BILKENT
ALGEBRA-TOPOLOGY SEMINAR

"Two Remarks on Monomial Gotzmann Sets"

By

Ata Fırat Pir

(Bilkent University)

Abstract: A homogeneous set of monomials
in a quotient polynomial ring S:=F[x_1,.,x_n] is called Gotzmann
if the size of this set grows minimally when multiplied with variables. We note
that Gotzmann sets in the quotient R:=F[x_1,.,x_n]/(x_1^a) arise from certain Gotzmann sets in S. Secondly we prove a combinatorial
result about the deletion of a variable in a Gotzmann
set in S.

Tea and cookies will be served after the
seminar.

Date:
Monday, April 4, 2011

Time: 13.40-14.30

Place: Mathematics Seminar Room,
SA-141