Zoom Link: https://unm.zoom.us/j/93557022920

Meeting ID: 935 5702 2920

Passcode: 868713

Title: Noncommutative Taylor Remainders and the BMV Conjecture

Abstract: This talk begins with an introduction to noncommutative (nc) Taylor remainders for functions taking values in algebras of bounded operators. I will then present a fundamental trace formula expressing the trace of these remainders in terms of the spectral shift function (SSF), with particular attention to the question of its sign-definiteness. In the second part of the talk, I will discuss the BMV conjecture in both finite- and infinite-dimensional settings.

Bio: Chandan Pradhan is a Fulbright–Nehru Postdoctoral Fellow in the Department of Mathematics and Statistics at the University of New Mexico, where he works with Prof. Anna Skripka. He earned his Ph.D. from the Indian Institute of Technology Guwahati under the guidance of Prof. Arup Chattopadhyay. His research interests lie in the theory of multiple operator integrals and their applications to perturbation theory, particularly in the context of trace formulas.