Vaibhav Vaish
TIFR
September 13, 2012
Weightless Cohomology of Algebraic Varieties: 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.
TIFR
September 13, 2012
Weightless Cohomology of Algebraic Varieties: 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.