Multiplicity Theory in Commutative Algebra

-
Abstract
In this talk, we will discuss various notions of multiplicity that are objects of study within commutative algebra and its interaction with algebraic geometry. These include the usual Hilbert-Samual multiplicity, intersection multiplicities from the work of Serre, Hilbert-Kunz multiplicity, j-multiplicity, and mixed multiplicities. I aim to provide several examples, classical properties, and important applications of these multiplicities. If time permits, I will mention some of my research work in these areas.
Description

Number Theory and Algebra Seminar
Friday, Nov. 18
12:00pm MST
WXLR A308

Speaker

Sudipta Das
Graduate Teaching Associate
Arizona State University

Location
WXLR A308