2025 CMS Winter Meeting
Toronto, Dec 5 - 8, 2025
Analytic–Geometric Synergies: Harmonic Analysis and Convexity
Org: Almaz Butaev (University of the Fraser Valley), Galia Dafni (Concordia University) and Serhii Myroshnychenko (University of the Fraser Valley)
[PDF]
Org: Almaz Butaev (University of the Fraser Valley), Galia Dafni (Concordia University) and Serhii Myroshnychenko (University of the Fraser Valley)
[PDF]
- ALMUT BURCHARD, University of Toronto
- BLAIR DAVEY, Montana State University
- DMITRY FAIFMAN, Université de Montréal
- FODOR FERENC, University of Szeged
- RYAN GIBARA, Cape Breton University
- PAUL HAGELSTEIN, Baylor University
Current developments in the theory of differentiation of integrals [PDF]
- BLAIR DAVEY, Montana State University
-
We will provide an overview of current developments in the theory of differentiation of integrals. Particular emphasis will be placed on a recent result, extending prior work of Bateman and Katz, that provides a condition on directional maximal operators on $\mathbb{R}^2$ sufficient to ensure that they are unbounded on $L^p(\mathbb{R}^2)$ for $1 \leq p < \infty$. This recent work is joint with Blanca Radillo-Murguia and Alex Stokolos.
- ALEX IOSEVICH, University of Rochester
- DMITRY JACOBSON, McGill
Extremal metrics on graphs [PDF]
- DMITRY JACOBSON, McGill
-
We review several old and new results about extremal metrics for various graph functionals.
- PAVLOS KALANTZOPOULOS, Waterloo University
- LIANGBING LUO, York University
- MARCU-ANTONE ORSONI, Université Laval
- ANDRIY PRYMAK, University of Manitoba
- SCOTT RODNEY, Cape Breton University
- YANA TEPLITSKAYA, Paris-Saclay University
About maximal distance minimizers. Regularity and explicit examples [PDF]
- LIANGBING LUO, York University
-
Consider a compact set $M \subset \mathbb{R}^d$ and $l>0$. A maximal distance minimizer problem is to find a connected compact set $\Sigma$ of the length (that is, one-dimensional Hausdorff measure $\mathcal{H}^1$) at most $l$ that minimizes
\[
\max_{y \in M} \text{dist}(y, \Sigma),
\]
where $dist$ stands for the Euclidean distance.
In this talk, I will survey known results on maximal distance minimizers, including explicit examples (such as a circle, a rectangle, and a minimizer with an infinite number of corner points), as well as the regularity of their local structure (a finite number of branching points in the plane and at most three tangent rays at any point of a minimizer in any dimension). I will also discuss several open problems in this area.
- DENIS VINOKUROV, Université de Montréal
- ELISABETH WERNER, Case Western Reserve University
- ELISABETH WERNER, Case Western Reserve University