Minimum expansion factors of orientation-reversing pseudo-Anosov maps.

RESUMEN: Pseudo-Anosov maps are prevalent among mapping classes of surfaces. Given a pA map, the expansion factor measures the complexity of its dynamics. It is a classical result that the set of expansion factors (viewed as a subset of the set of real numbers) among all pA maps defined on a fixed surface has a minimum element. This minimum expansion factor can be thought of as the systole of the moduli space for the Teichmüller metric. Its value is not known for the genus larger than three.

 

Date: Apr 01, 2024 at 16:30:00 h
Venue: Sala de Seminario John Von Neumann, CMM, Beauchef 851, Torre Norte, Piso 7.
Speaker: Erwan Lanneau
Affiliation: Université Grenoble Alpes / Institut Fourier.
Coordinator: Alvaro Bustos
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Posted on Mar 21, 2024 in Dynamical Systems, Seminars