Speaker : Husney Parvez Sarwar (IIT Kharagpur)
Date : 27th December, 11:30-12:30
Venue : Ramanujan Hall.
Abstract. We shall discuss the cancellation of symplectic modules and the
splitting of symplectic modules.
The symplectic cancellation can be thought of as a projective module
cancellation which is a recent result of Fasel.
The symplectic splitting is similar to Murthy's splitting theorem.
To prove the cancellation and splitting, we shall carefully analyze the
Postnikov tower in the A^1 homotopy category
Then we shall prove the vanishing of top cohomology with coefficients in
some homotopy sheaf.
As an another application of the vanishing result, we answer partially a
question of Mrinal Das about
the isomorphism of (d-1)-th Euler class group and (d-1)-th Chow group.
This is based on a joint work with Rakesh Pawar.