Noncommutative Geometry Seminar
Organizers:
Simone Cecchini,
Jinmin Wang,
Zhizhang Xie,
Guoliang Yu,
Bo Zhu
Please feel free to contact any one of us, if you would like to give a talk at our seminar.
|
Date Time |
Location | Speaker |
Title – click for abstract |
 |
01/25 2:00pm |
BLOC 302 |
Shiqi Liu Penn State |
Analysis of the hypoelliptic Laplacian
Invented by Jean-Michel Bismut, the hypoelliptic Laplacian is the centerpiece of a new type of index theory. It leads to a remarkable trace formula and reveals completely new insights into geometry and representation theory. However, the subject relies on analysis that is made difficult by the non-ellipticity of the hypoelliptic Laplacian operator. Recently, with techniques from noncommutative geometry, we have shown that the hypoelliptic Laplacian is actually elliptic under a new calculus. This will significantly reduce the complexity of the analysis.
This is joint work with N. Higson, E. MacDonald, F. Sukochev, and D. Zanin. |