
Date Time 
Location  Speaker 
Title – click for abstract 

08/30 2:00pm 
BLOC 628 
Guihua Gong University of Puerto Rico 
Invariant and classification of inductive limit C*algebras with ideal property
After the recent sucessful classification of unital simple separable nuclear C*algebras of finite decomposition rank due to GongLinNiu and ElliottGongLinNiu, it is becomes important to seek possible generalization of the classification to non simple C*algebras. A C*algebras A is said to have ideal property if each ideal I of A is generated by the projections inside the ideal. The class of C*algebras with ideal property is a common generalization of the class of unital simple C*algebras and real rank zero C*algebras. In this talk, we will give a classificsation of AH algebras (of no dimension growth) with ideal property. In this classification, it invloves a new ingrent in the invariant: compatibility of Hausdorffized algebraic K_1 group. 

09/06 2:00pm 
BLOC 628 
Shilin Yu Texas A&M University 
Towards a geometric understanding of MackeyHigson bijection
Connes and Higson observed that the wellknown BaumConnesKasparov conjecture in operator algebra suggests a mysterious bijection between the tempered dual of a real reductive group and that of its Cartan motion group, which was already conjectured by Mackey in 1970's. In this talk, I will show that this bijection follows naturally from families of Dmodules on the flag variety. I will also discuss its relationship with Kirillov's coadjoint orbit method if time allows.


09/13 2:00pm 
BLOC 628 
Xiang Tang Washington University at St. Louis 
A longitudinal index theorem on an open foliation manifold
In this talk, we will introduce the concept of Roe C*algebra for a locally compact groupoid whose unit space is in general not compact, and that is equipped with an appropriate coarse structure and Haar system. Using Connes' tangent groupoid method, we will define an analytic index for an elliptic differential operator on a Lie groupoid equipped with additional metric structure, which takes values in the Ktheory of the Roe C*algebra. And we will discuss applications of our developments to longitudinal elliptic operators on an open foliated manifold. This is joint work with Rufus Willett and YiJun Yao. 

09/20 2:00pm 
BLOC 628 
Yi Wang Texas A&M University 
On the pessential normality of principal submodules of the Bergman module on strongly pseudoconvex domains
We show that under a mild condition, a principal submodule of the Bergman module on a strongly pseudoconvex domain, generated by a holomorphic function defined on a neighborhood of its closure, is p essentially normal for p>n. Two main ideas are involved in the proof. The first is that a holomorphic function defined in a neighborhood 'grows like a polynomial'. This is illustrated in a key inequality that we prove in our paper. The second is that commutators of Toeplitz operators behave much better than the operator themselves.


09/29 2:00pm 
*BLOC 220* 
Sherry Gong Massachusetts Institute of Technology 
Marked link invariants: Khovanov, instanton, and binary dihedral invariants for marked links
We introduce a version of Khovanov homology for alternating links with marking data, $\omega$, inspired by instanton theory. We show that the analogue of the spectral sequence from Khovanov homology to singular instanton homology (Kronheimer and Mrowka, \textit{Khovanov homology is an unknotdetector}) collapses on the $E_2$ page for alternating links. We moreover show that the Khovanov homology we introduce for alternating links does not depend on $\omega$; thus, the instanton homology also does not depend on $\omega$ for alternating links.
Finally, we study a version of binary dihedral representations for links with markings, and show that for links of nonzero determinant, this also does not depend on $\omega$.
(* Note the special time and room.) 

10/11 2:00pm 
BLOC 628 
Benben Liao Texas A&M University 
Noncommutative maximal inequalities for group actions
Let $G$ be a finitely generated group, and $M$ a semifinite von Neumann algebra on which $G$ acts. When the group $G$ has polynomial growth, we obtain strong type $(p,p),p>1,$ and weak type $(1,1)$ maximal inequalities for $G$ acting on $M$. The result extends the work of Yeadon and JungeXu for $G$ being the integer group. This is based on joint work with Guixiang Hong and Simeng Wang (https://arxiv.org/abs/1705.04851). 

11/08 2:00pm 
BLOC 628 
Rufus Willett University of Hawai'i 
TBA 