AbstractThe shrinking target problem concerns the sizes of the sets of the points in a metric space whose orbits under a transformation fall into a family of shrinking subsets infinitely often. We study such problems for matrices with real coefficients which are transformations on the d-dimensional torus. We obtain a zero-one law for the Lebesgue measure of the corresponding shrinking target se...
课程描述 DescriptionVertex operator algebras (VOAs) are mathematical objects describing 2d chiral conformal field theory. The representation category of a “strongly rational” VOA is a modular tensor category (which yields a 3d topological quantum field theory), and conjecturally, all modular tensor categories arise from such VOA representations. Conformal blocks are the crucial ingredients in...
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