Noncommutative Geometry Seminar
Organizers:
Zhizhang Xie,
Guoliang Yu,
Kun Wang,
Shilin Yu,
Benben Liao
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 

01/24 2:00pm 
BLOC 628 
Nigel Higson Pennsylvania State University 
[Colloquium] Asymptotic geometry and continuous spectrum
Early in his career, Hermann Weyl examined and solved the problem of decomposing a function on a halfline as a continuous combination of the eigenfunctions of a SturmLiouville operator with asymptotically constant coefficients. Weyl's theorem served as inspiration for HarishChandra in his pursuit of the Plancherel formula for semisimple groups, and for this and other reasons it continues to be of interest. I'll try to explain the (noncommutative) geometry behind Weyl's theorem and behind the extensions studied by HarishChandra. This is joint work with Tyrone Crisp and Qijun Tan. 

01/24 3:00pm 
BLOC 628 
Quanlei Fang City University of New York 
Multipliers of DruryArveson space
The DruryArveson Space, as a Hilbert function space, plays an important role in multivariable operator theory. In this talk we will discuss various properties of multipliers of the DruryArveson space.


02/14 2:00pm 
BLOC 628 
Zhizhang Xie Texas A&M University 
Khomology and sheaves
For smooth manifolds, typical examples of Khomology classes are given by elliptic differential operators. By definition, they are local or infinitesimal in the sense that their propagations are arbitrarily small. The concept of sheaves (again by definition) shares this fundamental property of being local. One naturally expects some close connections between these two important notions. In particular, making some of these connections precise allows us to prove interesting theorems in geometry and topology, such as GronthendieckRiemannRoch theorem for singular varieties. In this talk, I will try to explain some of these connections by discussing some interesting examples. The talk is based on ongoing joint work with N. Higson. 