Topics in Geometry and Dynamics


Harvard University - Spring 2017
Audience Elected Topics:
  • Hausdorff dimension and eigenvalues of the Laplacian
  • The thermodynamic formalism
  • The bifurcation current (ratl maps/Kleinian groups)
  • Mostow rigidity
  • Sullivan bound on cusps
  • Dynamics on moduli space
  • Billiards
  • Jacobians with real multiplication
  • Rigidity of VHS (Schmid)
  • The Mordell-Shafarevich conjecture
  • Heights and periodic points
  • Braid groups and Hodge theory
  • Teichmueller theory and rational maps
  • Entropy in holomorphic dynamics
  • Manifestations of Lehmer's number
  • Dynamics on K3 surfaces
  • Dynamics on rational surfaces

Course home page: http://math.harvard.edu/~ctm/math275