Description

Date and time: Tuesday, 29 November at 2.30 pm Venue: Room 215 Speaker: Arindam Banerjee, IIT Kharagpur Title: A binomial type formula for integral closures of powers of monomial ideals. Abstract: Let I and J be two ideals in two polynomial rings A=K[x_1,....,x_m] and B=[y_1,...,y_n] respectively. Tai Ha et al. proved a binomial formula for $(I+J)^(n)$ in (A \tensor B) in terms of symbolic powers I^(t) and J^(t') where t and t' are less than or equal to n. A similar formula fails for integral closures of powers of ideals, even for monomial ideals. It has been shown in a recent joint work with Tai Ha that for monomial ideals some binomial type formula holds for integral closures of powers of (I+J). Using this formula we have also shown some formulas for regularity (and depth) of integral closures of powers of (I+J) in terms of regularity (and depth) of integral closures of lower powers of I and J. In this talk, we plan to discuss this work and some potential problems.

Description

Room No 215, Department of Mathematics

URL

Room No 215, Department of Mathematics

Date

Tue, November 29, 2022

Start Time

2:30pm IST

Priority

5-Medium

Access

Public

Created by

DEFAULT ADMINISTRATOR

Updated

Mon, November 28, 2022 9:36am IST