|
Stanford University
Topology Seminar 2002-3 Unless otherwise noted, all seminars are
on Tuesdays 4:00 - 5:00 pm in Room 383-N (3rd floor lounge of Math Building, Bldg 380). |
|
Fall 2002 Schedule
October 1, 2002
Speaker: Constantin Teleman, Cambridge University
Title: Twisted K theory and the moduli of G-bundles over
a Riemann surface
Abstract: We
explain in this talk how the K-theoretic "intersection pairings" on
the moduli of G-bundles over compact Riemann surface are controlled by
defortmations of the Verlindealgebra, generalizing well-known results about
powers of the determinant bundle. The moral justification of this fact is based
on the theorem of Freed, Hopkins and the speaker, that the Verlinde algebra of
G is expressible as a twisted K-theory of G, equivariant for its own
conjugation action. The twistings in that theorem are multiples of the
determinanttwisting of BU; the use of higher twistings allows one to
incorporate other vector bundles on the moduli space.
October 8
Title:
Abstract
October 15, 2002
Title:
Abstract:
October 22, 2002
Speaker: Gunnar Carlsson, Stanford University
Title: Algebraic Topology and Feature
Detection
Abstract: We are interested in locating various kinds of
"features" of a geometric object, such as corners. edges, cone
points, etc., when we are given the geometric object via a sampled "point
cloud" from it. I will
describe various homological criteria which can be used as heuristics in
finding these features.