AATRN Vietoris-Rips Seminar
About: An online seminar focusing on Vietoris-Rips complexes and related topics (broadly interpreted), such as new connections between applied and quantitative topology, Čech complexes, nerve lemmas, manifold reconstruction, metric thickenings, the tight span, the filling radius, Gromov-Hausdorff distances, optimal transport, homotopies of bounded size, geometric group theory, topological combinatorics, geometric topology, equivariant topology, polytopes, configuration spaces, minimal homology generators, computational topology, etc, and this is far from an exclusive list.
Organizers: Henry Adams and Facundo Mémoli
Logistics: In Spring and Summer 2021 we will be meeting approximately every-other Friday at 11am Eastern Time (UTC-5 or UTC-4, depending on daylight savings). Please join the Applied Algebraic Topology Research Network (AATRN) mailing list to receive email invitations to the Zoom talks. Recordings of most of the talks are posted to the AATRN YouTube Channel, in particular at this playlist.
Associated Workshop: You may interested in the associated Workshop on Bridging Applied and Quantitative Topology that will happen the week of May 9-13, 2022.
Ethics: "The correct attribution of mathematical results is essential, both because it encourages creativity, by benefiting the creator whose career may depend on the recognition of the work and because it informs the community of when, where, and sometimes how original ideas entered into the chain of mathematical thought." We ask that both attendees and also speakers of our seminar adhere to the Ethical Guidelines of the AMS, from where the previous sentence is quoted. See in particular Sections I and II. Results and ideas presented in this seminar should be treated in a similar way to papers posted online to the arXiv.
Videos can be cited (especially when no accompanying paper is currently available) via the following sample bibtex entry:
@misc{Barmak-VRtalk2021,
title = {Star clusters in clique complexes and the {V}ietoris--{R}ips complex of planar sets},
author = {Jonathan Barmak},
note = {AATRN Vietoris--Rips Online Seminar},
year = {2021},
howpublished = {\url{https://youtu.be/9ZGjyVBWUjg}},
}
Upcoming Talks, selected Fridays at 11am Eastern Standard Time (UTC-5)
2022, Friday January 21, Ling Zhou, Persistent homotopy groups of metric spaces
2022, Friday February 4, Don Sheehy, Persistent Homology of Lipschitz Extensions
2022, Friday February 18, Bradley Nelson, Parameterized Vietoris-Rips Filtrations via Covers
2022, Friday March 4, Ulrich Bauer, Gromov hyperbolicity, geodesic defect, and apparent pairs in Rips filtrations
2022, Friday March 18, Fedor Manin, Linear homotopies of maps to spheres
2022, Friday April 1, Stéphane Sabourau, Macroscopic scalar curvature and local collapsing
2022, Friday April 15, Hannah Alpert, Homology of sliding-squares configuration spaces
2022, Friday April 29, Barbara Giunti, Average complexity of barcode computation for Vietoris-Rips filtrations
2022, Week of May 9-13, Workshop on Bridging Applied and Quantitative Topology
2022, Friday May 27, Regina Rotman
2022, Friday June 10, Diego Mondéjar Ruiz
2022, Friday July 8, Simon Zhang
2022, Friday July 22, Krystyna Kuperberg, Shape Theory: Vietoris-Čech approach to homotopy
2022, Friday August 12, Alexander Rolle
2022, Friday August 19, Francisco Martinez Figueroa
2022, Friday September 16, Dmitri Burago
2022, Friday September 30, Lori Ziegelmeier
2023, Friday March 3, Emilie Purvine
Fall 2021
Friday September 10, Yevgeny Liokumovich, Urysohn width, isoperimetric inequalities and scalar curvature
Friday September 24, Sunhyuk Lim, The Gromov-Hausdorff distance between spheres
Friday October 29, Jürgen Jost, Geometry and Topology of Data
Friday November 5, Johnathan Bush, Maps of Čech and Vietoris–Rips complexes into euclidean spaces
Friday December 3, Luis Scoccola, Density-sensitive and robust Vietoris-Rips filtrations
Summer 2021
Friday June 4, Florian Frick, Rips complexes, projective codes, and zeros of odd maps
Friday June 18, Parvaneh Joharinad, Hyperconvex spaces and their associated Čech complexes
Friday July 2, Yusu Wang, Graph skeletonization of PCDs via topological methods
Wednesday July 14, Mikhail Katz, Collapsing surfaces
Friday August 13, Jonathan Barmak, Star clusters in clique complexes and the Vietoris-Rips complex of planar sets
Friday August 27, Francesca Tombari, Decomposing simplicial complexes (without losing pieces)
Spring 2021
Friday March 12, Henry Adams, Vietoris-Rips thickenings: Problems for birds and frogs
Friday March 26, Facundo Mémoli, Vietoris-Rips Persistent Homology, Injective Metric Spaces, and The Filling Radius
Friday, April 9, Baris Coskunuzer, Geometric Approaches on Persistent Homology
Friday April 23, Žiga Virk, A counter-example to Hausmann's conjecture
Friday May 7, Bei Wang, Homotopy Types of Vietoris–Rips Complexes of Metric Gluings
Friday May 21, Matthew Zaremsky, Vietoris-Rips complexes and geometric group theory