Sudeshna Roy

Description: Title: Gotzmann's regularity and persistence theorem
Abstract: Gotzmann's regularity theorem establishes a bound on
Castelnuovo-Mumford regularity using a binomial representation (the
Macaulay representation) of the Hilbert polynomial of a standard graded
algebra. Gotzmann's persistence theorem shows that once the Hilbert
function of a homogeneous ideal achieves minimal growth then it grows
minimally for ever. We start with a proof of Eisenbud-Goto's theorem to
establish regularity in terms of graded Betti numbers. Then we discuss
Gotzmann's theorems in the language of commutative algebra.
Location: Ramanujan Hall
Date: Tuesday, October 24, 2017
Time: 9:30am-10:25am IST
Duration: 55 minutes
Access: Public