Rigidity and Flexibility in Dynamics
Math 275 - MWF 10-11 pm - 232 SC
Harvard University - Fall 2006
Curtis T McMullen
Dynamics in One Complex Variable ,
Third Edition. Princeton University Press, 2006.
Benedetti and Petronio,
Lectures on Hyperbolic Geometry,
M. B. Bekka and M. Mayer,
Ergodic theory and topological dynamics of group actions on homogeneous spaces,
Cambridge University Press, 2000.
Soc. Math. France, 1995
W. Parry and M. Pollicott,
Zeta Functions and the Periodic Orbit Structure
of Hyperbolic Dynamics,
Astérisque 187--188, Soc. Math. France 1990.
Other useful references
Intended for advanced graduate students.
A survey of methods, results and open problems in
complex dynamics, hyperbolic geometry, and the ergodic
theory of Lie groups. Topics may include:
Enrolled students should attend the course regularly.
Those taking the course for a grade will be asked to hand in
- Mostow rigidity
- Iterated rational maps
- Hausdorff dimension and the thermodynamic formalism
- Flows on homogeneous spaces
- Rational maps with given combinatorics
- Curves in moduli spce
- Dynamics on algebraic surfaces
- Lattices in Rn
- Higher rank actions
| 18 Sept (M) || First class
| 9 Oct (M) || Columbus day -- no class
| 10 Nov (F) || Veteran's day -- no class
| 24 Nov (F) || Thanksgiving -- no class
| 18 Dec (M) || Last class
| 2 Jan (Tu) || Reading period begins
| 12 Jan (F) || Exams begin
Course home page: