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