Hyperbolic Interweaving in Dynamics Celebrating Lorenzo J. Díaz 60th birthday September 06 - 08, 2021 Registration
Anton Gorodetski (University of California Irvine)
Carlangelo Liverani (University of Roma Tor Vergata)
Carlos Vasquez (Pontifical Catholic University of Valparaiso)
Christian Bonatti (Université de Bourgogne)
Fabio Tal (University of São Paulo)
Federico R. Hertz (Penn State University)
Katrin Gelfert (Federal University of Rio de Janeiro)
Omri Sarig (The Weizmann Inst. Sc.)
Sebastian van Strien (Imperial College)
Shin Kiriki (Tokai University)
Sylvain Crovisier (University Paris-Sud XI)
The conference will be in honor of Lorenzo J. Díaz on the occasion of his 60th birthday. Díaz is a renowned expert in dynamical systems, with an impressive list of scientific contributions. Díaz is one of the leading figures in the area of heterodimensional cycles and their importance in global dynamics. One of his first works on cycles contains the germ of the notion of a “blender”, later developed jointly with C. Bonatti. Blenders nowadays provide a key model for understanding robust transitivity and nonhyperbolicity from the topological and ergodic points of view. Indeed, he played a pivotal role in the development of this line of research. In a different direction, he constructed the first examples of prevalent global strange attractors dealing with the so-called critical saddle-node cycles. Díaz has been playing a leading role in the study of C^1-generic dynamics and nonhyperbolic homoclinic classes. Among his main contributions in this direction, one may highlight the construction of models of “wild” dynamics. Over the last decade, Díaz has also been most interested in the study of (persistent) nonhyperbolic invariant ergodic measures, that is, with a zero Lyapunov exponent. Currently, he is studying thermodynamical aspects of partially hyperbolic systems with a focus on non-hyperbolic measures. Besides, Díaz is an enthusiastic organizer of seminars and promoter of mathematics.
The topics of the conference will encompass a wide nevertheless intertwined spectrum of fields: homoclinic and heteroclinic behavior, fractal dimensions, partially hyperbolic systems, dominated splittings, singular hyperbolic flows, symbolic dynamics, thermodynamic formalism, Lyapunov exponents, nonuniform hyperbolicity.