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Lectures on Elliptic Homogenization 齐次椭圆方程
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https://www.youtube.com/playlist?list=PLldN_DpkXL3ZhzjCCSbBn3FmtrKb5N8LA Zhongwei Shen, University of Kentucky Prerequisites: A year-long graduate course on PDEs and a year-long graduate course on real analysis.
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Regularity of Nonlinear Elliptic Equations 非线性椭圆方程的正则性
Boltzmann Equations 玻尔兹曼方程
Lectures on geometric Langlands 几何朗兰兹
【HSE】Elliptic Integrals and Elliptic Functions 椭圆积分和椭圆函数
【UCLA】Spectral Sequences 谱序列
p-adic Hodge theory p进霍奇理论
Index Theory 指标理论
Birch Swinnerton-Dyer conjecture BSD猜想
Homological Algebra 同调代数
Representations of classical groups and related topics
【HSE】Introduction to Functional Analysis 2 Operator Theory 泛函分析2:算子理论
perverse sheaves 反常层 (偏屈层)
【ETHZ】Lectures on Drinfeld Modules
The Bernstein Sato polynomial
Étale Cohomology and the Weil conjectures
Linear Algebra 线性代数
Nonlinear algebra 非线性代数
Geometric Analysis, Metric Geometry and Topology
Lectures on Gelfand-Tsetlin Theory
【UCLA】Cluster algebras 丛代数
∞-categories and Higher Algebra
Pseudodifferential operators and complex powers of elliptic operators on 非交换环
【厦门大学数论短课】From Galois theory to Galois representations
含真空情形可压缩完全Navier-Stokes方程组具一致有界熵解的适定性
Birational geometry of algebraic varieties 双有理几何
【厦门大学Fano Varieties暑校】Construction of K-moduli spaces
【厦门大学Fano Varieties暑校】The existence of complements for Fano type varieties
Complex surfaces 复曲面
Geometry of Gauge Theories
Quiver moduli and applications
Introduction to higher category theory 高阶范畴论
【Fields Institute】Algebraic Geometry 代数几何
【MSRI】Ricci Flow by Bennett Chow
Tropical Geometry 热带几何
Introduction to homological algebra 同调代数导论
Abelian Varieties 阿贝尔簇
Geometrization of the local Langlands correspondence
Galois Theory 伽罗瓦理论
Hodge Theory of p-adic analytic varieties and arithmetic applications
Modular forms 模形式