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SUMMARY:Mark Shoemaker (Colorado State)
DTSTART:20231130T233000Z
DTEND:20231201T003000Z
DTSTAMP:20260422T055556Z
UID:SFUQNTAG/95
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/95/
 ">Counting curves in quiver varieties</a>\nby Mark Shoemaker (Colorado Sta
 te) as part of SFU NT-AG seminar\n\n\nAbstract\nFrom a directed graph $Q$\
 , called a quiver\, one can construct what is known as a quiver variety $Y
 _Q$\, an algebraic variety defined as a quotient of a vector space by a gr
 oup defined in terms of $Q$.  A mutation of a quiver is an operation that 
 produces from $Q$ a new directed graph $Q’$ and a new associated quiver 
 variety $Y_{Q’}$.  Quivers and mutations have a number of connections to
  representation theory\, combinatorics\, and physics.  The mutation conjec
 ture predicts a surprising and beautiful connection between the number of 
 curves in $Y_Q$ and the number in $Y_{Q’}$.  In this talk I will describ
 e quiver varieties and mutations\, give some examples to convince you that
  you’re already well-acquainted with some quiver varieties and their mut
 ations\, and discuss an application to the study of determinantal varietie
 s.  This is based on joint work with Nathan Priddis and Yaoxiong Wen.\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/95/
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