Back to Departmental Colloquium: Spring 2010
Departmental Colloquium
Date: Thursday, Feb 25, 2010
Time: 4:15PM
Location: JWB 335
Charles Favre
École Polytechnique
Title |
Degree growth of rational maps |
Abstract |
Suppose we are given a rational map f : P^d -> P^d on a projective space. The most basic algebraic invariant that one can attach to this map is its degree defined as the degree of the preimage of a generic hyperplane. In this talk, we shall discuss the problem of describing the behaviour of the sequence deg(f^k) when k tends to infinity. The growth of degrees is an important issue in the study of the dynamics of rational maps on projective spaces. |
Mathematical Biology
Data Science and Machine Learning
Applied Mathematics