| Language |
English
|
| From |
2008/05/16 15:30
|
| To |
2008/05/16 17:00
|
| Place | Room 552, Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | Kansai Probability Theory Seminar |
| Title |
From probability theory to index theory |
| Field |
Geometry
|
| Speakers | J.-M. Bismut |
| Affiliation | Universite Paris-Sud |
| Abstract | In this lecture, I will explain the deep relations which exist between probability theory and Ito's calculus on one hand, and the index theorem on the other hand. I will illustrate this connection by the proof of the index theorem itself, in which measures on the loop space of a manifold should be properly interpreted as differential forms, and also by the construction of the hypoelliptic Laplacian, in which a functional analytic version of Ito's formula plays a key role. |
| Link | http://www-an.acs.i.kyoto-u.ac.jp/~hino/probability/seminar/index_j.html |
|