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UID:news730@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190211T202907
DTSTART;TZID=Europe/Zurich:20131115T103000
SUMMARY:Seminar Algebra and Geometry: Jan Draisma (Universiteit Eindhoven)
DESCRIPTION:I will introduce the notion of Plücker variety\, which is a ru
 le that  assigns to a pair of a natural number p and a finite-dimensional 
 vector  space V a closed subvariety of the p-th exterior power of V. To be
  a  Plücker variety\, the rule should satisfy two axioms\, one of which i
 s  functoriality in V.  The Grassmannian is the smallest nonempty Plücker
   variety\, and the  class of Plücker varieties is closed under joins\,  
 tangential varieties\,  unions\, and intersections. I will sketch a  proof
  that any  "bounded"  Plücker variety is defined  set-theoretically by e
 quations of  bounded degree\, and in fact by  finitely many equations up t
 o symmetry.  So far\, this statement was  unknown even for the first secan
 t variety  of the Grassmannian. The talk  is based on joint work with Rob 
  Eggermont\, and inspired by Snowden's  work on Delta-varieties.
X-ALT-DESC: I will introduce the notion of Plücker variety\, which is a ru
 le that  assigns to a pair of a natural number <i>p</i> and a finite-dimen
 sional vector  space <i>V</i> a closed subvariety of the <i>p</i>-th exter
 ior power of <i>V</i>. To be a  Plücker variety\, the rule should satisfy
  two axioms\, one of which is  functoriality in <i>V</i>.  The Grassmannia
 n is the smallest nonempty Plücker  variety\, and the  class of Plücker 
 varieties is closed under joins\,  tangential varieties\,  unions\, and in
 tersections. <br /><br />I will sketch a  proof that any  &quot\;bounded&q
 uot\;&nbsp\; Plücker variety is defined  set-theoretically by equations o
 f  bounded degree\, and in fact by  finitely many equations up to symmetry
 .  So far\, this statement was  unknown even for the first secant variety 
  of the Grassmannian. The talk  is based on joint work with Rob  Eggermont
 \, and inspired by Snowden's  work on Delta-varieties.
DTEND;TZID=Europe/Zurich:20131115T120000
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