课程总览
长明-R
2018年08月21日 19:25

大概整理了一下所发的数学物理视频,内容顺序为:

1.中文/法语 2.杂项 3.数学(分析/动力系统/概率) 4.数学(代数/表示论) 5.数学(拓扑/几何) 6.数学(几个整体模块) 7.数学(讲座) 8.物理 9.复杂系统 10.理论计算机/数理逻辑

另外应观众老爷的建议建了个QQ群,为信息交流和资源共享用:772952122


中文/法语,除此栏外均为英语

【点集拓朴简介[中文]】【NTU】General Topology by Chen-Yu Chi av28302921

【代数拓扑】【NTU】Algebraic Topology by Chen-Yu Chi av26899716

【黎曼曲面导论】【NTU】Introduction to Riemann Surfaces by Chen-Yu Chi av26880530

【复几何】【NTU】Complex Geometry by Chen-Yu Chi av26854719

【量子场论】【NTU】QFT by Yu-tin Huang av26098460 不全

【布尔巴基讨论班】【IHP】Séminaire N. Bourbaki av21608391 法语


杂项

【数学科普系列<What is>】【BMS】student-run "What is ...?" seminars av22750727

【为Peter Scholze获菲尔兹奖的祝贺视频】Fields Medal 2018 Congratulations for Peter Scholze av28309586

【菲尔兹(Fields)奖得主简述】Fields Medal winners, an introduction av28310765


数学(分析/动力系统/概率)

【实分析】【ICTP】Real Analysis by Eva Sincich av23719934

【复分析】【ICTP】Complex Analysis by Fabio Vlacci av23721562

【偏微分方程与泛函分析】【ICTP】PDE and Functional Analysis by Giovanni Bellettini av23723180

【随机偏微分方程】【SPBU】Stochastic Partial Differential Equations by Martin Hairer av24412834


【微分方程与动力系统】【ICTP】DE and Dynamical Systems by Stefano Luzzatto av23656590

【遍历理论】【ICTP】Ergodic Theory by Stefano Luzzatto av23566426

【全纯动力系统简介】【ICTP】Introduction to holomorphic dynamics by R. Dujardin av23475608

【动力系统选讲】【IMPA】Topics in dynamical system by Marcelo Viana av24830362


【概率与统计】【AIMS】Probability & Statistics by David Spiegelhalter av23313727

【测度论】【IMPA】Measure Theory by Claudio Landim av21837810

【高等概率论】【IMPA】Probability II by Roberto Imbuzeiro av24798560

【极值与概率组合】【IMPA】Extremal and Probabilistic Combinatorics by Robert Morris av21851886

【图与其特征值】【G2S2】Graphs and their eigenvalues by Bojan Mohar av28636514

【随机平面映射】【SPBU】Random planar maps by Jean-Francois Le Gall av28634365


数学(代数/表示论)

【抽象代数】【ICTP】Abstract Algebra by Lothar Gottsche av23681311

【李群李代数,表示论与对称空间】【IMPA】Lie Groups, Representation Theory and Symmetric Spaces by Wolfgang Ziller av21853871

【李群概览】【IMSc】Short course on Lie Groups by M.S. Raghunathan av23494364

【李群的离散子群】【IMSc】Discrete subgroups of Lie groups by M.S. Raghunathan av23343765

【李超代数的表示】【SNS】Representations of Lie superalgebras by Vera Serganova av23763764

【有限W-代数,素理想与模表示】【SNS】Finite W-algebras, primitive ideals and modular representation av23770062

【线性代数群】【IMSc】Linear Algebraic Groups by K. N. Raghavan av24386555

【p-可除群】【p-adic】p-divisible group by p-adic av25231923 不全

【Witt vector】【p-adic】Witt vector by p-adic av25231058 不全

【群的上同调】【p-adic】Group cohomology by p-adic av25230019 不全

【范畴化,表示论与对称几何】【HIM】Introductory school at Bonn av22018444


数学(拓扑/几何)

