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DTSTART;TZID=America/Los_Angeles:20250401T150000
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DTSTAMP:20260516T032104
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SUMMARY:Claremont Topology Seminar: Scott Taylor (Colby College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Scott Taylor (Colby College) \nTitle: Genus 1 Bridge Number of Satellite Knots in Lens Spaces \nAbstract: In the mid-1950s\, Horst Schubert introduced two ideas which turned out to have lasting impact in knot theory: satellite knots and bridge number. A Satellite knot is a knot which is tied in the shape of another knot (its companion). Wrapping number is one way of measuring how complicated the satellite knot is with respect to its companion. Bridge number is an invariant for knots and links in the 3-sphere. Schubert showed that the bridge number of a satellite knot is at least the wrapping number times the bridge number of the companion. I’ll give an overview of recent joint work with Maggy Tomova where we extend Schubert’s result to knots in lens spaces.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-scott-taylor-colby-college/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250415T150000
DTEND;TZID=America/Los_Angeles:20250415T160000
DTSTAMP:20260516T032104
CREATED:20250303T182159Z
LAST-MODIFIED:20250413T171750Z
UID:3719-1744729200-1744732800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Sierra Knavel (Georgia Tech)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Sierra Knavel (Georgia Tech) \nTitle: Betti Numbers and Indecomposability of Genus-2 Lefschetz Fibrations \nAbstract: Symplectic 4-manifolds\, smooth 4-manifolds equipped with a closed\, nondegenerate 2-form\, arise naturally in classical mechanics and have become central objects of study in topology. Following foundational work by Donaldson and Gompf\, Lefschetz pencils have been shown to correspond bijectively with symplectic 4-manifolds\, making symplectic 4-manifolds a tractable family of smooth 4-manifolds to work with. This talk focuses on genus-2 Lefschetz fibrations obtained by blowing up Lefschetz pencils and presents new bounds on their first Betti number. We will also examine a particularly elusive class of non-simply connected\, indecomposable genus-2 fibrations and consider the prospects of extending these results to higher genera.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-sierra-knavel-georgia-tech/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250422T150000
DTEND;TZID=America/Los_Angeles:20250422T160000
DTSTAMP:20260516T032104
CREATED:20250303T212722Z
LAST-MODIFIED:20250303T212722Z
UID:3724-1745334000-1745337600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Sam Nelson (Claremont McKenna College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Sam Nelson (Claremont McKenna College) \nTitle: Virtual Biquandle Cocycle Quiver Representations \nAbstract: We construct a quiver representation valued invariant of virtual knots and links using virtual biquandle homology.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-sam-nelson-claremont-mckenna-college/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250429T150000
DTEND;TZID=America/Los_Angeles:20250429T160000
DTSTAMP:20260516T032104
CREATED:20250303T212829Z
LAST-MODIFIED:20250428T212953Z
UID:3725-1745938800-1745942400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: David Bachman (Pitzer College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: David Bachman (Pitzer College) \nTitle: Learning optimal knot projections \nAbstract: We use techniques from Reinforcement Learning to find knot projections which minimize crossing number.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-david-bachman-pitzer-college/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
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