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


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Short 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
Poster
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.



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