Analytic methods in Geometry: Quantum limits and H-infinity functional analysis.

24.01.2024, 14:00 - 16:00  –  Campus Golm, Building 9, Room 2.22 and via Zoom
Institutskolloquium

Véronique Fischer (Bath), Lashi Bandara (Deakin Uni, Melbourne)

14:00 Véronique Fischer (Bath): Sub-Riemannian quantum limits.
14:45 Tea and Coffee Break
15:15 Lashi Bandara (Deakin Uni, Melbourne): Functional calculus, garnished with a little geometry.

Abstracts:
Véronique Fischer (Bath): Sub-Riemannian quantum limits.
I will start with a short discussion on semi-classical analysis to introduce the concept of quantum limits. Then I will present an overview of subRiemannian geometry and the recent developments of spectral geometry in this context, especially regarding quantum limits.
Lashi Bandara (Deakin Uni, Melbourne): Functional calculus, garnished with a little geometry.
 Functional calculus, broadly speaking, is the ability to construct a function of a matrix or more generally, a linear operator. Starting with the Fourier series, I will present functional calculus, in particular the so-called "H infinity" functional calculus, motivated through geometric questions and applications. I will showcase a few problems which have been solved through this functional calculus and briefly touch on extensions motivated through interesting geometric questions.

Wenn Sie digital an den Vorträgen teilnehmen möchten, wenden Sie sich bitte an Lisa Franz lfranz@uni-potsdam.de, um die Zugangsdaten zu erhalten.