Chaos and Homology Theory

Ponente: Michael Shub
Institución: City College of New York
Tipo de Evento: Investigación
Cuándo 31/10/2019
de 13:00 a 14:00
Dónde Auditorio "Alfonso Nápoles Gándara"
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I will discuss, the existence of Morse-Smale diffoemorphisms and relations with the entropy conjecture. Smooth diffeomorphosms without chaotic behaviour must induce a map in homology whose eigenvalues are roots of unity (and more). That is if some eigenvalue is not a root of unity there must be chaotic behavior. These are old results in which I have recently become interested again, there are quite a few interesting open problems.