Document Type
Lecture
Publication Date
8-30-2013
Abstract
In this talk, I will describe some algebraic methods to study problems in geometry, where there is a beautiful interplay between ideas from commutative algebra, algebraic geometry, and combinatorics. The main goal is to understand how geometric ideas manifest in various algebraic structures and invariants. It turns out there are often elegant characterizations of geometric properties in terms of algebraic conditions that can be captured numerically. For instance, certain equisingularity conditions are translated into algebraic conditions known as integral dependence of modules, governed by numerical invariants referred to as multiplicities. Faculty, staff and students are welcome to attend.
Relational Format
presentation
Recommended Citation
Validashti, Javid, "Algebraic Methods in Geometric Problems" (2013). Colloquium. 34.
https://egrove.olemiss.edu/math_colloquium/34
