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DTSTART;TZID=America/Los_Angeles:20190305T121500
DTEND;TZID=America/Los_Angeles:20190305T131000
DTSTAMP:20260412T144251
CREATED:20190123T071437Z
LAST-MODIFIED:20190227T165818Z
UID:1143-1551788100-1551791400@colleges.claremont.edu
SUMMARY:Nonvanishing minors and uncertainty principles for Fourier analysis over  finite fields (Daniel Katz\, CSUN)
DESCRIPTION:Chebotarev’s theorem on roots of unity says that every minor of a discrete Fourier transform matrix of prime order is nonzero. We present a generalization of this result that includes analogues for discrete cosine and discrete sine transform matrices as special cases.  This leads to a generalization of the Biro-Meshulam-Tao uncertainty principle to functions with symmetries that arise from certain group actions\, with some of the simplest examples being even and odd functions.  This new uncertainty principle gives a bound that is sharp and\, for some classes of functions\, stronger than that of Biro-Meshulam-Tao.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-daniel-katz-csun/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20190312T121500
DTEND;TZID=America/Los_Angeles:20190312T131000
DTSTAMP:20260412T144251
CREATED:20181221T200102Z
LAST-MODIFIED:20181221T232930Z
UID:991-1552392900-1552396200@colleges.claremont.edu
SUMMARY:Indiana Pols Forced to Eat Humble Pi: The Curious History of an Irrational Number (Edray Goins\, Pomona)
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 $\pi$ is an irrational number.  This fodder became ignominiously known as the “Indiana Pi Bill” as Goodwin’s result would force $\pi = 3.2$.\n\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 Miklos 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/antc-talk-edray-goins-pomona/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20190326T121500
DTEND;TZID=America/Los_Angeles:20190326T131000
DTSTAMP:20260412T144251
CREATED:20190224T030836Z
LAST-MODIFIED:20190304T190113Z
UID:1236-1553602500-1553605800@colleges.claremont.edu
SUMMARY:Refinements of metrics (Wai Yan Pong\, CSUDH)
DESCRIPTION:I will talk about a few graph-theoretic metrics then introduce the concept of refinements on a class of functions that include all metrics. As a case study\, we will construct various refinements on the shortest-path distance. Consequently\, we obtain a few “better” versions of the Erdos number. In the course of our investigation\, we realized various construction of metrics can be unified under a rather natural concept that we called monotonic monoid norm. This is a joint work with Kayla Lock and Alex Wittmond.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-wai-yan-pong-csudh/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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