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DTSTART;TZID=America/Los_Angeles:20220919T150000
DTEND;TZID=America/Los_Angeles:20220919T160000
DTSTAMP:20260517T155657
CREATED:20220912T230200Z
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SUMMARY:History and Philosophy of Mathematics Seminar (organizational meeting and reading discussion)
DESCRIPTION:The first meeting of this semester’s seminar in the history and philosophy of mathematics will take place on Monday\, September 19th from 3 to 4 PM in Avery 202 on the Pitzer Campus (and on zoom). We will spend the time sharing ideas for future meetings and discussing the chapter on “Algebraic Logic” (chapter 9) in Lukas Verburgt’s new book on John Venn: A Life in Logic (a historical book on a philosophical mathematician). Here is the link to the library copy (https://ccl.on.worldcat.org/oclc/1294295070). \n 
URL:https://colleges.claremont.edu/ccms/event/history-and-philosophy-of-mathematics-seminar-organizational-meeting-and-reading-discussion/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:History and Philosophy of Mathematics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220919T161500
DTEND;TZID=America/Los_Angeles:20220919T171500
DTSTAMP:20260517T155657
CREATED:20220909T190042Z
LAST-MODIFIED:20220910T044707Z
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SUMMARY:Applied Math Seminar: Chiu-Yen Kao (CMC)
DESCRIPTION:Title: Computational Approaches to Optimization Problems in Inhomogeneous Rods and Plates \nAbstract: \nIn this talk\, we will show the experiments of the vibration of plates to generate Chladni’s figures and discuss computational approaches to optimization problems of inhomogeneous rods and plates. We consider both optimization of eigenvalues and localization of eigenfunctions. These problems are motivated by physical problems including the determination of extremum of fundamental vibration frequency and the localization of the vibration displacement. We demonstrate how an iterative rearrangement approach and a gradient descent approach with projection can successfully solve these optimization problems.\n\nThis is a joint work with Weitao Chen at University of California\, at Riverside and it is dedicated to our esteemed collaborator and friend: Ching-Shan Chou.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-chiu-yen-kao-cmc/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220920T121500
DTEND;TZID=America/Los_Angeles:20220920T131000
DTSTAMP:20260517T155657
CREATED:20220811T002022Z
LAST-MODIFIED:20220906T231455Z
UID:2780-1663676100-1663679400@colleges.claremont.edu
SUMMARY:Arithmetical structures (Luis Garcia Puente\, Colorado College)
DESCRIPTION:An arithmetical structure on a finite\, connected graph G without loops is given by an assignment of positive integers to the vertices such that\, at each vertex\, the integer there is a divisor of the sum of the integers at adjacent vertices\, counted with multiplicity if the graph is not simple. Alternatively\,  an arithmetical structure on G is a pair  of positive integer vectors (d\,r) such that  Mr = 0\, where M = diag(d) – A  is a square matrix whose diagonal entries are given by the vector d\, and whose off-diagonal elements are given by the negative adjacency matrix of G. Arithmetical structures were first introduced by Lorenzini in 1989; matrices of the form (diag(d) – A) arise in algebraic geometry as intersection matrices of degenerating curves.  However\, they also naturally appear in the context of algebraic graph theory as matrices of the form  (diag(d) – A)  generalize the Laplacian matrix of a graph.\n\nIn this talk\, I will give an introduction to the topic. We will discuss some combinatorial\, structural and computational aspects of arithmetical structures. In particular\, we will count the number of distinct arithmetical structures on certain graph families such as path\, cycle\, complete and bident graphs. For paths\, we will show that arithmetical structures are enumerated by the Catalan numbers. For cycles\, we prove that arithmetical structures are enumerated by the binomial coefficients C(2n-1\,n-1).  We will also discuss results about the associated critical group of an arithmetical structure\, i.e.\,  the cokernel of the matrix M.   This talk will be accessible to undergraduate students with some knowledge of linear algebra and discrete mathematics.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-luis-garcia-puente-colorado-college/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220921T161500