【拓扑与几何】【AIMS】Topology & Geometry by Tadashi Tokieda av23313395

【拓扑学】【ICTP】Topology by Bruno Zimmermann av23761509

【代数拓扑】【ICTP】Algebraic Topology by Fernando Rodriguez Villegas av23758333

【微分几何】【ICTP】Differential Geometry by Claudio Arezzo av23673557

【微分几何】【UNSW】Differential Geometry by NJ Wildberger av25183815

【黎曼曲面】【MSRI】Riemann Surfaces by Jacob Bernstein av29371295

【Ricci曲率】【MSRI】Ricci Curvature by Aaron Naber av29346679

【非交换射影几何】【MSRI】Noncommutative Projective Geometry by Dan Rogalski av28692612

【有理齐性空间的射影几何】【Steklov】The projective geometry of rational homogeneous spaces by Laurent Manivel av24481940

【上同调有限生成】【IMSc】Cohomological finite generation by Wilberd van der Kallen av25215239

【拓扑斯】【IHES】A Crash Course in Topos Theory: The Big Picture by André JOYAL av21649142


数学(代数几何/算术/数论)

【代数几何】【ICTP】Algebraic Geometry by Lothar Gottsche av23673686

【代数几何】【Waterloo】Student Seminar of AG av21489245 中间缺少一部分

【代数几何初步】【IIT Madras】Basic Algebraic Geometry by T.E. Venkata Balaji av23386995 印度口音

【偏屈层/反常层直观简介】【SNS】An illustrated guide to perverse sheaves by Geordie Williamson av23494367

【自守形式与朗兰兹纲领】【MSRI】Automorphic Forms and the Langlands Program by Kevin Buzzard av22066171

【Artin L-series】【IMSc】 Lectures by Ram Murty av23337622

【椭圆曲线与上同调】【HIM】Elliptic cohomology and elliptic curves by Charles Rezk av22760708

【椭圆曲线,模曲线与Mazur定理】【Michigian】Course on Mazur's theorem by Andrew Snowden av24376517

【局部类域论】【IMSc】Local Class Field Theory by Denis Benois av23364802 缺少第一集

【局部类域论与曲线】【IAS/Princeton】From local CFT to the curve and V.V. by Laurent Fargues av24305923 talk

【p-adic函数与p-adic表示】【KAIST】Lectures by Yi Ouyang [欧阳毅] av24708537

【p进群的表示】【IAS】Representations of p-adic groups by Jessica Fintzen av24306159 talk

【概率数论】【IMSc】Probabilistic Number Theory by Jean-Marc Deshouillers av23337705

【解析数论导引】【IMSc】Introduction to Analytic Number Theory by Ram Murty av23313968

【从现代分析到数论】【SPBU】Travel on modern analysis and number theory by Harald Helfgott av28686662 第一集为俄语


数学(几个整体模块)

【同调镜像对称】【IAS】Lectures on Homological Mirror Symmetry by Nick Sheridan av27538676

【Fukaya范畴与镜像对称】【Columbia】Fukaya categories and mirror symmetry by Denis Auroux av29338818

【Cluster代数与镜像对称】【ICTP】Cluster algebras and Mirror Symmetry by P. Hacking av23398300

【导出范畴与模空间】【ICTP】Derived categories and moduli spaces by A. Kuznetzov av23399533

【导出范畴的稳定性条件与几何应用】【ICTP】Stability con. on derived categories and app. by A. Bay av23765273

【曲线模空间的重言环】【ICTP】Tautological rings of moduli spaces of curves by A. Pixton av23423836


【布朗运动,演化几何与熵公式】【ICTP】Lectures by A. Thalmaier av25049017

【复双曲几何】【ICTP】Complex hyperbolic geometry by J. Parker av23475610

【洛伦兹几何】【ICTP】Lorentzian geometry by T. Drumm av23475604

【离散群的极限集】【ICTP】Limit sets of discrete groups by J. Seade av23765265

【高阶Teichmuller理论简介】【ICTP】Higher Teichmuller Theory by D. Canary av24306257

【双曲曲面与Teichmuller理论】【ICTP】Hyperbolic surf. and Teichmuller th. by F. Gueritaud av23765244

【光滑群作用与刚性】【ICTP】Introduction to smooth group actions and rigidity by F. Hertz av24305798


数学(讲座)

【更高的不变量:算术几何与全局分析的交互】【Regensburg】Higher invariants av24328968

【数学建模中的同伦论 / 色同伦论中的Brauer群】【Regensburg】From [Higher Invariants] by Mike Hopkins av24325398

【Perfectoid空间与W-M猜想】【IHES】Perfectoid Spaces and the Weight-Monodromy Conjecture by Peter Scholze av27190347

