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X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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DTSTART;TZID=America/Los_Angeles:20220502T161500
DTEND;TZID=America/Los_Angeles:20220502T171500
DTSTAMP:20260418T161039
CREATED:20220422T161142Z
LAST-MODIFIED:20220422T161142Z
UID:2651-1651508100-1651511700@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Almut Burchard (U. Toronto)
DESCRIPTION:Title: What is the best shape? Geometric\nproblems arising in aggregation models \nAbstract: How do pair interactions shape the large-scale\nbehaviour of a cloud of particles (animals\,\nsocial agents …) ?  In the most basic\nmodels\, the shape of the cloud is determined\nby minimizing an attractive-repulsive interaction\nenergy under suitable geometric constraints. \nWhen can we expect aggregation to occur? what\nis the shape of the resulting flock?  I will\ndescribe recent work on optimal shapes in capacitor\nproblems  that occur as limiting cases. \n 
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-almut-burchard-u-toronto/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
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DTSTART;TZID=America/Los_Angeles:20220503T123000
DTEND;TZID=America/Los_Angeles:20220503T132000
DTSTAMP:20260418T161039
CREATED:20220128T185315Z
LAST-MODIFIED:20220418T040129Z
UID:2583-1651581000-1651584000@colleges.claremont.edu
SUMMARY:Beran’s tests of uniformity for discrete data (Michael Orrison\, HMC)
DESCRIPTION:Suppose you are given a data set that can be viewed as a nonnegative integer-valued function defined on a finite set. A natural question to ask is whether the data can be viewed as a sample from the uniform distribution on the set\, in which case you might want to apply some sort of test of uniformity to the data. In this talk\, I will share some work Anna Bargagliotti (Loyola Marymount University) and I have been doing to better understand a particular class of tests of uniformity first described in a 1968 paper written by R.J. Beran. Our approach uses tools from harmonic analysis on finite groups\, and in this talk I will introduce those tools and then show how they can easily be used when working with discrete circular data.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-michael-orrison-hmc/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20220503T150000
DTEND;TZID=America/Los_Angeles:20220503T160000
DTSTAMP:20260418T161039
CREATED:20230913T080534Z
LAST-MODIFIED:20230913T080534Z
UID:3232-1651590000-1651593600@colleges.claremont.edu
SUMMARY:On the Non-Orientable 4-Genus of Double Twist Knots\, Part II: Lower Bounds (Jim Hoste\, Pitzer College)
DESCRIPTION:The non-orientable 4-genus of a knot K is the smallest first Betti number of any non-orientable surface in the 4-ball spanning the knot. It is defined to be zero if the knot is slice. In joint work with Patrick Shanahan and Cornelia Van Cott\, we attempt to determine the value of this invariant for double twist knots. In an earlier talk at this seminar\, I presented methods of determining upper bounds by explicitly describing non-orientable spanning surfaces. In this talk I describe methods for establishing lower bounds using linking forms on 4-manifolds and a major result of Donaldson. These methods suffice to compute the non-oprientable 4-genus of several infinite families of double twist knots.
URL:https://colleges.claremont.edu/ccms/event/on-the-non-orientable-4-genus-of-double-twist-knots-part-ii-lower-bounds-jim-hoste-pitzer-college/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
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