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DTSTART;TZID=America/Los_Angeles:20181029T161500
DTEND;TZID=America/Los_Angeles:20181029T171500
DTSTAMP:20260511T142909
CREATED:20180910T073543Z
LAST-MODIFIED:20181016T222630Z
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SUMMARY:Minimal Gaussian Partitions\, Clustering Hardness and Voting (Steven Heilman\, USC)
DESCRIPTION:A single soap bubble has a spherical shape since it minimizes its surface area subject to a fixed enclosed volume of air.  When two soap bubbles collide\, they form a “double-bubble” composed of three spherical caps.  The double-bubble minimizes total surface area among all sets enclosing two fixed volumes.  This was proven mathematically in a landmark result by Hutchings-Morgan-Ritore-Ros and Reichardt using the calculus of variations in the early 2000s.  The analogous case of three or more Euclidean sets is considered difficult if not impossible.  However\, if we replace Lebesgue measure in these problems with the Gaussian measure\, then recent work of myself (for 3 sets) and of Milman-Neeman (for any number of sets) can actually solve these problems.  We also use the calculus of variations.  We will discuss applications of this Gaussian “multi-bubble” problem to optimal clustering of data and to designing elections that are resilient to hacking.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-prof-steven-heilman/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
GEO:34.099908;-117.7142522
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DTSTART;TZID=America/Los_Angeles:20181030T121500
DTEND;TZID=America/Los_Angeles:20181030T131000
DTSTAMP:20260511T142909
CREATED:20180823T224159Z
LAST-MODIFIED:20181024T083012Z
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SUMMARY:Uniform asymptotic growth of symbolic powers  (Robert Walker\, University of Michigan)
DESCRIPTION:Algebraic geometry (AG) is a major generalization of linear algebra which is fairly influential in mathematics. Since the 1980’s with the development of computer algebra systems like Mathematica\, AG has been leveraged in areas of STEM as diverse as statistics\, robotic kinematics\, computer science/geometric modeling\, and mirror symmetry. Part one of my talk will be a brief introduction to AG\, to two notions of taking powers of ideals (regular vs symbolic) in Noetherian commutative rings\, and to the ideal containment problem that I study in my thesis. Part two of my talk will focus on stating the main results of my thesis in a user-ready form\, giving a “comical” example or two of how to use them. At the risk of sounding like Paul Rudd in Ant-Man\, I hope this talk with be awesome.
URL:https://colleges.claremont.edu/ccms/event/tba-4/
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:20181031T161500
DTEND;TZID=America/Los_Angeles:20181031T171500
DTSTAMP:20260511T142909
CREATED:20180928T171011Z
LAST-MODIFIED:20181025T210738Z
UID:845-1541002500-1541006100@colleges.claremont.edu
SUMMARY:Saving Bats from Fungal Diseases with Linear Algebra (Nina Fefferman\, U of Tennessee-Knoxville)
DESCRIPTION:Abstract: Bats in North America have been dying off due to the invasion of a fungal disease (White Nose Syndrome). In this talk\, I’ll present a very simple linear algebraic model to predict the magnitude of the die-offs. By comparing these models to some data about actual bat survival\, my collaborator and I also hypothesized that the disease might be causing rapid evolution in the bat populations and this could give some populations better hope of surviving. I’ll go through these models and show how the predictions they make are different from models that don’t include bat evolution. I’ll also talk a little about some of the intervention strategies that have been proposed to help bat populations survive\, and use these models to show how some of them might accidentally hurt rather than help\, if we don’t figure out whether the main impacts of disease are evolutionary or immunological first.
URL:https://colleges.claremont.edu/ccms/event/nina-fefferman-u-of-tennessee-knoxville/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
GEO:34.0999157;-117.7142668
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DTSTART;TZID=America/Los_Angeles:20181103T100000
DTEND;TZID=America/Los_Angeles:20181103T120000
DTSTAMP:20260511T142909
CREATED:20181002T034850Z
LAST-MODIFIED:20181020T192824Z
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SUMMARY:GEMS Workshop: Exploring the fascinating world of prime numbers\, Part I with Professor  Adolfo Rumbos\, from Pomona College.
DESCRIPTION:TOPIC: Exploring the fascinating world of prime numbers\, Part I \nThe study of patterns in the sequence of prime numbers has fascinated mathematicians for centuries.  Are there formulas that generate prime numbers?  Are there patterns in the distribution of prime numbers and the distribution of gaps between consecutive primes?  In this series of two workshops\, beginning with the proof of the infinitude of the primes and modular arithmetic\, we explore some facts about prime numbers\, solve some puzzles related to primes\, and survey a few of the questions that are still unsolved. \nWHAT IS GEMS: \nThe Gateway to Exploring Mathematics program (GEMS) is a series of workshops that helps excite the interests and curiosity of young students in mathematics and science \nGEMS meets once a month on a Saturday morning from 10:00 AM to 12:00 PM \nGEMS is designed to reach 8th\, 9th and 10th grade students who have an interest in mathematics and science \nParticipants interact with excellent and award winning faculty\, staff\, students and alumni from each of the seven Claremont Colleges \nFALL 2018 DATES: \nOctober 6\, 2018 \nNovember 3\, 2018 \nDecember 8\, 2018 \nREGISTRATION: \nTo register for our next event on November 3\, 2018 please click on the following link: \nhttps://tinyurl.com/GEMS2018Fall2 \nANY QUESTIONS: \nPlease contact our 2018-2019 GEMS coordinator\, Elsa Harris at Elsa.Harris@cgu.edu
URL:https://colleges.claremont.edu/ccms/event/gems-workshop-speaker-will-be-announced-soon/
LOCATION:Shanahan 1480\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
ORGANIZER;CN="Elsa Harris":MAILTO:elsa.harris@cgu.edu
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