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DTSTART;TZID=America/Los_Angeles:20250311T150000
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SUMMARY:Claremont Topology Seminar: Iris Yoon (Wesleyan University)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Iris Yoon (Wesleyan University) \nTitle: Dowker duality\, profunctors\, and spectral sequences \nAbstract: I will present three short\, new proofs of Dowker duality using various poset fiber lemmas. I will introduce modifications of joins and products of simplicial complexes called relational join and relational product complexes. These relational complexes can be constructed whenever there is a relation between simplicial complexes\, which includes the context of Dowker duality and covers of simplicial complexes. In this more general setting\, I will show that the homologies of the simplicial complexes and the relational complexes fit together in a long exact sequence. If time permits\, I’ll discuss similar results for profunctors\, which are generalizations of relations to categories.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-iris-yoon-wesleyan-university/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
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