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DTSTART;TZID=America/Los_Angeles:20191002T161500
DTEND;TZID=America/Los_Angeles:20191002T171500
DTSTAMP:20260602T202813
CREATED:20190826T234640Z
LAST-MODIFIED:20190928T054259Z
UID:1390-1570032900-1570036500@colleges.claremont.edu
SUMMARY:Freeways and Circle Packing
DESCRIPTION:The beauty of mathematics is often encountered when one discovers that two apparently very different phenomena actually share a common origin. I will discuss such a surprising connection between two apparently unrelated mathematical objects. One is purely combinatorial: the number of ways one can drive from USC to the Claremont Colleges. The other one is geometric: the Ford circle packing\, a pretty configuration of circles in the plane with interesting number theoretic properties.
URL:https://colleges.claremont.edu/ccms/event/tba-6/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191009T161500
DTEND;TZID=America/Los_Angeles:20191009T171500
DTSTAMP:20260602T202813
CREATED:20190826T234829Z
LAST-MODIFIED:20191004T182414Z
UID:1392-1570637700-1570641300@colleges.claremont.edu
SUMMARY:Formal geometry and characteristic classes
DESCRIPTION:I plan to explain how a purely algebraic technique involving Lie Algebra Cohomology can be used to construct standard characteristic classes of vector bundles and foliations (in fact\, it could be tweaked to give most characteristic classes in differential and complex geometry).
URL:https://colleges.claremont.edu/ccms/event/tba-7/
LOCATION:CA
CATEGORIES:Colloquium
ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu
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DTSTART;TZID=America/Los_Angeles:20191016T161500
DTEND;TZID=America/Los_Angeles:20191016T171500
DTSTAMP:20260602T202813
CREATED:20190826T234917Z
LAST-MODIFIED:20191007T175651Z
UID:1394-1571242500-1571246100@colleges.claremont.edu
SUMMARY:Habitat-driven extinctions: insights from spatially implicit ODE models 
DESCRIPTION:Speaker:  Kate Meyer\, Cornell University\n\n\n\n\n\n\n\n\n\nAbstract: Biodiversity underpins ecosystem functioning but continues to decline on a global scale. Among human activities driving this trend\, habitat destruction is a leading culprit in local and global extinctions. Simple mathematical models can address important questions surrounding habitat-driven extinctions—for example\, which species are at highest risk\, how delayed might extinction be\, and what can be done about it? Exploring these questions in a spatially implicit ODE model leads us to new mathematical territory involving temporary parameter changes and nonequilibrium dynamics.\n\n\n\nHost: Jasper Weinburd (jweinburd@hmc.edu)
URL:https://colleges.claremont.edu/ccms/event/tba-8/
LOCATION:CA
CATEGORIES:Colloquium
ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191023T161500
DTEND;TZID=America/Los_Angeles:20191023T171500
DTSTAMP:20260602T202813
CREATED:20190826T235239Z
LAST-MODIFIED:20191018T182721Z
UID:1396-1571847300-1571850900@colleges.claremont.edu
SUMMARY:Magnitude meets persistence. What happens after?
DESCRIPTION:The magnitude is an isometric invariant of metric spaces that\nwas introduced by Tom Leinster in 2010\, and is currently the object of\nintense research\, as it has been shown to encode many invariants of a\nmetric space such as volume\, dimension\, and capacity. When studying a\nmetric space in topological data analysis using persistent homology\, one\napproximates the space through a nested sequence of simplicial complexes\nso as to recover topological information about the space by studying the\nhomology of this sequence. In this talk I will give an introduction to\nmagnitude as well as persistent homology\, and explain how magnitude\nhomology is related to persistent homology.
URL:https://colleges.claremont.edu/ccms/event/tba-9/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu
GEO:34.0999157;-117.7142668
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191030T161500
DTEND;TZID=America/Los_Angeles:20191030T171500
DTSTAMP:20260602T202813
CREATED:20190826T235343Z
LAST-MODIFIED:20191025T235302Z
UID:1398-1572452100-1572455700@colleges.claremont.edu
SUMMARY:Calculus\, Real Fewnomials\, and P vs NP
DESCRIPTION:We review a beautiful 17th century result by the philosopher Rene Descartes: a univariate real polynomial with t monomial terms has no more than t-1 positive roots. We then see how one can prove a generalization that counts roots of two bivariate polynomials (with few monomial terms)\, using nothing more than basic calculus. In other words\, we’ll see the basics of real fewnomial theory. We’ll then see how this relates to circuit complexity and the famous P vs. NP Problem. In particular\, we’ll see how new bounds in real fewnomial theory lead to new separations of complexity classes that answer deep questions in theoretical computer science. Along the way\, we’ll see some of the ideas behind tropical geometry.
URL:https://colleges.claremont.edu/ccms/event/tba-10/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu
GEO:34.0999157;-117.7142668
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