School of Mathematics Seminars and Lectures

Motivic decomposition of abelian schemes without the Fourier transform

by Prof. Bruno Kahn (University of Paris-6, France)

Tuesday, July 27, 2010 from to (Asia/Kolkata)
at Colaba Campus ( Maths. Seminar Room A369 )
Description
Let $f:A\to S$ be abelian scheme. We rpove that for any $n$ invertible on $S$, the Leray spectral sequence for  $f$ with coefficients $Z/n$ degenerates canonically. This is also true for $l$-adic  cohomology and for Betti cohomology with integral coefficients if $S$ is a $C$-scheme.  We deduce from this some integrality results for the K\"unneth projectors associated to the motive of $A$.  This is a joint work with A. Skorobogatov.
Organised by Aravindakshan T
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