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BEGIN:VEVENT
SUMMARY:Representation count\, rational singularities of deformation varie
 ties\, and pushforward of smooth measures
DTSTART:20130923T151500
DTEND:20130923T170000
DTSTAMP:20260413T182920Z
UID:12eb54d453b0648e19f7d930ffddcb6ba017fa91cee8dfbb38621556
CATEGORIES:Conferences - Seminars
DESCRIPTION:Avraham Aizenbud\, Weizmann Institute\nWe will present the fol
 lowing  3 results:\n1.  The number of n-dimensional irreducible represen
 tations of the\npro-finite group $SL(d\,Z_p)$ is bounded by a polynomial o
 n n whose\ndegree does not depend on d and p (our current bound for the de
 gree is\n22).\n2. Let $\\phi : X \\to Y$ be a flat map of smooth algebraic
  varieties\nover a local field $F$ of characteristic 0 and assume  that a
 ll the\nfibers of $\\phi$ are of  rational singularities. Then\, the\npus
 h-forward of any  smooth compactly supported measure on $X$ has\ncontinuo
 us density.\n3. Let $X=\\Hom(\\pi_1(S)\,SL_d)$ where $S$ is  a surface of
  high enough\ngenus (our current bound for the genus is 12). Then $X$ is o
 f rational\nsingularities.\nWe will also discuss the surprising relation b
 etween those results\nwhich allowed us to prove them.\nSlides:\nhttp://mat
 h.mit.edu/~aizenr/4Talks/Rep_count_tallk.pdf
LOCATION:MAA110 http://plan.epfl.ch/?zoom=19&recenter_y=5864094.13968&rece
 nter_x=731149.38531&layerNodes=fonds\,batiments\,labels\,information\,park
 ings_publics\,arrets_metro&floor=1&q=MAA110
STATUS:CONFIRMED
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