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DTSTART;TZID=America/Los_Angeles:20200309T161500
DTEND;TZID=America/Los_Angeles:20200309T171500
DTSTAMP:20260511T193859
CREATED:20191205T210642Z
LAST-MODIFIED:20200306T231655Z
UID:1684-1583770500-1583774100@colleges.claremont.edu
SUMMARY:(Cancelled!!) Applied Math Talk: Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems given by Prof. Paul Carter (University of Minnesota)
DESCRIPTION:In water-limited regions\, competition for water resources results in the formation of vegetation patterns; on sloped terrain\, one finds that the vegetation typically aligns in stripes or arcs. The dynamics of these patterns can be modeled by reaction-diffusion PDEs describing the interplay of vegetation and water resources\, where sloped terrain is modeled through advection terms representing the downhill flow of water. We focus on one such model in the ‘large-advection’ limit\, and we prove the existence of traveling planar stripe patterns using analytical and geometric techniques. We also discuss implications for the stability of the resulting patterns\, as well as the appearance of curved stripe solutions.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-paul-carter-university-of-minnesota/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
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DTSTART;TZID=America/Los_Angeles:20200310T121500
DTEND;TZID=America/Los_Angeles:20200310T131000
DTSTAMP:20260511T193859
CREATED:20200203T200943Z
LAST-MODIFIED:20200305T021333Z
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SUMMARY:Finding bases of new infinite dimensional representations of $\mathfrak{osp}(1|2n)$ ( Dwight Williams\, UT Arlington)
DESCRIPTION:The orthosymplectic Lie superalgebra $\mathfrak{osp}(1|2n)$ is rich in representation theory: while the finite dimensional $\mathfrak{osp}(1|2n)$-module category is semisimple\, the study of infinite dimensional representations of $\mathfrak{osp}(1|2n)$ is wide open. In this talk\, we will define the orthosymplectic Lie superalgebras\, realize $\mathfrak{osp}(1|2n)$ as differential operators on complex polynomials\, and describe the space of polynomials in commuting and anti-commuting variables as a representation space for $\mathfrak{osp}(1|2n)$. Moreover\, we will present operators—and perhaps generalized versions of these operators—which help give explicit bases for certain infinite dimensional $\mathfrak{osp}(1|2n)$-modules.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-by-dwight-williams-ut-arlington/
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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DTSTART;TZID=America/Los_Angeles:20200311T161500
DTEND;TZID=America/Los_Angeles:20200311T171500
DTSTAMP:20260511T193859
CREATED:20190830T194437Z
LAST-MODIFIED:20200309T185328Z
UID:1445-1583943300-1583946900@colleges.claremont.edu
SUMMARY:Edray Goins: Indiana Pols Forced to Eat Humble Pi\, The Curious History of an Irrational Number
DESCRIPTION:In 1897\, Indiana physician Edwin J. Goodwin believed he had discovered a way to square the circle\, and proposed a bill to Indiana Representative Taylor I. Record which would secure Indiana’s the claim to fame for his discovery. About the time the debate about the bill concluded\, Purdue University professor Clarence A. Waldo serendipitously came across the claimed discovery\, and pointed out its mathematical impossibility to the lawmakers. It had only be shown just 15 years before\, by the German mathematician Ferdinand von Lindemann\, that it was impossible to square the circle because π is an irrational number. This fodder became ignominiously known as the “Indiana Pi Bill” as Goodwin’s result would force $\pi = 3.2$. \nIn this talk\, we review this humorous history of the irrationality of $\pi$. We introduce a method to compute its digits\, present Lindemann’s proof of its irrationality (following a simplification by Miklo ́s Laczkovich)\, discuss the relationship with the Hermite-Lindemann-Weierstrass theorem\, and explain how Edwin J. Goodwin came to his erroneous conclusion in the first place.
URL:https://colleges.claremont.edu/ccms/event/tba-18/
LOCATION:Freeberg Forum\, LC 62\, Kravis Center\, CMC
CATEGORIES:Colloquium
ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu
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