V5B2 - Fourier restriction, and applications. Summer term 2026 - Mathematical Institute of the University of Bonn - Mathematisches Institut der Universität Bonn

V5B2 - Fourier restriction, and applications

Summer term 2026

Dr. Robert Schippa

Organisational details

Overview

The course will provide an introduction to Fourier restriction, and applications. The topics include stationary phase estimates, Strichartz estimates, applications to nonlinear dispersive equations, bilinear Fourier restriction, and applications.

Prerequisites: Basic Bachelor level courses in Analysis: measure and integration theory, and basic functional analysis. Familarity with the Fourier transform will be very helpful.

Homework: There will be no homework assignment for this special lecture.

Course text: There are lecture notes available, pertaining many further references.

Examination

Oral exams (30 minutes) will take place on 27th July and 28th July, 2026 (first examination period) and on 5th and 6th October, 2026 (second examination period).