Speaker: Carlos H. Vásquez (Instituto de Matemáticas Pontificia Universidad Católica de Valparaíso)
Time: Mar 4, 2019, 11:00-12:00
Location: Conference Room 415, Hui Yuan 3#
Abstract: We prove the topological entropy remains constant inside the class of partially hyperbolic diffeomorphisms of $\mathbb{T}^d$ with simple central bundle (that is, when it decomposes into one dimensional sub-bundles with ''controlled geometry '') and such that their linear part is hyperbolic.
In absence of the simplicity condition it is possible to construct a robustly transitive counter-example, evidencing the necessity of our assumptions.
Work in progress joint to Pablo Carrasco (UFMG-Brazil), Cristina Lizana (UFBA -Brazil) and E. Pujals (CUNY, USA).
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