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SUMMARY:Harder-Narasimhan filtrations for quiver representations from the 
 point of view of TDA - Ulrike Tillmann (Isaac Newton Institute)
DTSTART:20240620T083000Z
DTEND:20240620T093000Z
UID:TALK217393@talks.cam.ac.uk
DESCRIPTION:The Harder-Narasimhan type of a quiver representation is a dis
 crete invariant parameterised by a real-valued function (called a central 
 charge) defined on the vertices of the quiver. We investigate the strength
  and limitations of Harder-Narasimhan types for several families of quiver
  representations which arise in the study of persistence modules. In parti
 cular\, we introduce the skyscraper invariant\, which amalgamates the HN t
 ypes along central charges supported at single vertices\, and generalise t
 he&nbsp\;rank invariant and generalised&nbsp\;rank invariant studied for m
 ultiparameter persistence modules to arbitrary quiver representations.&nbs
 p\;\n(This is joint work with Marc Fersztand\, Emile Jacquard\, Vidit Nand
 a.)
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