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UID:20250312T175240EDT-6034NPElr9@132.216.98.100
DTSTAMP:20250312T215240Z
DESCRIPTION:Smooth Schubert varieties of affine type.\n\nA natural question
  about Schubert varieties is: when is a Schubert variety smooth? In finite
  type\, this question is completely solved. Not only can we recognize smoo
 th Schubert varieties using pattern avoidance\, but we can explicitly cons
 truct all smooth Schubert varieties as iterated fibre bundles starting fro
 m a short list of known manifolds. Much less is known about smooth Schuber
 t varieties of affine type. In this talk\, I will discuss joint work with 
 Ed Richmond in which we show that everything we know about finite type can
  be extended to affine type A. In particular\, we show that every smooth S
 chubert variety of affine type A is an iterated fibre bundle of Grassmanni
 ans. I will also highlight some examples showing that interesting things c
 an happen in affine type\, including joint work with Lakshmibai and Raviku
 mar showing that the cotangent bundle to a cominuscule Grassmannian can be
  embedded in a smooth Schubert variety of an affine two-step partial flag 
 variety.\n
DTSTART:20161104T173000Z
DTEND:20161104T183000Z
LOCATION:Room PK-4323\, CA\, Pavillon Président-Kennedy
SUMMARY:William Slofstra\, University of Waterloo
URL:/mathstat/channels/event/william-slofstra-universi
 ty-waterloo-263864
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