Schedule and topics covered during Fall 2022
The topics that we have covered during Fall 2022 include sections of papers on Stein's method for minimal spanning trees, curvature for graphs from the theory of Markov semigroups, matrix concentration using exchangeable pairs, basics of classical and quantum information theory and their applications in proving iso-perimetry and matrix concentration, an introduction to free probability theory.
Plans for future : Spring 2023
We hope that we will have this group running at least until the end of next spring 2023. In the future, we have plans to cover some more aspects of non commutative information theory and importance of convexity in quantum information leading up to some work of Elliott Lieb, some aspects of Free Probability and its connections to high dimensional random matrices, mean field spin glasses and certain works of Talagrand, etc. We have (tentatively) lined up a couple of talks from postdocs at Institute of Advanced Studies in the spring. One on spin glasses & the technique of stochastic localization and some algorithmic aspects, and the other one on Brownian motions on compact Lie groups, some joint tracial moment calculations and its connections to free probability. Hopefully we will have some introductory talks on Gaussian free fields, Liouville Quantum gravity in the spring as well.
We are extremely excited and hope to see many of you to be actively taking part in this reading seminar.
Schedule for Fall 2023 (waiting for updates!)