# Workshop on Geometric measure theory and Harmonic analysis

**Dates: **April 4 - 7, 2022**Venue:** HIM lecture hall, Poppelsdorfer Allee 45, Bonn

Due to COVID-19, participation must be coupled with proof that each participant is either fully COVID-19 vaccinated or cured from COVID-19 (so-called "2G"). This procedure corresponds to the current hygienic regulations. Participation can therefore only be allowed to registered participants, who will be informed about the corresponding on-site procedure in due time.

The workshop will be held as a hybrid event. The lectures given during the workshop will be recorded by default.

If you want to participate online, please fill the short registration link here.

Organizers: Marianna Csörnyei (Chicago), Tuomas Orponen (Jyväskylä), Xavier Tolsa (Barcelona), Tatiana Toro (Washington), Alexander Volberg (Michigan)

For further information, please see the schedule:

Click here for the schedule.

Click here for the abstracts.

# Video Recordings:

# Day 1

Svitlana Mayboroda: Green Function vs. Geometry

Carlos Pérez: Fractional Poincaré inequalities for doubling and non-doubling weights

Dóminique Kemp: Extending tangent surface decoupling: a model for higher dimensional zero curvature surfaces

Betsy Stovall: On extremizing sequences for adjoint Fourier restriction to the sphere

# Day 2

Pablo Shmerkin: Improved bounds for Furstenberg sets and orthogonal projections in R^2

Alexia Yavicoli: Thickness and a Gap Lemma in R^d

Zihui Zhao: Boundary unique continuation and the estimate of the singular set

# Day 3

Giovanni Alberti: Frobenius theorem for non-regular sets and currents

Olga Maleva: Differentiability of typical Lipschitz functions

David Bate: On 1-regular and 1-uniform metric measure spaces

Kornélia Héra: Fubini-type theorems for Hausdorff dimension and their connection to unions of lines

# Day 4

Joshua Zahl: Lens counting and restricted projections

Jonathan Hickman: On Littlewood-Paley theory for space curves

Alexander Volberg: The propability of Buffon needle to land near Cantor set. Quantitative Besicovitch theorem