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DTSTART;TZID=America/Los_Angeles:20241104T161500
DTEND;TZID=America/Los_Angeles:20241104T171500
DTSTAMP:20260613T222840
CREATED:20240924T161055Z
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SUMMARY:Applied Math Seminar: Course Preview
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-course-preview/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241105T121500
DTEND;TZID=America/Los_Angeles:20241105T131000
DTSTAMP:20260613T222840
CREATED:20240912T211317Z
LAST-MODIFIED:20241025T000409Z
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SUMMARY:Noether-Lefschetz theory and class groups (John Brevik\, Cal State Long Beach)
DESCRIPTION:The classical Noether-Lefschetz Theorem states that a suitably general algebraic surface S of degree d ≥ 4 in complex projective 3-space P3 contains no curves besides complete intersections\, that is\, curves of the form S ∩ T where T is another surface. After discussing briefly Noether’s non-proof of this theorem and hinting at the idea behind Lefschetz’s proof\, I will sketch some of our recent progress in generalizing this theorem and its implications for global and local divisor class groups. We explore the question of what class groups are possible for local rings on surfaces in a particular analytic isomorphism class and show the ubiquitousness of unique factorization domains among such rings. Joint work with Scott Nollet (Texas Christian University).
URL:https://colleges.claremont.edu/ccms/event/antc-talk-john-brevik-cal-state-long-beach/
LOCATION:Estella 2113
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20241105T150000
DTEND;TZID=America/Los_Angeles:20241105T160000
DTSTAMP:20260613T222840
CREATED:20240928T045017Z
LAST-MODIFIED:20241025T175032Z
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SUMMARY:Claremont Topology Seminar: Vijay Higgins (UCLA)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Vijay Higgins (UCLA) \nTitle: Webs and skein algebras \nAbstract: The Jones polynomial of a link can be computed diagrammatically by using skein relations\, which encode the representation theory of SL(2). By considering the vector space spanned by links drawn on a surface and imposing these skein relations\, we obtain an algebra known as the Kauffman bracket skein algebra of the surface. These algebras have been studied by many authors\, including F. Bonahon and H. Wong\, and much is known about their structure. Replacing SL(2) by SL(3) or any other higher rank Lie group gives rise to a new skein algebra involving not only links but also certain graphs called webs. In this talk\, we will discuss some of the complications involved with studying skein algebras built from webs on surfaces and then present ways of getting around them. Some of this work is joint with F. Bonahon.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-vijay-higgins-ucla/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
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DTSTART;TZID=America/Los_Angeles:20241106T160000
DTEND;TZID=America/Los_Angeles:20241106T173000
DTSTAMP:20260613T222840
CREATED:20241108T223540Z
LAST-MODIFIED:20241108T224503Z
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SUMMARY:CCMS Colloquium: Dynamical Systems and the Period 3 Implies Chaos Theorem (Michelle Manes\, AIM)
DESCRIPTION:Speaker: Michelle Manes\, AIM \nTitle: Dynamical Systems and the Period 3 Implies Chaos Theorem \nAbstract: Sharkovskii’s theorem\, sometimes called “period 3 implies chaos\,” concerns a one-dimensional real dynamical system: a function from the real line to itself that you iterate and study the orbits of points. This theorem is fascinating because of its very simple hypotheses\, its surprisingly strong conclusion\, and its clever and elementary proof that uses not much more than the intermediate value theorem and some careful bookkeeping. Like Sharkovskii’s theorem\, my mathematics research lives in the world of iterated dynamical systems\, and I’ll end by telling you a bit about some interesting number theoretic questions one can ask (and sometimes answer) in this context. \nBio: Michelle Manes received her AB in mathematics from UC Berkeley\, an MEd in Deaf Education from Boston University\, and an ScM and PhD in mathematics from Brown University. She was a professor in the mathematics department at the University of Hawaii for 15 years before leaving to join the American Institute of Mathematics (in Pasadena) as Deputy Director. She has also worked as a program officer at the National Science Foundation. She has taught mathematics at every level from 3rd grade through graduate school and has co-authored textbooks for middle grades mathematics\, high school geometry\, linear algebra\, and preservice elementary teachers. \nDr. Manes does research in number theory\, primarily in the field of arithmetic dynamics. She has authored over 30 articles\, most of them in collaboration with some of her best friends. She believes deeply in collaboration\, mentoring\, and professional service. She has served on committees for the Association for Women in Mathematics (AWM)\, the Mathematical Association of America (MAA)\, and the American Mathematical Society (AMS). She currently serves as the Associate Secretary for the Western Section of the AMS and as an editor-in-chief for La Matematica\, the flagship journal of the AWM. She has received numerous accolades including the Regents Medal for Excellence in Teaching at the University of Hawaii and the Haimo Award for Distinguished College or University Teaching of Mathematics from the MAA Golden Section and an AWM Service Award. She has been named a Fellow of the AWM and of the AMS.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-dynamical-systems-and-the-period-3-implies-chaos-theorem-michelle-manes-aim/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
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