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DTSTART;TZID=America/Los_Angeles:20181203T161500
DTEND;TZID=America/Los_Angeles:20181203T171500
DTSTAMP:20260422T151640
CREATED:20180921T215624Z
LAST-MODIFIED:20181106T161858Z
UID:560-1543853700-1543857300@colleges.claremont.edu
SUMMARY:A Martingale Approach to the Question of Fiscal Stimulus (Michael Imerman\, CGU)
DESCRIPTION:Joint work with Larry Shepp & Philip Ernst \nIn this paper we develop a mathematical model to address an ongoing politico-economic debate between Democrats and Republicans. Democrats in the US say that government spending can be used to “grease the wheels’ of the economy\, create wealth\, and increase employment; the Republicans say that government spending is wasteful\, discourages investment\, and so increases unemployment. These arguments cannot both be correct\, but both arguments seem meritorious. We address this economic question of fiscal stimulus as a new optimal control problem extending the model of Radner-Shepp (1996). A unique solution is found using traditional martingale methods for stochastic optimization along with a numerical procedure to solve a non-homogeneous ODE as the root of an implicit function. Specifically\, we find that there exists an optimal strategy with interesting mathematical properties.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-prof-michael-imerman-cgu/
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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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181204T121500
DTEND;TZID=America/Los_Angeles:20181204T131000
DTSTAMP:20260422T151640
CREATED:20180817T150812Z
LAST-MODIFIED:20181116T225428Z
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SUMMARY:Sperner's lemma: generalizations and applications (Oleg Musin\, UT Rio Grande Valley)
DESCRIPTION:The classical Sperner –  KKM (Knaster – Kuratowski – Mazurkiewicz) lemma has many applications  in combinatorics\, algorithms\, game theory and mathematical economics. In this talk we consider generalizations of this lemma as well as Gale’s colored KKM lemma and Shapley’s KKMS theorem. It is shown that spaces and covers can be much more general and the boundary KKM rules can be substituted by more weaker boundary assumptions. These generalizations of Sperner’s lemma rely on homotopy invariants of covers  that in fact are obstructions for extending a cover of a subspace A in X to a cover of  X.
URL:https://colleges.claremont.edu/ccms/event/tba-2/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181205T161500
DTEND;TZID=America/Los_Angeles:20181205T171500
DTSTAMP:20260422T151640
CREATED:20180928T171556Z
LAST-MODIFIED:20181129T192838Z
UID:853-1544026500-1544030100@colleges.claremont.edu
SUMMARY:The kissing number and related problems (Oleg Musin\, University of Texas Rio Grande Valley)
DESCRIPTION:Abstract: \nThe kissing number problem asks for the maximal number k(n) of equal size nonoverlapping spheres in n-dimensional space that can touch another sphere of the same size. This problem in dimension three was the subject of a famous discussion between Isaac Newton and David Gregory in 1694. In three dimensions the problem was finally solved only in 1953 by Schutte and van der Waerden. In this talk we are going to give an overview of this problem and to present our solution of a long-standing problem about the kissing number in four dimensions. We are also going to discuss Tammes’ problem and other optimal sphere packings problems.
URL:https://colleges.claremont.edu/ccms/event/oleg-musin-university-of-texas-rio-grande-valley/
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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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181208T100000
DTEND;TZID=America/Los_Angeles:20181208T120000
DTSTAMP:20260422T151640
CREATED:20181002T040036Z
LAST-MODIFIED:20181113T061215Z
UID:888-1544263200-1544270400@colleges.claremont.edu
SUMMARY:GEMS Workshop: Exploring the fascinating world of prime numbers\, Part II with Professor  Adolfo Rumbos\, from Pomona College.
DESCRIPTION:TOPIC: Exploring the fascinating world of prime numbers\, Part II \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 December 8\, please click on the following link: \nhttps://tinyurl.com/GEMS2018Fall3 \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-2/
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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