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DTSTART;TZID=America/Los_Angeles:20230912T150000
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DTSTAMP:20260422T044852
CREATED:20230913T073733Z
LAST-MODIFIED:20231006T053002Z
UID:3222-1694530800-1694534400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Robert Bowden (HMC)
DESCRIPTION:Title: Chebyshev Threadings in Skein Algebras for Punctured Surfaces \nAbstract: Skein algebras are algebras of links in a surface quotiented by diagram-based equivalence relations based on the Kauffman bracket. In the case of surfaces with punctures\, the skein algebra is generated by links as well as arcs between the punctures\, and there are additional skein relations for the arcs. We examine the algebraic structure of the punctured case\, finding a description of the central elements at certain roots of unity. Our construction is closely related to the one for the usual skein algebra\, where central elements come from threading links by Chebyshev polynomials.
URL:https://colleges.claremont.edu/ccms/event/chebyshev-threadings-in-skein-algebras-for-punctured-surfaces-robert-bowden-hmc/
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:20230919T150000
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CREATED:20230915T191657Z
LAST-MODIFIED:20230918T204921Z
UID:3237-1695135600-1695139200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Reginald Anderson (CMC)
DESCRIPTION:Title: Cellular resolutions of the diagonal and exceptional collections for toric Deligne-Mumford stacks \nAbstract: Beilinson gave a resolution of the diagonal for complex projective space which yields a strong\, full exceptional collection of line bundles. Bayer-Popescu-Sturmfels generalized Beilinson’s result to a cellular resolution of the diagonal for what they called “unimodular” toric varieties (a more restrictive condition than being smooth)\, which can also be extended to smooth toric varieties and global quotient toric DM stacks of a smooth toric variety by a finite abelian group\, if we allow our resolution to have cokernel which is supported only along the vanishing of the irrelevant ideal. Here we show implications for exceptional collections of line bundles and a positive example for the modified King’s conjecture by giving a strong\, full exceptional collection of line bundles on a smooth\, non-unimodular nef-Fano complete toric surface.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-reginald-anderson-cmc/
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:20230926T150000
DTEND;TZID=America/Los_Angeles:20230926T160000
DTSTAMP:20260422T044852
CREATED:20230922T154321Z
LAST-MODIFIED:20230922T154321Z
UID:3251-1695740400-1695744000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Reginald Anderson (CMC)
DESCRIPTION:Title: Cellular resolutions of the diagonal and exceptional collections for toric Deligne-Mumford stacks (Continued) \nAbstract: Beilinson gave a resolution of the diagonal for complex projective space which yields a strong\, full exceptional collection of line bundles. Bayer-Popescu-Sturmfels generalized Beilinson’s result to a cellular resolution of the diagonal for what they called “unimodular” toric varieties (a more restrictive condition than being smooth)\, which can also be extended to smooth toric varieties and global quotient toric DM stacks of a smooth toric variety by a finite abelian group\, if we allow our resolution to have cokernel which is supported only along the vanishing of the irrelevant ideal. Here we show implications for exceptional collections of line bundles and a positive example for the modified King’s conjecture by giving a strong\, full exceptional collection of line bundles on a smooth\, non-unimodular nef-Fano complete toric surface.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-reginald-anderson-cmc-2/
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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