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Henry Adams (3/12/21): Vietoris-Rips thickenings: Problems for birds and frogs
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Classroom Contents
Vietoris-Rips Complexes and Applied Algebraic Topology Seminar
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- 1 Henry Adams (3/12/21): Vietoris-Rips thickenings: Problems for birds and frogs
- 2 Facundo Mémoli: Vietoris-Rips Persistent Homology, Injective Metric Spaces, and The Filling Radius
- 3 Baris Coskunuzer (4/14/21): Geometric Approaches on Persistent Homology
- 4 Žiga Virk (4/24/21): A counter-example to Hausmann's conjecture
- 5 Bei Wang (5/7/21): Homotopy Types of Vietoris–Rips Complexes of Metric Gluings
- 6 Matthew Zaremsky (5/21/21): Vietoris-Rips complexes and geometric group theory
- 7 Florian Frick (6/4/21): Rips complexes, projective codes, and zeros of odd maps
- 8 Mikhail Katz (7/14/20): Collapsing surfaces
- 9 Jonathan Barmak: Star clusters in clique complexes and the Vietoris-Rips complex of planar sets
- 10 Francesca Tombari (8/27/21): Decomposing simplicial complexes (without losing pieces)
- 11 Yevgeny Liokumovich (9/10/21): Urysohn width, isoperimetric inequalities and scalar curvature
- 12 Sunhyuk Lim (9/24/21): The Gromov-Hausdorff distance between spheres
- 13 Jürgen Jost (10/29/21): Geometry and Topology of Data
- 14 Johnathan Bush (11/5/21): Maps of Čech and Vietoris–Rips complexes into euclidean spaces
- 15 Luis Scoccola (12/5/21): Density-sensitive and robust Vietoris-Rips filtrations
- 16 Ling Zhou (1/21/22): Persistent homotopy groups of metric spaces
- 17 Don Sheehy (2/4/21): Persistent Homology of Lipschitz Extensions
- 18 Bradley Nelson (2/19/22): Parameterized Vietoris-Rips Filtrations via Covers
- 19 Ulrich Bauer (3/4/22): Gromov hyperbolicity, geodesic defect, and apparent pairs in Rips filtrations
- 20 Fedor Manin (3/19/22): Linear nullhomotopies of maps to spheres
- 21 Stéphane Sabourau (4/1/22): Macroscopic scalar curvature and local collapsing
- 22 Henry Adams (3/22/22): Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes
- 23 Hannah Alpert (4/15/22): Homology of sliding-squares configuration spaces
- 24 Barbara Giunti (4/29/21): Average complexity of barcode computation for Vietoris-Rips filtrations
- 25 Regina Rotman (5/28/22): Curvature bounds and the length of the shortest closed geodesic
- 26 Diego Mondéjar Ruiz (6/10/22): Approximation of compact metric spaces by finite samples
- 27 Krystyna Kuperberg (7/22/22): Shape Theory: Vietoris-Cech approach to homotopy
- 28 Alexander Rolle (8/12/22): Homology inference for the degree-Rips bifiltration
- 29 Francisco Martinez Figueroa (8/19/22): Chromatic number of G-Borsuk graphs
- 30 Dmitri Burago (9/16/22): A Mozaic from Geometry, Dynamics, PDEs, and maybe more
- 31 Lori Ziegelmeier: Minimal Cycle Representatives in Persistent Homology using Linear Programming
- 32 Abigail Hickok 11/11/22: Persistence Diagram Bundles: A multidimensional generalization of vineyards
- 33 Éric Colin de Verdière (12/9/22): Optimal topological simplification of surfaces
- 34 Sergio Zamora (1/20/23): The lower semi-continuity of \pi_1 and nilpotent structures in persistence
- 35 Urs Lang (2/3/23): Combinatorial dimension and higher-rank hyperbolicity
- 36 Irina Gelbukh 2023: The Reeb graph of a smooth function encodes the function class and manifold type
- 37 Emilie Purvine (3/3/23): Applied Topology for Discrete Structures
- 38 Nicolò Zava (3/17/23): Every stable invariant of finite metric spaces produces false positives
- 39 Samir Shukla (3/31/23): Vietoris-Rips complexes of hypercube graphs
- 40 Hubert Wagner (4/14/23): Topology of... surprisal: Information theory and Vietoris-Rips filtrations
- 41 Uzu Lim (5/26/23): Strange random topology of the circle
- 42 Alexey Balitskiy (6/9/23): Urysohn width
- 43 Melanie Weber (6/16/23): Exploiting geometric structure in matrix-valued optimization
- 44 Shin-ichi Ohta (6/23/23): Barycenters and a law of large numbers in Gromov hyperbolic spaces
- 45 Eugene Stepanov (7/7/23): Reconstructing hidden geometric structures in data from distance matrices
