member, School of Mathematics |
| Date: | Monday, November 30 |
| Time/Room: | 2:00pm - 3:00pm/S-101 |
Semisimple Lie groups seem to be very rigid objects. In arithmetic situations the fact that a semisimple group may degenerate into a non-semisimple one in a family is well known. In geometric situations this phenomenon has not been applied that much, although some well known moduli problems can be formulated in a natural way using such families.
Pappas and Rapoport (motivated by a local analog - twisted loop groups) suggested studying moduli spaces of bundles related to such degenerations over curves and made a series of conjectures on the geometry of the corresponding moduli spaces of bundles.
In this talk I would like to motivate the setup of their conjectures by some explicit examples of degenerations and explain why the flexibility of this general setup can be very useful.