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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; Keith, Kim; Cooper, Jenna
Created:: 2022-08-08
Contributed By:: University of Minnesota Libraries, Kautz Family YMCA Archives.
Last Updated:: 2025-01-07

Description:: If A is a finite-dimensional algebra with automorphism group G, then varieties of generating r-tuples of elements in A, considered up to G-action, produce a sequence of varieties B(r) approximating the classifying space BG. I will explain how this construction generalizes certain well-known examples such as Grassmannians and configuration spaces...
Creator:: Williams, Ben (University of British Columbia)
Created:: 2022-08-05
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Speculations

Description:: I would like to talk about the interaction of traditional algebraic topology and homotopy theory with applied topology, and specifically describe specifically some opportunities for better integration of "higher tech" techniques into applications.
Creator:: Carlsson, Gunnar (Stanford University)
Created:: 2022-08-05
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Description:: I will talk about equivariant homotopy theory and its role in the proof of the Segal conjecture and the Kervaire invariant one problem. Then, I will talk about chromatic homotopy theory and its role in studying the stable homotopy groups of spheres. These newly established techniques allow one to use equivariant machinery to attack chromatic com...
Creator:: Shi, XiaoLin (Danny) (University of Chicago)
Created:: 2022-08-04
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Gratitude

Description:: I will share some reminiscences of my many years working with Gunnar. The career that I have had would not have been possible without his kindness, wisdom, and generosity.
Creator:: de Silva, Vin (Pomona College)
Created:: 2022-08-04
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Description:: The Gromov-Hausdorff distance between two metric spaces is an important tool in geometry, but it is difficult to compute. For example, the Gromov-Hausdorff distance between unit spheres of different dimensions is unknown in nearly all cases. I will introduce recent work by Lim, Mémoli, and Smith that finds the exact Gromov-Hausdorff distances be...
Creator:: Adams, Henry (Colorado State University)
Created:: 2022-08-04
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Creator:: Kalisnik, Sara (ETH Zürich)
Created:: 2022-08-04
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Description:: Topological Azumaya algebras are topological shadows of more complicated algebraic Azumaya algebras defined over, for example, schemes. Tensor product is a well-defined operation on topological Azumaya algebras. Hence given a topological Azumaya algebra $\mathcal{A}$ of degree $mn$, where $m$ and $n$ are positive integers, it is a natural questi...
Creator:: Arcila-Maya, Niny (Duke University)
Created:: 2022-08-03
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Description:: Mathematics students learn a powerful technique for proving theorems about an arbitrary natural number: the principle of mathematical induction. This talk introduces a closely related proof technique called "path induction," which can be thought of as an expression of Leibniz's "indiscernibility of identicals": if x and y are identified, then th...
Creator:: Riehl, Emily (Johns Hopkins University)
Created:: 2022-08-03
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06

Description:: Persistent homology is a main tool in topological data analysis. So it is natural to ask how strong this quantifier is and how much information is lost. There are many ways to ask this question. Here we will concentrate on the case of level set filtrations on simplicial sets. Already the example of a triangle yields a rich structure with the Möb...
Creator:: Tillmann, Ulrike (University of Oxford)
Created:: 2022-08-03
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-09-06