【算术双曲3-流形,perfectoid空间与Galois表示】【IAS】Lectures by Peter Scholze av24329801

【局部对称空间与Galois表示】【Harvard/ICTS】Lectures by Peter Scholze av24330218

【算术函数的分布】【MSRI】Distribution of arithmetic functions in arithmetic progressions and exponential sums over finite fields by Emmanuel Kowalski av24335476

【有限域上的迹函数】【IHES】Trace functions over finite fields by Emmanuel Kowalski av27190773

【自守形式,L函数与朗兰兹猜想】【SPBU】Automorphic forms, L-functions and the Langlands conjectures by Rainer Weissau av24413592

【自避随机行走模型】【IHES】The Self-Avoiding Walk Model by Hugo Duminil-Copin av21650568

【拓扑递归,从枚举几何到可积性】【IHES】Topological Recursion, from Enumerative Geometry to Integrability by Bertrand Eynard av22486690

【刘维尔共形场论与DOZZ公式】【IHES】Liouville CFT and the DOZZ formula by Vincent Vargas av23100148

【时频局部化与应用】【IHES】Time-Frequency Localization and Appl. by Ingrid Daubechies av23100124

【群中的增长与其应用】【IHES】Growth in groups and applications by Harald Helfgott av27542277

【从PDEs到群】【SPBU】From PDEs to groups by Andrzej Zuk av24413751

【K3曲面】【SPBU】K3 surfaces and friends by Klaus Hulek av24413745

【IHES】Resurgence and Quantization by Maxim Kontsevich av22170124

【IHES】Mathematics behind massive artificial evolution and selection processes av21765032

【IHES】Partitions, quasimodular forms, and Siegel-Veech constants by Don Zagier av21765208

【IHES】Equivalence of Liouville quantum gravity and the Brownian map by Jason Miller av22167507

【IHES】Mixed Modular Motives and Modular Forms for SL_2(\Z) by Francis Brown av22703064


物理

【统计力学】【ICTP】Statistical Mechanics by A. Schadicchio & M. Masili av24714927

【物理学家的群论】【IPhT】Group Theory in a Nutshell for Physicists by Anthony Zee av21657909

【物理学家的黎曼曲面】【IPhT】Riemann Surfaces for Physicists by Bertrand Eynard av21659000

【物理学家的代数几何】【LMU】Algebraic Geometry for Physicists by Ugo Bruzzo av23339587


【辛几何与经典力学】【Hannover】Symplectic geometry and classical mechanics by Tobias Osborne av23100337

【高等量子力学】【Hannover】Advanced quantum theory by Tobias Osborne av22369841

【量子噪声与消相干】【Hannover】Theory of quantum noise and decoherence by Tobias Osborne av23093109

【量子场论】【Hannover】Quantum field theory by Tobias Osborne av22042589

【高等量子场论】【Hannover】 Advanced QFT: the theory of elementary interactions av22539126

【共形场论/CFT】【Hannover】Introduction to conformal field theory by Tobias Osborne av23313779


【量子力学与谱理论】【FAU】Lectures on Quantum Theory by Fredric Schuller av21658945

【广义相对论与引力:从数学背景到物理图景】【Linz】by Fredric Schuller av23098972

【理论物理的几何剖析】【FAU】Geometric Anatomy of Theoretical Physics by Fredric Schuller av23494366


【量子信息】【PI】Quantum Information by Daniel Gottesman av26813812

【量子场论 I】【PI】QFT I by Dan Wohns av26923073

【量子场论 II】【PI】QFT II by Francois David av26926226

【量子场论 III】【PI】QFT III by Jaume Gomis av26926283

【马尔可夫开放量子系统】【IPhT】Markovian Open Quantum Systems by Bauer Michel av21661926

【弦论】【PI】String Theory by Davide Gaiotto av26919078

【弦论与全息对偶】【MIT】String Theory and Holographic Duality by Hong Liu av26963574

【闭弦理论的几何】【IMSc】The Geometry of Closed String Theory by Roji Pius av23329562

【纽结不变量,拓扑弦与3d/3d对应】【IMSc】Lectures by Satoshi Nawata av25048154

【量子场,弦与黑洞初步】【ICTP】Quantum Fields, Strings and Black Holes by Atish Dabholkar av24852339

【黑洞的数学理论】【IHES】On the Mathematical Theory of Black Holes by Sergiu Klainerman av26098492

