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Birch Swinnerton-Dyer conjecture BSD猜想
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https://www.youtube.com/watch?v=3vGiWK_ZyKs&t=5s Richard E. BORCHERDS
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Index Theory 指标理论
【厦门大学Fano Varieties暑校】The existence of complements for Fano type varieties
【乌普萨拉大学】Category O BGG范畴
【HSE】Research Seminar "The Weil Conjectures" 韦伊猜想研讨会
Geometric realization of p-adic local Langlands
【乌普萨拉大学】Lie Algebra 李代数
Abelian Varieties 阿贝尔簇
【HSE】Introduction to Functional Analysis 2 Operator Theory 泛函分析2:算子理论
Lectures on geometric Langlands 几何朗兰兹
Algebraic topology 代数拓扑
Module theory 模论
Étale Cohomology and the Weil conjectures
Lie Groups and Lie Algebras 李群和李代数
Complex analysis 复分析
【IHES】Higher order Fourier analysis and gap between primes
Gromov-Witten/Donaldson Thomas theory and Birational/Symplectic invariants
Introduction to higher category theory 高阶范畴论
Birational geometry of algebraic varieties 双有理几何
Commutative algebra 交换代数
【Fields Institute】Symplectic Geometry 辛几何
∞-categories and Higher Algebra
Regularity of Nonlinear Elliptic Equations 非线性椭圆方程的正则性
交换代数
Nonlinear algebra 非线性代数
P=NP?
Lectures on Siegel modular forms
Spectral Sequences 谱序列 Based on Prof. Ravi Vakil's Rising Sea, section 1.7
Weil Conjectures Workshop 韦伊猜想研讨会
Categories & Sheaves 范畴&层论读书班
p-adic Hodge theory p进霍奇理论
Lie groups 李群
【蒙特利尔大学】Lagrangian topology for the impatient 拉格朗日拓扑
Representation theory 表示论
【HSE】Introduction to Functional Analysis 泛函分析
【UCLA】Cluster algebras 丛代数
【IAS】Representation Theory & Categorification 表示论与范畴化
Representations of classical groups and related topics
【天元数学西南中心】遍历理论初步
Geometric Analysis, Metric Geometry and Topology
【厦门大学数论短课】Exponential sums over finite fields