Number Theory Seminar
Xinyi Yuan
Columbia University
Calabi-Yau Theorem and Algebraic dynamics.
Abstract: The uniqueness part of the Calabi-Yau theorem asserts
that the Monge-Ampere measure on a (complex) positive Hermitian line
bundle determines the Hermitian metric up to constant. Here we
introduce a p-adic analogue of the theorem. Combined with the
equidistribution theory, we obtain the rigidity of preperiodic points
for algebraic dynamical systems.
This seminar is joint with geometry-topology-dynamics.
Wednesday September 29, 2010 at 3:00 PM in SEO 612