When Functional Calculus, Harmonic Analysis, and Geometry party together...

18.06.2021, 11:00  –  Online Seminar
Arbeitsgruppenseminar Analysis

Lashi Bandara (University of Potsdam)

Functional calculus emerged in the latter half of last century as a convenient tool particularly in the analysis of partial differential equations. In the last thirty years, harmonic analysis has entered the picture to interact with functional calculus in an extraordinarily fruitful way. More recently, geometry has crashed the scene, with an abundance of interesting and important problems, which can be effectively dealt with using the tools coming from functional calculus and harmonic analysis. Moreover, there are fascinating geometric interpretations associated with the latter tools, although these investigations are still in their infancy.

The goal of this talk will be to flesh out a brief narrative of the journey of functional calculus, how it came to interact with harmonic analysis, and the party they've been recently having together with geometry. It will culminate with state-of-the-art results, but the beginnings will be humble, starting with the Fourier series! For the majority of the talk, no background will be assumed beyond Hilbert spaces, self-adjoint operators, and the spectrum of an operator.

Forthcoming speakers are Florian Hanisch on June 25th, Bernadette Lessel on July 2nd, Ihsane Malass on July  9th, Diego López on July 16th, Larisa Jonke on July 23rd.
You are welcome to suggest speakers or topics for the forthcoming sessions.

You are welcome to invite your friends and colleagues to join us! If you wish to attend the talks,  please contact Sylvie Paycha paycha@math.uni-potsdam.de for the login details.