Thematic Program on

Dynamical Systems
School of Mathematics, IPM,
February - May, 2017

 School of Mathematics

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 Mini Course
 Speaker: Andres Navas (Universidad de Santiago de Chile) Title: Some simple results and questions concerning cohomology of dynamical systems Date & Time: Tuesday, Feb. 7, 2017, 9:30--10:45 Tuesday, Feb. 7, 2017, 11:00--12:15 Thursday, Feb. 9, 2017, 9:30--10:45 Thursday, Feb. 9, 2017, 11:00--12:15 Location: Lecture Hall 2, IPM Niavaran Building, Niavaran Square, Tehran

 Description: We will start by reviewing classical results of Gotzchalk-Hedlund and Livsic theorems. After that, we will consider recent extensions into a nonlinear setting, as well as some interesting applications.

 References: [1] D. Coronel, A. Navas, M. Ponce, On bounded cocycles of isometries over minimal dynamics. J. Mod. Dyn. 7 (2013), no. 1, 45–74. [2] A. Navas, Sur les rapprochements par conjugaison en dimension 1 et classe $C^1$. (French) [On connections by conjugation in dimension 1 and class $C^1$] Compos. Math. 150 (2014), no. 7, 1183–1195. [3] A. Navas, M. Triestino, On the invariant distributions of $C^2$ circle diffeomorphisms of irrational rotation number. Math. Z. 274 (2013), no. 1-2, 315–321. [4] A. Kocsard, On cohomological $C^0$-(in)stability. Bull. Braz. Math. Soc. (N.S.) 44 (2013), no. 3, 489–495. [5] H. Kodama, Sh. Matsumoto, Minimal $C^1$-diffeomorphisms of the circle which admit measurable fundamental domains. Proc. Amer. Math. Soc. 141 (2013), no. 6, 2061–2067. [6] Douady, R., Yoccoz, J.-C.: Nombre de rotation des difféomorphismes du cercle et mesures automorphes. Regul. Chaotic Dyn. 4,  (1999), 2–24.

 School of Mathematics, IPM - Institute for Research in Fundamental Sciences Niavaran Building, Niavaran Square, Tehran, Iran Tel: +98 21 222 90 928 Email: gt@ipm.ir