Sophie Morel

Sophie Morel ( born December 16, 1979 in Issy -les -Moulineaux ) is a French mathematician who deals with the Langlands program and algebraic geometry.

Morel studied from 1999 mathematics at the École Normale Supérieure (ENS ) in Paris and in 2002 at the Paris-Sud University, where she received her doctorate in Gérard Laumon 2005 ( Complexes d' intersection of compactifications de Baily - Borel. Le cas of groupes unit aires sur Q). Her doctoral thesis was considered significant advance in Langland program. 2006 to 2009 she was in Princeton, New Jersey at the Institute for Advanced Study. In 2009 she became a professor at Harvard University in Cambridge, Massachusetts. Since 2006 she has been there Clay Research Fellow.

Part of Langland program is the calculation of Hasse -Weil zeta functions of Shimura varieties, including the number of points of the Shimura varieties must be calculated over finite fields. The problem was open especially in the non - compact case. Morel developed a simple description of the interface complexes of Baily - Borel compactifications of Shimura varieties over finite fields and obtained a formula for the trace of the Frobeniusoperators on the intersection homology.

In 2012 she was awarded the EMS Prize 2010 she was invited speaker at the International Congress of Mathematicians in Hyderabad (The intersection complex as a weight truncation and on application to Shimura Varieties ).

Writings

  • On the cohomology of Shimura Varieties Certain non compact. Annals of Mathematical Studies, Volume 173, Princeton University Press, 2010.
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