DTEND;TZID=America/Los_Angeles:20220921T173000
DTSTAMP:20260517T155657
CREATED:20220830T230918Z
LAST-MODIFIED:20220914T215709Z
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SUMMARY:An introduction to algebraic statistics (Prof. Luis David Garcia Puente)
DESCRIPTION:Title: An introduction to algebraic statistics\n\nSpeaker: Luis David Garcia Puente\, Department of Mathematics and Computer Science\, Colorado College\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nAbstract: Algebraic statistics is an interdisciplinary field that uses tools from computational algebra\, algebraic geometry\, and combinatorics to address problems in statistics and its applications. A guiding principle in this field is that many statistical models of interest are semialgebraic sets—a set of points defined by polynomial equalities and inequalities. Algebraic statistics is not only concerned with understanding the geometry and algebra of the underlying statistical model\, but also with applying this knowledge to improve the analysis of statistical procedures\, and to devise new methods for analyzing data.\nAlgebraic statistics is a broad field actively expanding from discrete statistical models\, contingency table analysis\, and experimental design to Gaussian models\, singular learning theory\, and applications to phylogenetics\, machine learning\, and biochemical reaction networks. In this talk\, I will introduce this field by discussing the foundational Diaconis-Sturmfels approach to contingency table analysis. This talk will be accessible to undergraduate students with some knowledge of linear algebra and basic statistics.\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n  \nLuis David García Puente is a Professor of Mathematics and Computer Science at Colorado College.  He grew up in Mexico City and received his B.S. from Universidad Nacional Autónoma de México and his Ph.D. from Virginia Tech\, both in Mathematics. After postdoctoral appointments at the Mathematical Sciences Research Institute and Texas A&M University\, he joined Sam Houston State University. Luis is a Fellow of the American Mathematical Society for contributions to applied algebraic geometry\, including algebraic statistics and geometric modeling\, and for broadening participation in the mathematical sciences. He is a member of the SIAM Activity Group on Algebraic Geometry\, the Latinxs and Hispanics in the Mathematical Sciences Community\, and the Society for Advancement of Chicanos/Hispanics and Native Americans in Science. In Summer 2023\, he will be a PRiME Undergraduate Research Director.
URL:https://colleges.claremont.edu/ccms/event/prof-luis-david-garcia-puente/
LOCATION:Humanities Auditorium\, Scripps College\, and Zoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.1035221214;-117.709766675
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220922T160000
DTEND;TZID=America/Los_Angeles:20220922T170000
DTSTAMP:20260517T155657
CREATED:20220918T041430Z
LAST-MODIFIED:20220918T041430Z
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SUMMARY:Frobenius-Rieffel norms on matrix algebras (Konrad Aguilar\, Pomona)
DESCRIPTION:Noncommutative metric geometry is the study of certain noncommuative algebras in the context of metric geometry. For instance\, the Lipschitz constant (which measures the maximum slope obtained by a real-valued continuous function on a metric space (allowed to be infinite)) is a vital tool in metric geometry\, and a main feature of noncommutative metric geometry is the introduction of a noncommutative notion of the Lipschitz constant\, called an L-seminorm\, due to M.A. Rieffel. The purpose of our work is to introduce suitable L-seminorms on matrix algebras. To accomplish this\, we used norms introduced by Rieffel on certain unital C*-algebras built from conditional expectations onto unital C*-subalgebras. We begin by showing that these norms generalize the Frobenius norm on matrix algebras\, and we provide explicit formulas for certain conditional expectations onto unital C*-subalgebras of finite-dimensional C*-algebras. This allows us to compare these norms to the unique C*-norm (the operator 2-norm)\, by finding explicit equivalence constants. (This is joint work with Stephan R. Garcia and Elena Kim (’21)\, arxiv: 2112.13164).
URL:https://colleges.claremont.edu/ccms/event/frobenius-rieffel-norms-on-matrix-algebras-konrad-aguilar-pomona/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
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