Quantifying isolated singularity in DEs

Seminar
Speaker
Prof. Y. Krasnov Bar-Ilan University
Date
16/11/2015 - 18:00 - 14:00Add to Calendar 2015-11-16 14:00:00 2015-11-16 18:00:00 Quantifying isolated singularity in DEs Consider a polynomial map $f: C^n\to C^n$, vanishing at some point $z_0$ in $C^n$. In differential equations, such points are called equilibria of the vector field $z' = f(z)$, or their singular points. The question is "how singular". Can we quantify the singularity of $f$ at $z_0$? Attempting only to demystify the problem, in this presentation we make an effort to quantify singularity in the sense of differential equations and also discuss connections of this theory to analysis, topology and commutative algebra. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

Consider a polynomial map $f: C^n\to C^n$, vanishing at some point $z_0$ in $C^n$. In differential equations, such points are called
equilibria of the vector field $z' = f(z)$, or their singular points. The question is "how singular". Can we quantify the singularity of $f$ at $z_0$?
Attempting only to demystify the problem, in this presentation we make an effort to quantify singularity in the sense of differential equations
and also discuss connections of this theory to analysis, topology and commutative algebra.

תאריך עדכון אחרון : 10/11/2015