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UID:20251028T224647EDT-5726JFdx71@132.216.98.100
DTSTAMP:20251029T024647Z
DESCRIPTION:Title: Determinants\, Pfaffians\, symmetric quivers\, and symme
 tric varieties\n\nAbstract: Type A quiver loci are a class of generalized 
 determinantal varieties. Special cases include classical determinantal var
 ieties and varieties of complexes. Since the 1980s\, mathematicians have f
 ound connections between these quiver loci and Schubert varieties in type 
 A flag varieties. These connections were used to gain insights into algebr
 o-geometric properties of type A quiver loci (e.g.\, singularities) and to
  produce combinatorial formulas for associated degeneracy loci.\n\nIn this
  talk\, I will recall some of this story. I will then discuss the related 
 setting of H. Derksen and J. Weyman's symmetric quivers and their represen
 tation varieties. Special cases include varieties defined by minors (or Pf
 affians) of symmetric and skew-symmetric matrices. I will show how one can
  unify the study of algebro-geometric properties of finite type symmetric 
 quiver representation varieties with corresponding properties for Borel or
 bit closures in certain symmetric varieties G/K (G = general linear group\
 , K = orthogonal or symplectic subgroup).\n\nThis is joint work with Ryan 
 Kinser and Martina Lanini.\n\nLocation: in person at UQAM PK-5675 (Zoom av
 ailable upon request)\n
DTSTART:20241009T190000Z
DTEND:20241009T200000Z
SUMMARY:Jenna Rajchgot (McMaster University)
URL:/mathstat/channels/event/jenna-rajchgot-mcmaster-u
 niversity-360222
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