A new approach to the nonlinear Schrödinger equation

Abstract With collaborators Jesse Gell-Redman and Sean Gomes, we have begun to set up an entirely new framework for tackling the linear and nonlinear Schrödinger equation. I will describe this setu...

黄意

研究领域 我研究低维拓扑、泰希米勒理论，但我的专长是双曲三角函数。 教育背景 2014年从墨尔本大学博士毕业，导师是Paul Norbury教授。 工作经历 从2015年12月-2018年12月在丘成桐数学科学中心当过博士后 发表论...

Neural Nets and Numerical PDEs

Modern Approach to Classical Integrable Systems

Record: Yes Level: Graduate Language: English Prerequisite: The course is designed for an audience that has previously attended general course of classical or analytical mechanics and courses

Around the Ising Model in 80 days

Record: Yes Level: Graduate Language: English Prerequisite: Undergraduate Probability: Independent events, Laws of large numbers. Basic measure theory and functional analysis. Introduction: I will

Constructing algebraic solutions of  Painleve VI equation from  p-adic Hodge theory  and Langlan...

Abstract： For the projective line over complex numbers with 4 punctures 0, 1, \infity, \lambda, where lambda is a parameter running in P^-{0, 1, \infty} we construct infinitely many rank-2 local

Long range order for three-dimensional random field Ising model throughout the entire low

Abstract We study the Ising model on Z^3 with an externel field {\epsilon h_v} where h_v~N(0,1). We want to show that for any T lower than the critical temperature T_c, the long range order exsits ...

Some ergodic optimization problems for expanding circle maps

Abstract In this talk, we consider some ergodic optimization problems for an expanding circle map. When the map is real analytic, we show that all optimizing measures of a real analytic potential

Geometric inequalities inspired by algebraic /analytic geometry

Abstract Geometric inequalities reveal relation between different geometric quantities, such as volume, surface area, width, diameter, etc. By the correspondences between convexity and positivity, ...

Challenges and Opportunities in Turbulent Reactive Flow Simulations

Abstract Combustion modeling is now playing an important role in the design and optimization of advanced combustion devices. For high-fidelity combustion modeling, it is essential, though challengi...