Sudeshna Roy, TIFR Mumbai

Description

Commutative Algebra Seminar

Tuesday, 13 Feb, 3 pm—4 pm

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Venue:   Room 215

Host: Tony J. Puthenpurakal

Speaker: Sudeshna Roy

Affiliation: TIFR Bombay

 

Title:  Epsilon multiplicity in two-dimensional standard  graded algebras

Abstract: The notion of epsilon multiplicity, a generalization of the Hilbert-Samuel multiplicity, was introduced by B. Ulrich and J. Validashti to detect the integral dependence of arbitrary ideals. This invariant is difficult to handle as there are examples where it can be irrational and the epsilon function is very far from being polynomial-like. Let $A$ be a standard graded normal domain of dimension two over a field with the unique homogeneous maximal ideal $m$. Let $I$ be a homogeneous ideal in $A$. Our objective is to show that the epsilon multiplicity of $I$ is a rational number.

Description
Room No. 215, Department of Mathematics
URL
Room No. 215, Department of Mathematics
Date
Tue, February 13, 2024
Start Time
3:00pm-4:00pm IST
Duration
1 hour
Priority
5-Medium
Access
Public
Created by
DEFAULT ADMINISTRATOR
Updated
Mon, February 12, 2024 8:15pm IST