Mon, September 3, 2018
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3:00pm [3:30pm] Kriti Goel
Description:
Date & Time: Monday, 3rd Sept 2018, 3:30 - 5:00 p.m. Venue: Room 215 Speaker: Kriti Goel Title: Mixed multiplicities of ideals (Lectures II ) Abstract: The concept of Hilbert-Samuel polynomial for an m-primary ideal was extended for two m-primary ideals by P. B. Bhattacharya. In other words, the function l(R/I^rJ^s) is given by a polynomial for r, s large. The coefficients appearing in the highest total degree terms in the polynomial are called the mixed multiplicities. These were investigated by B. Teissier (and J. J. Risler) in his Cargese paper. In a series of two talks, we will look at some properties of mixed multiplicities, using superficial elements. These talks aim to cover the preliminaries required for reading the paper 'A generalization of an inequality of Lech relating multiplicity and colength' by C. Huneke, I. Smirnov and J. Validashti.

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