V
主页
京东 11.11 红包
Jacob Lurie - A Gentle Approach to Crystalline Cohomology
发布人
https://youtu.be/FFH5HSbfcdg Members’ Colloquium Topic: A Gentle Approach to Crystalline Cohomology Speaker: Jacob Lurie Affiliation: Professor, School of Mathematics Date: February 28, 2022 Let X be a smooth affine algebraic variety over the field C of complex numbers (that is, a smooth submanifold of C^n which can be described as the solutions to a system of polynomial equations). Grothendieck showed that the de Rham cohomology of X can be computed using only polynomial differential forms on X. This observation was the starting point for the theory of algebraic de Rham cohomology, which has proved to be a useful invariant for algebraic varieties over an arbitrary field k. In the case where k has positive characteristic, Berthelot and Grothendieck introduced a refinement of algebraic de Rham cohomology, known as crystalline cohomology. Later work of Bloch, Deligne, and Illusie showed that crystalline cohomology could be computed using an explicit chain complex, called the de Rham-Witt complex. In this talk, I'll give an overview of some of these ideas and sketch an alternative construction of the de Rham-Witt complex (joint work with Bhargav Bhatt and Akhil Mathew).
打开封面
下载高清视频
观看高清视频
视频下载器
Jacob Lurie - 什么是... 𝘱进几何?
Jacob Lurie - 李代数和同伦论
【数学纪录片】Alexander Grothendieck, 天才的旅途
Jacob Lurie - Abstract Algebra in Homotopy-Coherent Mathematics
【K理论仙境】从负数到K理论
Dustin Clausen - 4/4 Three perspectives on Deligne cohomology
Johannes Anschütz - 1/4 Introduction to Prismatic Cohomology
E. Hellmann - The finite slope part of overconvergent cohomology & coherent
Johannes Anschütz - 4/4 Introduction to Prismatic Cohomology
Johannes Anschütz - 3/4 Introduction to Prismatic Cohomology
Elden Elmanto - 2/3 On the Motivic Cohomology of Schemes
Jacob Lurie - 扩展拓扑场论的分类
Will Sawin - 1/6 函数域上的数论
Hillel Furstenberg - 为什么我选择了数学
Daniel Berwick-Evans - Supersymmetric field theories and elliptic cohomology
[SAG4] Felix Cherubini - Cohomology I
[NTWS073] Vitaly Bergelson - A "soft" dynamical approach to the Prime Number ...
[SAG3] Felix Cherubini - Cohomology I.5
Dustin Clausen - 2/4 Three perspectives on Deligne cohomology
James Borger - 上同调的几何进路 (geometric approach), 第一部分
Paul Dancstep - 什么是范畴论？数学的数学
Terence Tao 陶哲轩 - 1/4 Small gaps between primes
Emily Riehl - 数学家，音乐家，教育者
Achim Krausen - Prismatic Cohomology Relative Delta-Rings
Sam McCrosson - Exodromy
Askold Khovanskii - Topological Galois Theory
[TeXmacs实例] Vincent Douce - TeXmacs个人快捷键
Thierry Coquand - 归纳定义与构造主义数学
Graham Manuell - 1/5 无点拓扑与构造主义数学
T. Szamuely - Grothendieck和Galois理论
David Hansen - 3/3 GLₙ 的范畴局部朗兰兹
Laurent Lafforgue - 拓扑斯理论 AI 的草图
Alexander Efimov - 4/6 Dualizable categories and localizing motives
Jack Davies - TMF, or: how I learned to stop worrying and love spectral alg...
Peter Haine - 同伦论与代数几何的互动
Raphaël Rouquier - 几何表示论作为表示论几何学
[RH Saga] 广义黎曼猜想｜ 黎曼猜想传奇 S1E3
Jean-Pierre SERRE - Valeurs de caractères
João Lourenço - Towards Bezrukavnikov via p-adic central sheaves
Alexander Efimov - 3/6 Dualizable categories and localizing motives
