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Description:: Cohomological ideas have recently been injected into persistent homology and have for example been used for accelerating the calculation of persistence diagrams by softwares, such as Ripser. The cup product operation which is available at cohomology level gives rise to a graded ring structure that extends the usual vector space structure and is ...
Creator:: Zhou, Ling (The Ohio State University)
Created:: 2022-08-02
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Creator:: Giusti, Chad (University of Delaware)
Created:: 2022-08-02
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Description:: I'll discuss a method for approximating the super-level set persistent homology of a Gaussian kernel density estimator for a point cloud data set, which is related to the witness complex. Instead of selecting elements of the data set, the witnesses are generated using quadratic programming, and the shifted Voronoi diagram (aka the power diagram)...
Creator:: Carlsson, Erik (University of California, Davis)
Created:: 2022-08-02
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Description:: The Milnor–Moore theorem identifies a large class of Hopf algebras as enveloping algebras of the Lie algebras of their primitives. If we broaden our definition of a Hopf algebra to that of a braided Hopf algebra, much of this structure theory falls apart. The most obvious reason is that the primitives in a braided Hopf algebra no longer form a L...
Creator:: Westerland, Craig (University of Minnesota, Twin Cities)
Created:: 2022-08-01
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Description:: Configuration spaces of disks in a region of the plane vary according to the radius of the disks, and their topological invariants such as homology also vary. Realizing a given homology class means coordinating the motion of several disks, and if there is not enough space for the disks to move, the homology class vanishes. We explore how cluster...
Creator:: Alpert, Hannah (Auburn University)
Created:: 2022-08-01
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Description:: We develop a theory of limits for sequences of dense abstract simplicial complexes, where a sequence is considered convergent if its homomorphism densities converge. The limiting objects are represented by stacks of measurable [0,1]-valued functions on unit cubes of increasing dimension, each corresponding to a dimension of the abstract simplici...
Creator:: Segarra, Santiago (Rice University)
Created:: 2022-08-01
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Description:: This is an episode of the Causenetic podcast, created by staff members of the YMCA of Metropolitan Dallas from 2019 to 2023. The podcast focused on promoting awareness of the YMCA’s mission to new audiences and providing conversation, inspiration, and influence on various timely community topics. The description that accompanied this Causenetic ...
Creator:: Ross, Rodrigua; Vinson, Keith
Contributor:: Leonard, La Shae; Frederick, David; YMCA of Metropolitan Dallas; Nelson, Kelsey
Created:: 2022-08-01
Contributed By:: University of Minnesota Libraries, Kautz Family YMCA Archives.
Last Updated:: 2025-01-07

Description:: To understand the function of neurons, as well as other types of cells in the brain, it is essential to analyze their shape. Perhaps unsurprisingly, topology provides us with tools ideally suited to performing such an analysis. In this talk I will present a selection of the results of a long-standing collaboration with Lida Kanari of the Blue Br...
Creator:: Kathryn Hess-Bellwald, Kathryn (École Polytechnique Fédérale de Lausanne (EPFL))
Created:: 2022-08-01
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Description:: This is an episode of the Causenetic podcast, created by staff members of the YMCA of Metropolitan Dallas from 2019 to 2023. The podcast focused on promoting awareness of the YMCA’s mission to new audiences and providing conversation, inspiration, and influence on various timely community topics. The description that accompanied this Causenetic ...
Creator:: Ross, Rodrigua; Vinson, Keith
Contributor:: Leonard, La Shae; Frederick, David; YMCA of Metropolitan Dallas; Brown, Brianna
Created:: 2022-07-22
Contributed By:: University of Minnesota Libraries, Kautz Family YMCA Archives.
Last Updated:: 2025-01-07

Description:: This is an episode of the Causenetic podcast, created by staff members of the YMCA of Metropolitan Dallas from 2019 to 2023. The podcast focused on promoting awareness of the YMCA’s mission to new audiences and providing conversation, inspiration, and influence on various timely community topics. The description that accompanied this Causenetic ...
Creator:: Ross, Rodrigua; Vinson, Keith
Contributor:: Leonard, La Shae; Frederick, David; YMCA of Metropolitan Dallas; Rojas, Cici
Created:: 2022-07-22
Contributed By:: University of Minnesota Libraries, Kautz Family YMCA Archives.
Last Updated:: 2025-01-07