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Description:: In order to incorporate ideas from algebraic topology in concrete contexts such as topological data analysis and topological lattice field theories, one needs effective constructions of concepts defined only abstractly or axiomatically. In this talk, I will discuss such constructions for certain invariants derived from the cup product on the coh...
Creator:: Medina-Mardones, Anibal (Max Planck Institute for Mathematics)
Created:: 2022-08-02
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

Description:: Clustering algorithms based on mean shift or spectral methods on graphs are ubiquitous in data analysis. However, in practice, these two types of algorithms are treated as conceptually disjoint: mean shift clusters based on the density of a dataset, while spectral methods allow for clustering based on geometry. In joint work with Nicolás ...
Creator:: Craig, Katy (University of California, Santa Barbara)
Created:: 2022-02-15
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-04-22

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:: F1: dorsal view of one old faded adult butterfly with wings spread out; F2: a life sized individual on an Echinacea flower
Creator:: McFarland, Terry
Created:: 2022-06-25
Contributed By:: University of Minnesota Libraries, Andersen Horticultural Library.
Last Updated:: 2022-08-15

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

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:: Modern learning algorithms such as deep neural networks operate in regimes that defy the traditional statistical learning theory. Neural networks architectures often contain more parameters than training samples. Despite their huge complexity, the generalization error achieved on real data is small. In this talk, we aim to study the generalizati...
Creator:: Seroussi, Inbar (Weizmann Institute of Science)
Created:: 2022-04-12
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-04-22

Description:: Many diseases are complex heterogeneous conditions that affect multiple organs in the body and depend on the interplay between several factors that include molecular and environmental factors, thus requiring a holistic approach in understanding the complexity and heterogeneity. In this talk, I will present some of our current statistical and ma...
Creator:: Safo, Sandra (University of Minnesota, Twin Cities)
Created:: 2022-02-22
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-04-22

Description:: In the context of numerical linear algebra algorithms, where it is natural to sacrifice accuracy in return for quicker computation of solutions whose errors are only slightly larger than optimal, the time-accuracy tradeoff of randomized sketching has been well-characterized. Algorithms such as Blendenpik and LSRN have shown that carefully design...
Creator:: Gittens, Alex (Rensselaer Polytechnic Institute)
Created:: 2022-01-25
Contributed By:: University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:: 2022-04-22