Mon, May 22, 2023
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4:00pm [4:00pm] Om prakash, IIT Gandhinagar
Description:

IPDF Talk 

Speaker: Om prakash, IIT Gandhinagar

Host: Manoj K Keshari

Date : 22nd May, Monday

Time : 4-5 pm.

Title: A Study of certain Affine Semigroups and Semigroup Rings.

Abstract: It has been proved that there is no upper bound on the Betti
numbers of a numerical semigroup ring for a fixed embedding dimension
$e\geq 4$. The same question can be asked for affine semigroup rings as
well. However, unlike numerical semigroup rings, affine semigroup rings do
not necessarily have the Cohen-Macaulay property, and the existence of
Pseudo Frobenius elements of an affine semigroup is also not guaranteed.
We will discuss some results and examples in this talk and try to show how
the Cohen-Maculayness and the pseudo-Frobenius set play an important role
in the study.

Link : https://meet.google.com/gyb-jfbn-oiu?authuser=0


5:00pm  
6:00pm