Mathematical Institute of the University of Bonn

RG Analysis and Partial Differential Equations

S4B1: Graduate Seminar on Analysis - Geometric Aspects of Harmonic Analysis

Winter Semester 2018/19

Dr. Pavel Zorin-Kranich

Instructor

Registration

Reminder: you will also have to register technically via BASIS.

Location

• Tue 12-14, N0.003

Prerequisites

It will be helpful to have attended the course "Real and harmonic analysis".

Topics

We will discuss Fourier restriction and related topics. General references are the books

• Wolff, "Lectures on Harmonic Analysis"
• Mattila, "Fourier analysis and Hausdorff dimension"

Schedule

• Oct 09 - Zorin-Kranich
• Oct 16 - Zorin-Kranich
• Oct 23 - no talk
• Oct 30 - Behn: Bushes and hairbrushes (Mattila section 23)
• Nov 06 - Pfeifer: Bilinear restriction (Mattila section 25)
• Nov 13 - no talk
• Nov 20 - Schremmer: Bilinear restriction (Mattila section 25)
• Nov 27 - Wehrhan: Bejenaru, The multilinear restriction estimate: a short proof and a refinement
• Dec 04 - Lee: Mockenhaupt, Seeger, Sogge, Wave front sets, local smoothing and Bourgain’s circular maximal theorem
• Dec 11 - no talk
• Dec 18 - no talk
• Jan 08 - no talk
• Jan 15 - no talk
• Jan 22 - Oberdörster: Demeter, l^2 decoupling for the parabola (ICM proceedings)
• Jan 29 - Ramos: Guth, A restriction estimate using polynomial partitioning