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.
Description
Ramanujan Hall
Date
Tue, October 24, 2017
Start Time
9:30am-10:25am IST
Duration
55 minutes
Priority
5-Medium
Access
Public
Created by
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Updated
Sun, October 22, 2017 12:26pm IST