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 

09/13 2:00pm 
BLOC 302 
Shiqi Liu TAMU 
Introduction to the hypoelliptic Laplacian and Bismut’s formula
Invented by JeanMichel Bismut, the hypoelliptic Laplacian is the centerpiece of a new type of index theory. It provides a remarkable trace formula (Bismut’s formula). In the circle case, it is an application of Poission summation formula. In the compact Lie group case, it becomes Frenkel’s formula. In the symmetric space case, it provides an explicit calculation of Selberg trace formula. In this talk, I will give an overview of the hypoelliptic Laplacian, and briefly explain the analytical proof of Bismut’s formula. Recently, using noncommutative geometry, we developed a series of new techniques in analysis to reduce the difficulty of the proof. This is joint work with N. Higson, E. MacDonald, F. Sukochev, and D. Zanin. 

09/20 2:00pm 
BLOC 302 
Shiqi Liu TAMU 
Introduction to the hypoelliptic Laplacian and Bismut’s formula.
Invented by JeanMichel Bismut, the hypoelliptic Laplacian is the centerpiece of a new type of index theory. It provides a remarkable trace formula (Bismut’s formula). In the circle case, it is an application of Possion summation formula. In the compact Lie group case, it becomes Frenkel’s formula. In the symmetric space case, it provides an explicit calculation of Selberg trace formula. In this talk, I will give an overview of the hypoelliptic Laplacian, and briefly explain the analytical proof of Bismut’s formula. Recently, using noncommutative geometry, we developed a series of new techniques in analysis to reduce the difficulty of the proof. This is joint work with N. Higson, E. MacDonald, F. Sukochev, and D. Zanin. 