Damian Dąbrowski
Damian Dąbrowski
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Recent & Upcoming Talks
2024
Favard length problem for Ahlfors regular sets
Favard length of a set is the average length of its orthogonal projections. The Besicovitch projection theorem states the following: …
25 Jul 2024
University of Washington
Slides
Favard length problem for Ahlfors regular sets
Favard length of a set is the average length of its orthogonal projections. The Besicovitch projection theorem states the following: …
11 Jun 2024
Banff International Research Station
Needless buffoonery with Buffon's needle
This talk will be a gentle introduction to the classical Buffon’s needle problem, which can be stated as follows: can you measure …
10 Apr 2024
University of Jyväskylä
2023
The visibility problem for Ahlfors regular sets
The visibility conjecture states that if $E$ is a planar set with Hausdorff dimension greater than 1, then for almost every direction …
08 Dec 2023 10:30
University of Oulu
Slides
Quantifying Besicovitch projection theorem
Besicovitch projection theorem is one of the fundamental results of geometric measure theory, and it states that a set of finite length …
02 Oct 2023 13:30
Universitat Autònoma de Barcelona
Quantifying Besicovitch projection theorem
Besicovitch projection theorem is one of the fundamental results of geometric measure theory, and it states that a set of finite length …
04 Jul 2023 13:30
Aalborg University
Quantifying Besicovitch projection theorem
Besicovitch projection theorem is one of the fundamental results of geometric measure theory, and it states that a set of finite length …
14 Jun 2023 12:35
UPV/EHU (Bilbao)
Quantifying Besicovitch projection theorem
Besicovitch projection theorem is one of the fundamental results of geometric measure theory, and it states that a set of finite length …
06 Jun 2023 11:00
Oberwolfach
Slides
Quantifying Besicovitch projection theorem
Besicovitch projection theorem is one of the fundamental results of geometric measure theory, and it states that a set of finite length …
26 Jan 2023 16:00
University of Warwick
Slides
Vitushkin’s conjecture and sets with plenty of big projections
In this talk I will describe recent progress made on Vitushkin’s conjecture, an old problem lying at the intersection of geometric …
23 Jan 2023 14:00
University of Warwick
Slides
2022
From orthogonal projections to Furstenberg sets
Given $0<s<1$ and $0<t<2$, we say that a planar set $F$ is an $(s,t)$-Furstenberg set if there exists a $t$-dimensional …
06 Sep 2022 15:00
Porquerolles
Slides
Vitushkin’s conjecture and sets with plenty of big projections
In this talk I am going to describe recent progress made on Vitushkin’s conjecture: if $E$ has plenty of big projections, then …
06 Jun 2022 15:00
Centre de Recerca Matemàtica (Barcelona)
Slides
Vitushkin’s conjecture and sets with plenty of big projections
In this talk I am going to describe recent progress made on Vitushkin’s conjecture: if $E$ has plenty of big projections, then …
02 Jun 2022 12:00
UPV/EHU (Bilbao)
Vitushkin’s conjecture and sets with plenty of big projections
In this talk I am going to describe recent progress made on Vitushkin’s conjecture: if $E$ has plenty of big projections, then …
02 Feb 2022 15:30
Hausdorff Research Institute for Mathematics
Video
Vitushkin’s conjecture and sets with plenty of big projections
In this talk I am going to describe recent progress made on Vitushkin’s conjecture: if $E$ has plenty of big projections, then …
05 Jan 2022 10:30
Tampere University
2021
On measures with $L^2$ bounded Riesz transform: to AD regularity and beyond!
The measures which define an $L^2$ bounded $n$-dimensional Riesz transform have been intensely studied in the last 50 years. Especially …
28 Oct 2021 10:30
Aalto University
On measures with $L^2$ bounded Riesz transform: to AD regularity and beyond!
The measures which define an $L^2$ bounded $n$-dimensional Riesz transform have been intensely studied in the last 50 years. Especially …
20 Oct 2021 10:30
IMPAN (Warsaw)
Slides
Video
On measures with $L^2$ bounded Riesz transform: to AD regularity and beyond!
The measures which define an $L^2$ bounded $n$-dimensional Riesz transform have been intensely studied in the last 50 years. Especially …
03 May 2021 14:15
University of Jyväskylä
Slides
On measures, projections, and measures of projections
In this talk we will look at the following question: given a subset of the plane, what is the relation between the size of the set and …
24 Mar 2021 12:15
Universitat de Barcelona
Slides
2020
Cones, rectifiability, and SIOs
Let K(x, V, s) be the open cone centred at x, with direction V, and aperture s. It is easy to see that if a set E satisfies for some V …
15 Jun 2020 18:00
University of Minnesota
Slides
Video
Cones, rectifiability, and SIOs
Let K(x, V, s) be the open cone centred at x, with direction V, and aperture s. It is easy to see that if a set E satisfies for some V …
03 Apr 2020 13:00
University of Edinburgh
Slides
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