Prerequisitebasic knowledge of measure theory, functional analysis and Riemannian manifoldAbstractStatistical properties of dynamical systems are always of high interest because they may eventually pave the way for the global understanding of chaotic systems. This course will introduce the notion of transfer operator and decay of correlations for symbolic dynamics, expanding maps and uniformly ...
PrerequisiteGraduate level algebra.AbstractIn this course, we first introduce the notion modular tensor categories, and briefly explain how they are related to many areas of mathematics and physics. Then we will focus on the algebraic properties of MTC, mainly from their rationality, Galois symmetry and congruence properties.Lecturer Intro.Yilong Wang graduated from The Ohio State University in...