Some analogies between arithmetic and topology
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Étale Cohomology and the Weil conjectures
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Algebraic Geometry – Schemes 1 代数几何 — 概形 1
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Abelian Varieties 阿贝尔簇
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Introduction to Shimura varieties
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Introduction to stacks and moduli
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Lie Groups and Lie Algebras 李群和李代数
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【厦门大学数论短课】Introduction to modular form
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Quiver moduli and applications
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【乌普萨拉大学】Category O BGG范畴
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Nonlinear algebra 非线性代数
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【HSE】Introduction to Functional Analysis 2 Operator Theory 泛函分析2：算子理论
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∞-categories and Higher Algebra
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Birch Swinnerton-Dyer conjecture BSD猜想
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perverse sheaves 反常层 (偏屈层)
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【IHES】Higher order Fourier analysis and gap between primes
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Birational geometry of algebraic varieties 双有理几何
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Introduction to A-infinity structures
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【Math Talks】p-adic numbers p进数
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【IAS】Representation Theory & Categorification 表示论与范畴化
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p-adic Galois representations
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Arithmetic Geometry and Quantum Field Theory
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【UC Berkeley】R i c c i F l o w
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Galois Theory 伽罗瓦理论
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An introduction to Gromov-Witten invariants and quantum cohomology
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Introduction to Category Theory 范畴论简介
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Some recent developments in p-adic motivic cohomology
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【HSE】Introduction to Functional Analysis 泛函分析
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Tropical Geometry 热带几何
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A gentle introduction to Floer theory in symplectic geometry
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Ricci flow and its applications to 3-manifold topology
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Representations of classical groups and related topics
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The Ricci flow and its applications
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【Arizona 2021】A friendly introduction to the theory of modular forms
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【厦门大学Fano Varieties暑校】The existence of complements for Fano type varieties
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Seminar on A1-topology, motives and K-theory
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Moduli spaces of parabolic connections, parabolic bundles and Geometric Langland
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Lectures on geometric Langlands 几何朗兰兹
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Elliptic Curves 椭圆曲线
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Selmer group heuristics and sieves by Bjorn Poonen
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【MSRI】Ricci Flow by Bennett Chow