School of Mathematics Seminars and Lectures

Suslin's Cancellation Conjecture in the Smooth Case

by Mr. S Sandeep (TIFR, Mumbai)

Tuesday, November 29, 2022 from to (Asia/Kolkata)
at AG-77
Abstract: For a smooth affine algebra of dimension $d$ over an
algebraically closed field $k$ with $d!\in k^{\times}$, it is known that
stably isomorphic projective modules of rank at least $d$ are isomorphic.
Also, this is known not to be true in general when the modules have rank
less than $d-1$.

In this paper ( by Fasel, the above is
extended to modules of rank $d-1$ using the \mathbb{A}^1-$homotopy theory.