Thematic Program on
Dynamical Systems
 School of Mathematics, IPM,
 February - May, 2017

School of Mathematics
 & Topology

Practical Information  

Mini Course

Andres Navas (Universidad de Santiago de Chile)

Title: Some simple results and questions concerning cohomology of dynamical systems

Date &
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

Lecture Hall 2,
IPM Niavaran Building,
Niavaran Square, Tehran
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.

[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.

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.

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