Dynamical Systems on Homogeneous Spaces

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Apply with Cube. Abstract In the last decade, there have been several important breakthroughs in Number Theory, where progress on long-standing open problems has been achieved by utilizing ideas originated in the theory of dynamical systems on homogeneous spaces, and their application to lattice point counting and distribution. The workshop will include four mini-courses on the topics 1 Dynamics and lattice point counting 2 Thermodynamic formalism 3 Diophantine approximation 4 Fine-scale statistics in number theory and dynamics In addition, there will be a number of research and expository talks.

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A homogeneous flow is a dynamical system generated by the action of a closed subgroup H of a Lie group G on a homogeneous space of G. Dani, S. G. Dynamical systems on homogeneous spaces. Bull. Amer. Math. Soc. 82 (), no. 6, conwurtcompfulsa.ga

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