Barak Weiss (BGU)

will speak

Bounded trajectories on the space of quadratic differentials.

Abstract:

In joint work with D. Kleinbock, we show that given a quadratic differential q, the set of angles \theta for which the Teichmuller geodesic trajectory of e^{i\theta}q is bounded in the moduli space has full Hausdorff dimension. This result is in analogy with the abundance of bounded trajectories for a one-parameter diagonalizable subgroup on a noncompact finite volume homogeneous space. I will give an introduction to dynamics on the space of quadratic differentials and discuss the interesting parallels with dynamics on homogeneous spaces.

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Last update on 20/10/02.