【渐进对称,黑洞与全息】【IPhT】Asymptotic symmetries, black holes, and holography by Monica Guica av22362367

【标准模型与味】【ICTP】The Standard Model and Flavor by Yosef Nir av24704509

【电弱相互作用标准模型】【GGI】The Standard Model of Electroweak Interactions by G. Ridolfi av24722456

【中微子】【ICTP】Neutrinos by Silvia Pascoli av24707974

【暗物质】【GGI】Dark Matter by Tracy Slatyer av24721853

【小尺度物理实验】【ICTP】Small Scale Experiments by Andrew Geraci av24706695

【量子临界与高温超导】【IPhT】Quantum criticality and high-temperature supercond. K. Efetov av28634760

【早期宇宙的物理】【ICTP】Physics of the Early Universe av24705890

【早期宇宙的宇宙学】【GGI】Early Universe Cosmology by Geraldine Servant av24790507

【图形化:从量子色动力学到宇宙学】【IPhT】Graphical insights, with applications from QCD to cosmology by John Joseph Carrasco av22364990

【多体物理的机器学习】【PI】Machine Learning for Many Body Physics av26811586

【粒子物理中的统计方法】【GGI】Statistical Methods for Particle Physics by Glen Cowan av24721890

【因果费米子系统 (统一理论)】【Regensburg】Causal Fermion Systems by Felix Finster av23423832

【超对称】【ICTP】Introduction to Supersymmetry by M. Bertolini av24788062

【局域化简介】【IHES】Introduction to localization by Francesco BENINI av27561407

【4d N=1(2)局域化】【IHES】4d N=1(2) localization by Seiji TERASHIMA & Wolfger PEELAERS av27564890

【弯曲空间上的超对称】【IHES】Curved-space supersymmetry by Guido FESTUCCIA av27562384


复杂系统

【自由意志】【Princeton】The Free Will by John Conway av24333877

【强化学习】【ICTP】Reinforcement Learning by Antonio Celani av24556796

【无监督神经网络:从理论到系统生物学】【IPhT】Unsupervised neural networks by Rémi Monasson av24835640

【生物系统中的优化,推断与学习】【ICTP】Lectures given by Thierry Mora & Aleksandra Walczak av24559442

【随机矩阵:理论与实践】【ICTP】Random Matrices: Theory and Practice by Pierpaolo Vivo av24531710

【定量细菌生理学】【ICTP】Quantitative Bacterial Physiology by Matthew Scott av24551480

【无序系统中的热力学与非均衡动力学】【ICTP】Lectures by Federico Ricci Tersenghi av24531324

【量子统计系统中的非平衡表现】【ICTP】Nonequilibrium Behavior of Quantum Statistical Systems av24789822


理论计算机/数理逻辑

【范畴论基础】【OPLSS】Category Theory Foundations by Steve Awodey av22864730

【类型论基础】【OPLSS】Type Theory Foundations by Robert Harper av22864732

【同伦类型论】【CMU】Homotopy Type Theory by Robert Harper av22861760

【直观类型论】【HIM】Intuitionistic Type Theory by Peter Dybjer av25187180

【构造代数】【HIM】Constructive Algebra by Thierry Coquand av25187058

【证明论基础】【OPLSS】Proof Theory Foundations by Frank Pfenning av22864734

【从证明中提取信息】【HIM】Extraction of Information from Proofs by Ulrich Kohlenbach av25419044

【逻辑关系】【OPLSS】Logical Relations by Amal Ahmed av23761892

【编程语言背景】【OPLSS】Lectures by Robert Harper & Dan Licata av24722641

【Coq】【OPLSS】Coq Proof Assistant by Adam Chlipala av23763561

【密码学中的数学】【IAS】Mathematics in Cryptography by Toni Bluher av24305997

【IAS】Abstract Convexity, Weak Epsilon-Nets, and Radon Number by Shay Moran av21765446

【有限与算法模型论】【Simons】Finite and Algorithmic Model Theory by Anuj Dawar av25044102

【伪随机性:基础技术】【Simons】Fundamental Techniques in Pseudorandomness by Luca Trevisan av25046701

【伪随机性:算术应用】【Simons】Arithmetic Applications of Pseudorandomness by Fernando Shao av25046891


PS:更新至视频【黎曼曲面】【MSRI】Riemann Surfaces by Jacob Bernstein av29371295