AIS - Operator Theory (2019)
Venue: IIT Kanpur, Kanpur
Dates: 16 Dec 2019 to 28 Dec 2019
|Name:||Prof. Satyajit Guin||Prof. Sameer Chavan|
Department of Mathematics and Statistics
Indian Institute of Technology, Kanpur
Kanpur 208016, Uttar Pradesh, India
|Email:||sguin at iitk.ac.in||chavan at iitk.ac.in|
Please Note: Participants have to arrange for their own travel.
In this program, we plan to touch upon various classical as well as modern aspects of operator theory. In particular, we focus on topics from function theory, graph theory, spectral theory, representation theory and Quantum groups etc.
The topics are listed as follows:
Positive definiteness, Interpolation problem, operator-theoretic invariants associated with directed graphs, Hilbert space operators in quantum mechanics, representation theory for compact groups, Quantum groups
The treatment of these topics will be self-contained and only the basic knowledge in complex analysis and function analysis will be assumed. In the tutorial session, emphasis will be given on problem solving. The audience will be introduced to some future research directions in operator theory.