Webrelaunch 2020

Internetseminar `Harmonic Analysis Techniques for Elliptic Operators' (Winter Semester 2023/24)

Lecture: Monday 11:30-13:00 20.30 Raum -1.008 Begin: 23.10.2023
Lecturer Prof. Dr. Dorothee Frey
Office hours: Tuesday, 10am - 11am, and by appointment
Room 2.042 Kollegiengebäude Mathematik (20.30)
Email: dorothee.frey@kit.edu
Lecturer apl. Prof. Dr. Peer Christian Kunstmann
Office hours: Thursday, 13 - 14 Uhr
Room 2.027 Kollegiengebäude Mathematik (20.30)
Email: peer.kunstmann@kit.edu
Lecturer Prof. Dr. Roland Schnaubelt
Office hours: Tuesday at 12:00 - 13:00, and by appointment.
Room 2-047 (Englerstr. 2) Kollegiengebäude Mathematik (20.30)
Email: schnaubelt@kit.edu
Lecturer Dr. Patrick Tolksdorf
Office hours:
Room 2.046 Kollegiengebäude Mathematik (20.30)
Email: patrick.tolksdorf@kit.edu

The internet seminar on evolution equations has been organized every year since 1997 by several working groups in Germany, Italy, Hungary and the Netherlands. It was founded by the functional analysis group in Tübingen. The participants are advanced master students and Ph.D students. From October to February the participants obtain weekly study material at a website. They are supervised by local coordinators at their university (in Karlsruhe: P.Kunstmann and R. Schnaubelt). From March to June they work in (internationally mixed) small groups on a project and report on it in June at the final workshop. This year's workshop takes place in Luminy from 17 to 21 June 2024.

This internet seminar is organised by Moritz Egert (Darmstadt), Robert Haller (Darmstadt), Sylvie Monniaux (Marseille), and Patrick Tolksdorf (Karlsruhe). It presents how properties of elliptic operators in divergence form can be revealed by modern techniques of harmonic analysis. While classical Fourier analysis is well suited to analyze the Laplacian, it turns out that the analysis of general elliptic operators requires some kind of Fourier anaylsis that is adapted to that operator. The developed techniques will finally be used to solve the famous Kato Square Root Problem. Basic knowledge in functional analysis and complex analysis as well as on the Fourier transform are needed.

For the registration please write an e-mail to isem27@mathematik.tu-darmstadt.de. Further information can be found on the website. In Karlsruhe we will discuss the weekly material in the lecture (or better: the reading course) Internetseminar für Evolutionsgleichungen.
You can find the history of this series of seminars on the internet seminar web site of the Workgroup Functional Analysis.