Algebra-Topology Seminar
We meet on Mondays, 12:15 pm in HG G 43. If you have any questions send an email to one of the organizers.
Spring Semester 2012
| Date |
Speaker |
Title |
Time |
Location |
| 27-29.02.2012 |
Soren Galatius
|
Stable cohomology of moduli spaces of high dimensional manifolds.
|
12:15-13:15 |
HG G 43 |
| Abstract: |
In recent work with Randal-Williams (arXiv:1201.3527v1), we study the space of all possible compact submanifolds of euclidean space with prescribed boundary P. I will start by defining this space properly and explain how its cohomology gives characteristic classes of manifold bundles with prescribed boundary. The monoid of self-bordisms of P acts on this cohomology, and the invariants give characteristic classes of manifold bundles which are unchanged by fiber gluing with trivial manifold bundles (similarly to how Pontryagin or Chern classes of vector bundles are unchanged by fiberwise summing with trivial vector bundles). Then I will explain our main theorem, which determines this ring of invariants in the case where P has odd dimension (2n-1) and the bounding manifolds are required to be (n-1)-connected relative to P. The case where P is the circle is essentially the Madsen--Weiss theorem about stable cohomology of moduli space of Riemann surfaces. The case where P is a (2n-1)-sphere is a higher-dimensional analogue of Madsen--Weiss, concerning the connected sum of g copies of S^n times S^n. |
| Speakers: |
Soren Galatius
(Stanford University)
|
|
| 05-07.03.2012 |
|
|
12:15-13:15 |
HG G 43 |
|
|
| 12-14.03.2012 |
|
|
12:15-13:15 |
HG G 43 |
|
|
| 19-21.03.2012 |
|
|
12:15-13:15 |
HG G 43 |
|
|
| 26-28.03.2012 |
|
|
12:15-13:15 |
HG G 43 |
|
|
| 02-04.04.2012 |
Armin Shalile
|
TBA
|
12:15-13:15 |
HG G 43 |
| Speakers: |
Armin Shalile
(Universität Stuttgart)
|
|
| 09-11.04.2012 |
|
Eastern break
|
|
HG G 43 |
|
|
| 16-18.04.2012 |
|
|
12:15-13:15 |
HG G 43 |
|
|
| 23-25.04.2012 |
|
|
12:15-13:15 |
HG G 43 |
|
|
| 30.04-02.05.2012 |
|
|
12:15-13:15 |
HG G 43 |
|
|
| 07-09.05.2012 |
|
|
12:15-13:15 |
HG G 43 |
|
|
| 14-16.05.2012 |
|
|
12:15-13:15 |
HG G 43 |
|
|
| 21-23.05.2012 |
|
|
12:15-13:15 |
HG G 43 |
|
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