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DTSTART;TZID=America/Los_Angeles:20231106T161500
DTEND;TZID=America/Los_Angeles:20231106T171500
DTSTAMP:20260607T134819
CREATED:20230912T155411Z
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SUMMARY:Applied Math Seminar: Claremont Colleges Course Previews for Spring 2024
DESCRIPTION:During this student-centered Applied Math Seminar\, there will be discussion and presentations about upcoming courses offered in applied mathematics\, to help students make their enrollment choices for Spring 2024 and beyond.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-claremont-colleges-course-previews-for-spring-2024/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
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DTSTART;TZID=America/Los_Angeles:20231107T121500
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SUMMARY:Frobenius coin-exchange generating functions (Matthias Beck\, San Francisco State University)
DESCRIPTION:We study variants of the Frobenius coin-exchange problem: Given n positive relatively prime parameters\, what is the largest integer that cannot be represented as a nonnegative integral linear combination of the given integers? This problem and its siblings can be understood through generating functions with 0/1 coefficients according to whether or not an integer is representable. In the 2-parameter case\, this generating function has an elegant closed form\, from which many corollaries follow\, including a formula for the Frobenius problem. We establish a similar closed form for the generating function indicating all integers with exactly k representations\, with similar wide-ranging corollaries. This is joint work with Leonardo Bardomero.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-matthias-beck-san-francisco-state-university/
LOCATION:Roberts North 102\, CMC
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20231107T150000
DTEND;TZID=America/Los_Angeles:20231107T160000
DTSTAMP:20260607T134819
CREATED:20230916T033519Z
LAST-MODIFIED:20231016T154054Z
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SUMMARY:Claremont Topology Seminar: Hyunki Min (UCLA)
DESCRIPTION:Title: Contact structures and the mapping class group of lens spaces \nAbstract: One important problem in contact topology is to classify contact structures on a given manifold. Around 20 years ago\, Giroux and Honda classified contact structures on lens spaces. A natural question to ask after that is how the transformations on lens spaces interact with the contact structures. In this talk\, we study contactomorphisms on lens spaces\, which are diffeomorphisms preserving the contact structure. We show that the contact mapping class group of a standard contact lens space is a subgroup of the mapping class group of the lens space.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-hyunki-min-ucla/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
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DTSTART;TZID=America/Los_Angeles:20231108T161500
DTEND;TZID=America/Los_Angeles:20231108T173000
DTSTAMP:20260607T134819
CREATED:20231020T213110Z
LAST-MODIFIED:20231020T213157Z
UID:3297-1699460100-1699464600@colleges.claremont.edu
SUMMARY:Lonely Runners and My Favorite Polyhedron (Matthias Beck\, San Francisco State University)
DESCRIPTION:Title: Lonely Runners and My Favorite Polyhedron \nSpeaker: Matthias Beck\, Department of Mathematics\, San Francisco State University \nAbstract: We study the Lonely Runner Conjecture\, conceived by Wills in the 1960’s\, and originally phrased in terms of Diophantine approximation: Given positive integers n_1\, n_2\, …\, n_k\, there exists a positive real number t such that for all 1 ≤ j ≤ k the distance of t n_j to the nearest integer is at least 1/(k+1). This conjecture can be recast in lay terms: if k runners with different (constant) speeds move around a circular track of length 1\, then for each runner there will be a time when they have distance at least 1/k to the others. This (in)famous conjecture in combinatorial number theory is open for k ≥ 7.We will give a brief history of the Lonely Runner Conjecture and some of its variants\, emphasizing a view-obstruction approach by Cusick and recent work by Henze and Malikiosis; our goal is to promote a polyhedral ansatz to the Lonely Runner Conjecture. Our results include affirmative instances that become (quite literally) visible through polyhedral geometry. \nBased on joint work with Serkan Hosten (SF State) and Matthias Schymura (Rostock). \n\n\n\n\n\nMatthias Beck is a professor of mathematics at San Francisco State University and has had visiting positions at SUNY Binghamton\, the Mathematical Sciences Research Institute in Berkeley\, the Max-Planck-Institute in Bonn\, Cornell University\, Vassar College\, and the Freie Universität in Berlin. Matt’s research is in combinatorics and number theory\, in particular\, counting integer points in polyhedra and the application of these enumeration functions to various mathematical topics and problems. He (co-)authored four books and numerous research papers\, many of which feature student coauthors. Matt was honored with the Mathematical Association of America’s Haimo Award for Distinguished College or University Teaching of Mathematics in 2013.x`
URL:https://colleges.claremont.edu/ccms/event/lonely-runners-and-my-favorite-polyhedron-matthias-beck-san-francisco-state-university/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
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