Xuwen Zhu：Introduction to Microlocal Analysis(微局部分析)
https://www.youtube.com/watch?v=wSZQQBeH8pk
Xuwen Zhu：Introduction to Microlocal Analysis(微局部分析)
This talk will be a (very gentle) introduction of real blow ups with applications in singular geometry. We will start with two motivating toy problems, including an eigenvalue resolution of self-adjoint matrices and a simple Fredholm operator on a manifold with boundary. Then if time permits we will mention some applications in singular uniformization problems, where the resolution or compactification via blow ups plays an important role in understanding the moduli spaces of constant curvature metrics with cusp and conical singularities.
Xuwen Zhu,2010年获北京大学学士学位，2015年获MIT数学博士学位，师从世界著名微局部分析（Microlocal Analysis）和非线性PDEs大师Richard Melrose。曾在Stanford University和UC Berkeley做博士后。2019年秋季，在MSRI/SLMath(美国国家数学科学研究所)担任Uhlenbeck Postdoctoral Fellow。现任美国Northeastern University数学系助理教授。研究领域为：几何分析、微局部分析、偏微分方程、数学物理。（Geometric analysis, microlocal analysis, partial differential equations, mathematical physics.）
Xuwen Zhu Homepage：https://web.northeastern.edu/xuwenzhu/
Richard Melrose Homepage：https://math.mit.edu/~rbm/
微局部分析（Microlocal analysis）通过在underlying manifold的相空间/Phase space（即cotangent bundle/余切丛）中工作，为精确分析非线性PDEs或积分几何（integral geometry）等领域中出现的问题提供了工具。它起源于量子力学（quantum mechanics）和非线性双曲PDEs等领域，以及一般PDE理论的发展，并在过去40年中极大地扩展到singular spaces、积分几何（integral geometry）、非线性PDEs、散射理论（scattering theory）的分析…
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