Sophie Morel

Sophie Morel is born in December 1979 near Paris, France. She has received her Ph.D. in December 2005 under the direction of Gérard Laumon at the Université de Paris Sud (Orsay). Her thesis, "Complexes d'intersection des compactifications de Baily-Borel - le cas des groupes unitaires sur Q," is an important step forward in the Langlands program. She develops a theory of weight truncation on varieties over finite fields with which she derives a simple description of the intersection complexes on the Baily-Borel compactifications of certain Shimura varieties over finite fields. From this in turn she obtains a formula for the trace of the Frobenius endomorphism on the Euler characteristic of the intersection cohomology.She will be a member of the Institute for Advanced Study for the academic years 2006-2007 and 2007-2008.

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