## Description

Back to topRecent years have seen an enormous growth in the applications of topology to other disciplines from the biological sciences to materials science, and from dynamical systems to cosmology and engineering. Many of these are factored through “topological data analysis” (TDA), but not all, with notable exceptions among those from dynamics and from engineering. All of these applications are due to topology’s capacity to define precise invariants from imprecise data: topological invariants (like the winding number of a curve around a point) are usually discrete and have some stability properties (here, to arbitrary perturbations that don’t move points as much as their distance to that point) that make them attractive.

However, topological stability is quite different from ordinary statistical stability. A single outlier can completely change the apparent topology of a space. One of the ways of dealing with this, persistence, has had numerous applications within pure math in recent years (in differential geometry, group theory, and approximation theory, to name three). The study of topology of random processes, and how the randomness perturbs topology is thus arising as an important scientific issue with potentially very wide significance. This workshop will bring together workers who have been dealing with this in different settings and in different ways, which should lead to progress in both application domains, and in a longer run, on the fundamental problems.

This workshop will include a poster session. In order to propose a poster, you must first register for the workshop, and then submit a poster proposal using the form that will become available on this page after you register. The registration form should not be used to propose a poster. The deadline for proposing a poster is March 3, 2023.

## Organizers

Back to top## Speakers

Back to top## Schedule

Back to top**Speaker: **Vanessa Robins (The Australian National University)

**Speaker: **Takashi Owada (Purdue University)

**Speaker: **Herbert Edelbrunner (ISTA – Institute of Science and Technology Austria)

**Speaker: **Konstantin Mishaikow (Rutgers University)

**Speaker: **Washington Mio (Florida State University)

**Speaker: **Bei Wang (University of Utah)

**Speaker: **Erin Wolf-Chambers (St. Louis University)

**Speaker: **Benjamin Schweinhart (George Mason University)

**Speaker: **Matthew Kahle (Ohio State University)

**Speaker: **Primoz Skraba (Queen Mary University of London and Jozef Stefan Institute, Slovenia)

**Speaker: **Omer Bobrowski (Technion – Israel Institute of Technology)

**Speaker: **Jonathan Taylor (Stanford University)

**Speaker: **Liz Munch (Michigan State University)

**Speaker: **Anthea Monod (Imperial College)

**Speaker: **Teresa Heiss (Institute of Science and Technology Austria (IST Austria))

**Speaker: **Facundo Mémoli (Ohio State University)

**Speaker: **Lorin Crawford (Microsoft Research)

**Speaker: **Daniel Perez (École normale supérieure – ENS)

**Speaker: **Fred Chazal (INRIA)

**Speaker: **Sarah Tymochko (University of California, Los Angeles (UCLA))

**Speaker: **Yusu Wang (University of California, San Diego (UCSD))

**Speaker: **Alex Strang (University of Chicago)

## Poster Session

Back to topThe posters that have been submitted for the poster session are available on the poster session page.

## Videos

Back to topThe correspondence of max-flow to the absolute permeability of porous systems

Vanessa Robins

March 20, 2023

Large deviation principle for geometric and topological functionals and associated point processes

Takashi Owada

March 20, 2023

Identifying Nonlinear Dynamics with High Confidence from Sparse Data

Konstantin Mishaikow

March 20, 2023

On Complexity of Computing Bottleneck and Lexicographic Optimal Cycles in a Homology Class

Erin Wolf-Chambers

March 21, 2023

Probabilistic Generative Frameworks for Sampling 3D Complex Shapes and Images

Lorin Crawford

March 23, 2023

Clustering of discrete measures via mean measure quantization: application to unsupervised vectorization of persistence diagrams

Fred Chazal

March 23, 2023