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DTSTART:20070311T020000
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DTSTAMP:20260305T123833
DTSTART;TZID=America/Detroit:20260317T110000
DTEND;TZID=America/Detroit:20260317T130000
SUMMARY:Presentation:Invariants of Plabic Links
DESCRIPTION:Abstract: Plabic graphs were introduced by Postnikov in order to study a stratification of the totally nonnegative Grassmannian. To each plabic graph\, one can associate a quiver\, which is a directed graph that encodes a cluster algebra\, as well as a link. In this thesis\, we study invariants of these links\, called plabic links\, and their connections to the plabic graphs' quivers. \n\nWe focus primarily on forest quivers\, which are quivers whose underlying graphs are forests. We define the HOMFLY polynomial of a forest quiver and show that it agrees with the HOMFLY polynomial of any plabic link coming from a connected plabic graph whose quiver is that forest quiver. We define this polynomial recursively and also prove a closed formula for it. We will also comment on a way to extend the definition of part of this polynomial to some other acyclic quivers. Finally\, we discuss the Khovanov-Rozansky homology of certain plabic links associated to forest quivers and describe how to recursively compute it for a subset of these links.
UID:146129-21898423@events.umich.edu
URL:https://events.umich.edu/event/146129
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Dissertation,Graduate,Graduate Students,Mathematics
LOCATION:Off Campus Location - B860G
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20260113T103435
DTSTART;TZID=America/Detroit:20260317T110000
DTEND;TZID=America/Detroit:20260317T123000
SUMMARY:Workshop / Seminar:Social Theory Workshop
DESCRIPTION:- January 20: Jonathan Schoots\n- February 3: Jun Zhou\n- March 17: Kristina M. Fullerton Rico\n- April 7: Mary Shi
UID:143800-21894048@events.umich.edu
URL:https://events.umich.edu/event/143800
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Graduate Student
LOCATION:LSA Building - 4147
CONTACT:
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