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SUMMARY:Gaia Comaschi (University of Campinas)
DTSTART:20200415T183000Z
DTEND:20200415T193000Z
DTSTAMP:20260423T021650Z
UID:BRAG/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/1/">GIT
  stability of linear systems of skew-symmetric forms</a>\nby Gaia Comaschi
  (University of Campinas) as part of Brazilian algebraic geometry seminar\
 n\n\nAbstract\nGiven a 6 dimensional vector space $W$\, we consider $\\mat
 hbb{P}(\\mathbb{C}^{n+1}\\otimes \\bigwedge ^2 W^*)$\, the projective spac
 e parameterizing n-dimensional linear systems of skew-symmetric forms on $
 W$. Since the group $SL(W)$ acts on $\\mathbb{P}(\\mathbb{C}^{n+1}\\otimes
  \\bigwedge ^2 W^*)$\, Geometric Invariant Theory (GIT) provides a notion 
 of (semi)stability. In this talk I will introduce a criterion to detect th
 e (semi)stability of linear systems of skew-symmetric forms and I will the
 n present how this criterion allows to obtain a complete classification of
  all stable linear systems having generic rank equal to 4.\n\nAccess the Z
 oom link\nhttps://zoom.us/j/92887438541?pwd=Q3BHRU9CcFBicTJ1eXhacVpLOERKUT
 09\n
LOCATION:https://researchseminars.org/talk/BRAG/1/
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