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DTSTART;TZID=America/Los_Angeles:20250204T121500
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SUMMARY:Quandle cohomology quiver representations (Sam Nelson\, CMC)
DESCRIPTION:Quandles are algebraic structures encoding the motion of knots through space. Quandle cocycle quivers categorify the quandle cocycle invariant. In this talk we will define a quiver representation associated to quandle cocycle quivers and use it to obtain new polynomial invariants of knots.
URL:https://colleges.claremont.edu/ccms/event/quandle-cohomology-quiver-representations-sam-nelson-cmc/
LOCATION:Estella 2113
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20250205T161500
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SUMMARY:CCMS Colloquium: (Hrushikesh Mhaskar\, Claremont Grad Uni.)
DESCRIPTION:Speaker: Hrushikesh Mhaskar\, Distinguished Research Professor of Mathematics\, Claremont Graduate University \nTitle: Local Analysis Of Global Data \nAbstract: For a periodic integrable function f\, the definition of Fourier coefficients requires the values of f on the entire period.\nWe refer to such data as “global” data. Even though the sequence of Fourier coefficients determines f uniquely\,\nthey do not reveal by themselves local features such as the locations of discontinuities of f (whose definition requires\nthe values of f locally near the point of discontinuity). We will describe our work for extracting such local features\nfrom global data. We will discuss some modern applications such as the separation of blind source signals\, and\nmachine learning problems\, classification and regression in particular. \nBio: Hrushikesh Mhaskar is a research professor of mathematics. He holds a PhD in mathematics\, MS in computer science\, and MS in mathematics from Ohio State University\, and an MSc in mathematics from Indian Institute of Technology\, Mumbai. \nMhaskar’s area of research is approximation theory and harmonic analysis. He has done pioneering work in the theory of weighted polynomial approximation on the real line\, making deep contributions in the areas of orthogonal polynomial expansions and applications of potential theory to the study of orthogonal polynomials\, now known as Freud polynomials. This work is recognized through such terms as Mhaskar-Rahmanov-Saff number and Mhaskar-Saff functional. Since 1990\, he has been interested in machine learning and signal processing\, making pioneering contributions to the theory of approximation capabilities (expressive power) of shallow and deep neural networks\, kernel-based methods\, and manifold learning. He has published two books\, five edited volumes\, and over 150 refereed papers. His research is supported currently by the National Science Foundation\, and previously by the U.S. Air Force\, U.S. Army\, and Office of the Director of National Intelligence (U.S.A.). \nMhaskar serves on the editorial boards of Applied and Computational Harmonic Analysis\, Journal of Approximation Theory\, Frontiers in Applied Mathematics and Statistics\, Jaen Journal of Approximation\, and Mathematical Foundations of Computing. Currently\, he has an affiliation with the University of California\, Santa Barbara. His honors include the Alexander v. Humboldt fellowship (5 times)\, John von Neumann distinguished professorship at Technical University in Munich in 2011\, and August-Wilhelm Scheer visiting professor at TUM (postponed due to the pandemic).
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-hrushikesh-mhaskar-claremont-grad-uni/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
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