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DTSTART;TZID=America/Los_Angeles:20190304T161500
DTEND;TZID=America/Los_Angeles:20190304T171500
DTSTAMP:20260408T105932
CREATED:20190114T165544Z
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SUMMARY:Applied Math Seminar: Fluid mechanics at the microscale (Prof. Amy Buchmann\, University of San Diego)
DESCRIPTION:I will present mathematical and computational methods used to model interactions between a viscous fluid and elastic structures in biological processes. For example\, microfluidic devices carry very small volumes of liquid through channels and may be used to gain insight into many biological applications including drug delivery and development\, but mixing and pumping at this scale is difficult. Experimental work suggests that the flagella of bacteria may be used as motors in microfluidic devices\, and mathematical modeling can be used to further investigate this idea. Cilia self-organize forming a metachronal wave that propels the surrounding fluid. How this organization occurs is not well understood. Mathematical models can be used to study the role of hydrodynamic interactions in self-organization.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-prof-amy-buchmann-ucsd/
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:20190305T121500
DTEND;TZID=America/Los_Angeles:20190305T131000
DTSTAMP:20260408T105932
CREATED:20190123T071437Z
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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:20190306T161500
DTEND;TZID=America/Los_Angeles:20190306T171500
DTSTAMP:20260408T105932
CREATED:20190213T181914Z
LAST-MODIFIED:20190213T181914Z
UID:1203-1551888900-1551892500@colleges.claremont.edu
SUMMARY:Accidental Mathematics (Matt Stamps\, Yale-NUs College)
DESCRIPTION:Abstract:  Growing up\, I always loved learning about world-changing scientific breakthroughs that were discovered by accident.  Penicillin\, artificial sweeteners\, X-rays\, and synthetic dyes are just a few of the discoveries that were stumbled upon by scientists who had other goals in mind.  More recently\, I have come to wonder why anecdotes about accidental discoveries in mathematics are not as commonplace.  Is it a fundamental difference in they way mathematicians and natural scientists view their work?  Are such stories too contrary to the popular perception that success in mathematics is reserved for the genius of a select few?  Whatever the reason\, I argue that mathematics happens accidentally all the time.  In this talk\, I will describe two accidental discoveries from my own work involving Penrose tilings\, circle packings\, chordal graphs\, lecture hall partitions\, lattice polytopes\, and polynomial rings.
URL:https://colleges.claremont.edu/ccms/event/accidental-mathematics-matt-stamps-yale-nus-college/
LOCATION:Shanahan B460\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
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DTSTART;TZID=America/Los_Angeles:20190307T120000
DTEND;TZID=America/Los_Angeles:20190307T133000
DTSTAMP:20260408T105932
CREATED:20190205T180911Z
LAST-MODIFIED:20190205T180911Z
UID:1194-1551960000-1551965400@colleges.claremont.edu
SUMMARY:Non-existence of epimorphisms between certain genus two handlebody-knot groups (Ryo Nikkuni\, Tokyo Woman's Christian University)
DESCRIPTION:For two genus $g$ handlebody-knots $H_{1}$ and $H_{2}$\, we denote $H_{1} \geq H_{2}$ if there exists an epimorphism from the fundamental group of the handlebody-knot complement of $H_{1}$ onto the one of $H_{2}$. In the case of $g = 1$\, this order is a partial order on the set of prime knots and has been determined up to $11$ crossings by Kitano-Suzuki and Horie-Kitano-Matsumoto-Suzuki. In this talk\, we consider the case of $g = 2$ and exhibit a lot of ordered pairs of irreducible genus $2$ handlebody-knots in the Ishii-Kishimoto-Moriuchi-Suzuki table up to $6$ crossings\, each of which does not admit this order. This is a joint work with Y. Ozawa and M. Suzuki.
URL:https://colleges.claremont.edu/ccms/event/non-existence-of-epimorphisms-between-certain-genus-two-handlebody-knot-groups-ryo-nikkuni-tokyo-womans-christian-university/
LOCATION:CA
CATEGORIES:Topology Seminar
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