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Chaos and Homology Theory

Michael Shub, City College of New York
Seminario Guillermo Torres de Geometría y Topología
Auditorio Alfonso Nápoles Gándara
31 de octubre de 2019, 13:00 horas
https://www.matem.unam.mx/actividades/seminarios/guillermo-torres/actividades/chaos-and-homology-theory

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.

  • Chaos and Homology Theory

    Chaos and Homology Theory

    Auditorio Alfonso Nápoles Gándara