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DTSTART;TZID=America/Los_Angeles:20191111T161500
DTEND;TZID=America/Los_Angeles:20191111T171500
DTSTAMP:20260418T130209
CREATED:20191022T164250Z
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SUMMARY:Applied Math Talk: Stochastic similarity matrices and data clustering given by Prof. Denis Gaidashev (Uppsala University)
DESCRIPTION:Clustering in image analysis is a central technique that allows to classify elements of an image. We describe a simple clustering technique that uses the method of similarity matrices\, and an algorithm in which a collection of image elements is treated as a dynamical system. Efficient clustering in this framework   is achieved if the dynamical system admits a spectral gap. \nWe expand upon recent results in spectral analysis for Gaussian mixture distributions\, and in particular\, provide conditions for the existence of a spectral gap between the leading and remaining eigenvalues for matrices with entries from a Gaussian mixture with two real univariate components.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-denis-gaidashev-uppsala-university/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191112T121500
DTEND;TZID=America/Los_Angeles:20191112T131000
DTSTAMP:20260418T130209
CREATED:20191011T010916Z
LAST-MODIFIED:20191105T222544Z
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SUMMARY:Counting stuff with quantum Airy structures (Vincent Bouchard\, University of Alberta)
DESCRIPTION:Mathematicians like to count things. Often in very complicated and fancy ways. In this talk I will explain how we can use quantum Airy structures — an abstract formalism recently proposed by Kontsevich and Soibelman\, underlying the Eynard-Orantin topological recursion — to count various interesting geometric structures. Quantum Airy structures can be seen as a wide generalization of the famous Witten conjecture\, connecting enumerative geometry\, integrable systems\, representation theory and mathematical physics. It is a great example of “physical mathematics” in action\, with dualities in string theory and quantum field theory giving rise to fascinating\, unexpected results in pure mathematics.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-vincent-bouchard-university-of-alberta/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191112T143000
DTEND;TZID=America/Los_Angeles:20191112T160000
DTSTAMP:20260418T130209
CREATED:20191009T144155Z
LAST-MODIFIED:20191009T144710Z
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SUMMARY:Topology Triple-Header!
DESCRIPTION:This triple-header of topology talks will include three speakers: \nFirst\, Hyeran Cho from The Ohio State University will speak about Derivation of Schubert normal forms of 2-bridge knots from (1\,1)-diagrams. \nIn this talk\, we show that the dual (1\, 1)-diagram of a (1\, 1)-diagram (a.k.a. a two pointed genus one Heegaard diagram)\nD(a\, 0\, 1\, r) with 1 ≤ r < 2a + 1 and gcd(2a + 1\, r) = 1 is given by D(1/2r\, 0\, 2a+1-1/r\, 1/r) when 1/r is even and by D((2a+1−r)/2\, 0\, r −1\, r −1) otherwise\,  where 1/r is the multiplicative inverse of r modulo 2a + 1. We also present explicitly how to derive a Schubert normal form of a 2-bridge knot from the dual (1\, 1)-diagram of D(a\, 0\, 1\, r) using weakly K−reducibility of (1\, 1)-\ndecompositions. \nSecond\, Suhyeon Jeong from Pusan National University will speak about Psybrackets\, Singular Knots and Pseudoknots.: \nIn 2010\, a pseudodiagram was introduced by Ryo Hanaki. A pseudodiagram is a knot or link diagram where we ignore over/under information at some crossings of the diagram. This definition is motivated by applications in molecular biology such as modeling knotted DNA\, where data often comes inconclusive with respect to which crossing it represents. In 2012\, Allison Henrich\, Rebecca Hoberg\, Slavik Jablan\, Lee Johnson\, Elizabeth Minten\, and Ljiljana Radvić extended this idea to a pseudoknot and pseudolink. A pseudoknot (or pseudolink ) is an equivalence class of pseudodiagrams modulo pseudo-Reidemeister moves. In this talk\, we would like to introduce a psybracket consisting of two maps <\, \, > c \, <\, \, > p : X × X × X → X satisfying some axioms derived from pseudo-Reidemeister moves. By using this\, we define an invariant\, called the psybracket counting invariant\, of oriented singular knots and links and pseudolinks. This is a joint work with Jieon Kim and Sam Nelson. \nFinally\, Minju Seo from Pusan National University will speak about Quandle coloring quivers of surface-links.:  \nIn 2018\, K. Cho and S. Nelson introduced the quandle coloring quiver of an oriented knot or link diagram\, which is a quiver structure on the set of quandle colorings of a knot or link diagram. Also\, they gave a new invariant\, called the in-degree quandle quiver polynomial\, from the quiver structure. A surface-link is a closed 2-manifold smoothly embedded in R 4 or S 4 . A surface-link can be presented by a marked graph diagram with specific condition\, and a marked graph diagram is a generalization of a knot or link diagram. In this talk\, we introduce a quiver structure on the set of quandle colorings of a marked graph diagram\, and compute the in-degree quandle quiver polynomials of some marked graph diagrams. This is a joint work with J. Kim and S. Nelson.
URL:https://colleges.claremont.edu/ccms/event/topology-triple-header/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191113T161500
DTEND;TZID=America/Los_Angeles:20191113T171500
DTSTAMP:20260418T130209
CREATED:20190826T235610Z
LAST-MODIFIED:20191111T181131Z
UID:1402-1573661700-1573665300@colleges.claremont.edu
SUMMARY:Let's count points!
DESCRIPTION:A fascinating fact on mathematics is that there are many interesting connections between seemingly different mathematical disciplines. In this talk\, I will present a surprising formula counting integral points on polygons and sketch its proof. We will see a delightful interaction between algebra\, combinatorics\, and geometry. This talk aims primarily for undergraduate students. No prerequisite is assumed beyond calculus. 
URL:https://colleges.claremont.edu/ccms/event/tba-12/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu
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