AbstractI am going to make elementary discussions on some random recursive systems in probability theory. These systems have very simple forms, for which most mathematical questions remain yet unanswered.Shi Zhan 施展Academy of Mathematics and System ScienceChinese Academy of Sciences施展,中国科学院数学与系统科学研究院研究员。他本科毕业于中国科学技术大学数学系,在巴黎第六大学获得数学硕士和博士...
Abstract: Non-abelian Hodge theory relates representations of the fundamental group of a compact Riemann surface X into a Lie group G with holomorphic objects on X known as Higgs bundles, introduced by Hitchin more than 35 years ago. Starting with the case in which G is the circle, and the 19th century Abel-Jacobi's theory, we will move to the case of G=SL(2,R) and the relation to Teichmüller t...