Prerequisite basic knowledge of measure theory, functional analysis and Riemannian manifold Abstract Statistical properties of dynamical systems are always of high interest because they may
Prerequisite probability theory, calculus, Abstract With the development of the financial market, traditional financial products can not meet the increasing financial demand, and the derivatives
Abstract Previously, it was shown by the speaker that for any-graph patternthere is a finite forbidden familysuch that maximum recursive blow-ups ofare precisely maximum-free-graphs. I will discuss
Abstract In this talk, we show that the length of a shortest closed geodesic on a Riemannian manifold of dimension 4 with diameter D, volume v, and |Ric|<3 can be bounded by a function of v and D. ...
Abstract Floer defined Floer homology in two different cases. One is the case of Instanton Floer homology of 3 manifolds (homology sphere). The other uses pseudo-holomorphic curves. (The first Floe...
Prerequisite General Relativity, Field Theory, String Theory Abstract Starting with an overview of the classical/semi-classical aspects of black holes, this course will emphasise black hole quantum
Prerequisite The elementary theory about algebraic topology Abstract In applied mathematics, topological based data analysis (TDA) is an approach to the analysis of datasets using techniques from
Prerequisite Some basic knowledge of quantum mechanics and category theory. Background in logic or algebraic/differential geometry would be helpful. Abstract A topos is a mathematical structure whi...
Prerequisite You should be familiar with fundamental notions in algebra and representation theory (basic ring theory, associative algebras, Lie algebras and their universal enveloping algebras
Prerequisite basic knowledge of function of one complex variable, algebraic topology, compact Riemann surface Abstract I will talk about a general theory of monodromy preserving deformation, which ...
