AbstractConsider the action of GL_d(Z) on the d-dimensional torus R^d/Z^d. Given a probability measure on GL_d(Z) and a point on the torus, a random walk is defined. In this talk, I will report some recent progress about the equidistribution of such random walks. More precisely, I will talk about quantitative results under the assumption that the acting group has semisimple Zariski closure. Thi...
课程描述 DescriptionCategorical dynamical systems have fruitful connections with various mathematical fields, for instance with algebraic geometry, Teichmuller theory, symplectic geometry, and dynamical systems. The goal of this course is to give an introduction to the recent works on categorical dynamical systems. We will discuss topics that are closely related to the development of categorica...
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