EVENT DETAILS AND ABSTRACT

Title: Existence of transverse homoclinic points
Speaker: Professor Lan Wen
Speaker Info: Peking University and Northwestern University
Brief Description:
Special Note:
Abstract:

Palis conjectures that any diffeomorphism can be $C1$ approximated either by a Morse-Smale diffeomorphisms, or by one that has a transverse homoclinic point (a horseshoe). Briefly, the conjecture states that every diffeomorphism can be $C1$ approximated either by a diffeomorphism that is very simple, or by one that is very complicated. We discuss some recent progress about this conjecture.