School of Mathematics Colloquium

Weightless Cohomology of Algebraic Varieties

by Mr. Vaibhav Vaish (ex-TIFR)

Thursday, September 13, 2012 from to (Asia/Kolkata)
at Colaba Campus ( AG-69 )
Description
We construct a new functorial cohomology theory on the
category of varieties over a base field  k  using mixed hodge modules of
Saito (if  k  is complex numbers) or Frobenius weights (if k  
is finite). The construction is motivic and naturally arises in the context of Shimura Varieties where it captures the cohomology of Reductive Borel Serre compactification.