Talks co-hosted by the Applied Algebraic Topology Research Network (AATRN)

These talks were contributed and accepted for ATMCS 9 in 2020, but this is not going to be ATMCS itself (which has been cancelled or postponed).

If you want to attend these talks, then please become an AATRN member by clicking on the “members” tab at https://topology.ima.umn.edu/. We will send an email announcement to all AATRN members containing information for how to join the talk on Zoom.

Winter 2021

All times are Eastern time. Speakers are in bold. We will typically have two speakers per day, with each speaker giving a 20 minute talk.

Monday, January 11, 2021
11:00am, Takashi Owada, Gennady Samorodnitsky, and Gugan Thoppe, Limit Theorems for topological invariants of the dynamic multi-parameter simplicial complex [Video]
11:30am, Min-Chun Wu and Vladimir Itskov, A Topological Approach to Inferring the Intrinsic Dimension of Convex Sensing Data [Video]

Tuesday, January 12, 2021
11:00am, Woojin Kim, Facundo Mémoli, and Anastasios Stefanou, Interleaving by parts for persistence in a poset [Video]
11:30am, Hitesh Gakhar and Jose Perea, A theoretical analysis of quasiperiodicity using persistent Künneth formulae [Video]

Wednesday, January 13, 2021
11:00am, Tomoo Yokoyama, A generalizations of Morse graphs of flows and Reeb graph of surface Hamiltonian flows [Video]
11:30am, Nicola Quercioli, On the topological and geometrical properties of group equivariant non-expansive operators and their use in Deep Learning [Video]

Thursday, January 14, 2021
11:00am, Alex Elchesen and Peter Bubenik, Universality of Persistence Diagrams and the Bottleneck and Wasserstein Distances [Video]
11:30am, Anna Schenfisch, Brittany Terese Fasy, David Millman, Samuel Micka, and Lucia Williams, A Faithful Discretization of the Persistent Homology Transform [Video]

Friday, January 15, 2021
11:00am, Ling Zhou and Facundo Memoli, Persistent Homotopy Groups of Metric Spaces [Video]
11:30am, Nathanael Cox, Effective Algorithm For Computing Quotients of Semi-Algebraic Equivalence Relations [Video]

Saturday, January 16, 2021
11:00am, Zane Smith, Facundo Memoli, and Zhengchao Wan, Computing Gromov-Hausdorff distances between ultrametric spaces [Video]
11:30am, Luis Scoccola, Locally persistent categories and metric properties of interleaving distances [Video]

Summer 2020


Speakers are in bold. We will have two speakers per week, with each speaker giving a 20 minute talk.

Mon May 25
Théo Lacombe and Vincent Divol. Studying the Space of Persistence Diagrams using Optimal Partial Transport [Video1] [Video2]

Mon Jun 1
Jacob Leygonie, Steve Oudot, and Ulrike Tillmann. Differential Calculus on Persistence Barcodes [Video]
Alexander Rolle and Luis Scoccola. Stable and consistent density-based clustering [Video]

Mon Jun 8
Marek Filakovský, Uli Wagner, Stephan Zhechev, and Lukas Vokrinek. Embeddings and Tverberg-Type Problems: New Algorithms and Undecidability Results [Video]
Wojciech Chacholski, Alvin Jin, Martina Scolamiero, and Francesca Tombari. Homotopical decompositions of simplicial and Vietoris Rips complexes [Video]

Mon Jun 15
Woojin Kim and Facundo Memoli. Spatiotemporal persistent homology for dynamic metric spaces [Video]
Joshua Mike and Jose Perea. TALLEM: Topological Assembly of Locally Linear Euclidean Models [Video]

Mon Jun 22, 2pm Eastern Time
Nicolas Berkouk, Grégory Ginot, and Steve Oudot. Sheaves as computable and stable topological invariants for datasets [Video]
Nicolas Berkouk and François Petit. Ephemeral persistence modules and distance comparison [Video]

Mon Jun 29
Michael Kerber and Arnur Nigmetov. Efficient Approximation of the Matching Distance for 2-Parameter Persistence [Video]
Mickaël Buchet and Emerson G. Escolar. Every 1D Persistence Module is a Restriction of Some Indecomposable 2D Persistence Module [Video]

Mon Jul 6
Shu Kanazawa. A limit theorem for Betti numbers of homogeneous and spatially independent random simplicial complexes [Video]
Killian Meehan. Comparative Stability of Two Zigzag Bottleneck Distances [Video]

Mon Jul 13
Érika Roldán, Matthew Kahle, and Elliot Paquette. The fundamental group of 2-dimensional random cubical complexes [Video]
Luis Polanco and Jose Perea. Data driven torsion coordinates and Wasserstein stability [Video]

Mon Jul 20
Michał Lipiński, Jacek Kubica, Marian Mrozek, and Thomas Wanner. Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces [Video]
Elchanan Solomon, Clément Maria, and Steve Oudot. Intrinsic Topological Transforms via the Distance Kernel Embedding [Video]

Mon Jul 27
Hengrui Luo, Alice Patania, Jisu Kim, and Mikael Vejdemo-Johansson. Generalized Penalty for Circular Coordinate Representation [Video]
Ulrich Bauer and Abhishek Rathod. Hardness of Min-Morse matching for 2-complexes [Video]

Mon Aug 3
Siddharth Vishwanath, Kenji Fukumizu, Satoshi Kuriki, and Bharath Sriperumbudur. Statistical Invariance of Betti Numbers in the Thermodynamic Regime [Video]
Lewis Marsh, Heather Harrington, Emilie Dufresne, Sarah Filippi and Helen Byrne. Geometric and Topological Data Analysis of Enzyme Kinetics [Video]

Mon Aug 10
Alexander Wagner and Peter Bubenik. Nonembeddability of Persistence Diagrams into Hilbert Spaces [Video]
Sarah Tymochko, Elizabeth Munch, and Firas Khasawneh. Detecting Bifurcations in Dynamical Systems with Zigzag Persistent Homology [Video]

Mon Aug 17
Samir Chowdhury, Caleb Geniesse, and Manish Saggar. Exploring the landscape of brain dynamics at multiple scales during ongoing cognition [Video]
Hannah Schreiber, David Letscher, Erin Chambers, Tao Ju, and Dan Zeng. Topological Simplification of Voxelized Data [Video]