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.