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DTSTART;TZID=America/Los_Angeles:20250218T150000
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SUMMARY:Claremont Topology Seminar: Shane Rankin (University of California\, Riverside)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Shane Rankin (University of California\, Riverside) \nTitle: Symplectic Hodge Theory on Lie Algebroids \nAbstract: Symplectic Hodge Theory was developed in the late 80s to answer a conjecture of Brylinksi. Since then it has been used to understand the gap between Symplectic and Kahler structures. In this talk\, we’ll discuss the background and history of the subject\, and discuss recent generalizations to the Lie Algebroid setting.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-shane-rankin-university-of-california-riverside/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
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SUMMARY:Claremont Topology Seminar: Morgan Weiler (University of California\, Riverside)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Morgan Weiler (University of California\, Riverside) \nTitle: Anchored symplectic embeddings and 2-parameter persistence \nAbstract: Symplectic geometry is a generalization of classical mechanics\, in which position and momentum coordinates are paired. In two dimensions\, symplectic geometry is equivalent to volume-preserving geometry\, but in higher dimensions\, Gromov proved in volume inequality is not enough to guarantee embedding. In this talk\, we will explain an example for which requiring the complement of the embedding to contain a symplectic surface with fixed boundary conditions (the so-called “anchor”) provides an even stronger restriction than the symplectic form alone. The result is joint work with Michael Hutchings\, Agniva Roy\, and Yuan Yao; the method of proof that will be shown is ongoing work with Hutchings\, Roy\, and Yao and uses 2-parameter persistence modules\, a tool from topological data analysis which we will review.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-morgan-weiler-university-of-california-riverside/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
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