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SUMMARY:Macdonald theory from switching limits
DTSTART:20141110T151500
DTEND:20141110T170000
DTSTAMP:20260407T195011Z
UID:3b9410f434640d6105d070ed6f1e7722a7feda5b4d80d2fd464a4dd1
CATEGORIES:Conferences - Seminars
DESCRIPTION:Erik Carlsson\, (ICTP Trieste)\nin geometric representation th
 eory\, one often wants to study pushforwards of sheaves on a space Y that 
 is not necessarily smooth or projective. A common practice is to imbed the
  space in a well-behaved space X (projective space\, for instance)\, consi
 der the fundamental class [O_Y] in the K theory of X\, and apply the proje
 ction formula. We can deduce this formula when X\,Y are ind-varieties from
  the finite dimensional filtrations X_i\,Y_j provided that we may switch t
 he two limits. I'll present some subtle conditions for when certain limits
  switch in the case when X is the infinite dimensional Grassmannian variet
 y\, and show how this implies some interesting and well-known results in M
 acdonald theory\, following a geometric idea of Graeme Segal. This talk sh
 ould be very down to earth and self contained.
LOCATION:MAA331 http://plan.epfl.ch/?lang=fr&room=MA+A331
STATUS:CONFIRMED
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