Document Type
Lecture
Publication Date
10-24-2014
Abstract
The theory of multiplicities is ubiquitous in algebra. For instance, due to the seminal work of Rees in the 1960s, Hilbert-Samuel multiplicity plays a fundamental role in the theory of integral dependence of ideals. Multiplicity theory is widespread in geometry as well, particularly in equisingularity theory, influenced by Whitney in the 1950s, followed by Zariski, Thom, Mather, Teissier, Kleiman, Thorup, and Gaffney. The idea is to understand how topological similarity in a family of singularities is captured by various algebraic properties and invariants. In this talk, I will survey classical results and discuss new developments that enable exploration of more complex singularities.
Relational Format
presentation
Recommended Citation
Validashti, Javid, "Numerical measures of singularity" (2014). Colloquium. 21.
https://egrove.olemiss.edu/math_colloquium/21
