Homological algebra | Algebraic geometry | Cohomology theories
In mathematics, crystalline cohomology is a Weil cohomology theory for schemes X over a base field k. Its values Hn(X/W) are modules over the ring W of Witt vectors over k. It was introduced by Alexander Grothendieck and developed by Pierre Berthelot. Crystalline cohomology is partly inspired by the p-adic proof in of part of the Weil conjectures and is closely related to the algebraic version of de Rham cohomology that was introduced by Grothendieck (1963). Roughly speaking, crystalline cohomology of a variety X in characteristic p is the de Rham cohomology of a smooth lift of X to characteristic 0, while de Rham cohomology of X is the crystalline cohomology reduced mod p (after taking into account higher Tors). The idea of crystalline cohomology, roughly, is to replace the Zariski open sets of a scheme by infinitesimal thickenings of Zariski open sets with divided power structures. The motivation for this is that it can then be calculated by taking a local lifting of a scheme from characteristic p to characteristic 0 and employing an appropriate version of algebraic de Rham cohomology. Crystalline cohomology only works well for smooth proper schemes. Rigid cohomology extends it to more general schemes. (Wikipedia).
What Are Allotropes of Metalloids and Metals | Properties of Matter | Chemistry | FuseSchool
What Are Allotropes of Metalloids and Metals Learn the basics about allotropes of metalloids and metals, as a part of the overall properties of matter topic. An allotrope is basically a different form of the same element, each with distinct physical and chemical properties. For example
From playlist CHEMISTRY
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Visit http://ilectureonline.com for more math and science lectures! In this video I explain the metallic crystal structure.
From playlist CHEMISTRY 16 LIQUIDS AND SOLIDS
Mod-01 Lec-8 Cohesion in Solids
Condensed Matter Physics by Prof. G. Rangarajan, Department of Physics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist NPTEL: Condensed Matter Physics - CosmoLearning.com Physics Course
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Materials are either crystalline or amorphous. They contain long-range periodic order or they do not. This leads to very different properties! Crystalline materials can be either polycrystalline or single crystal in nature. we can see evidence of single crystals in faceting of crystal face
From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020
Chemistry - Liquids and Solids (45 of 59) Crystal Structure: Covalent: Glass
Visit http://ilectureonline.com for more math and science lectures! In this video I explain the glass crystal structure and amorphous solids.
From playlist CHEMISTRY 16 LIQUIDS AND SOLIDS
Ionic Solids, Molecular Solids, Metallic Solids, Network Covalent Solids, & Atomic Solids
This chemistry video tutorial provides a basic introduction into solids. It explains how to classify a solid as ionic solids, molecular solids or atomic solids. There are 3 different types of atomic solids that you need to be familiary with - metallic solids, Group 8A solids, and network
From playlist New AP & General Chemistry Video Playlist
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From playlist Chemical Equations; Ionic and Covalent Compounds
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From playlist General Chemistry
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/science/chemistry/chemical-bonds/x822131fc:bond-energy/v/ionic-bonds-and-coulombs-law Introduction to how the strength of ionic bonds is related to Coulomb's law. Exam
From playlist Chemistry
Christian Liedtke: Crystalline cohomology, period maps, and applications to K3 surfaces
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From playlist Algebraic and Complex Geometry
B. Bhatt - Prisms and deformations of de Rham cohomology
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From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday
Lance Gurney: The geometric approach to cohomology Part II
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From playlist SMRI Course: The geometric approach to cohomology
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From playlist Mathematics
James Borger: The geometric approach to cohomology Part I
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From playlist SMRI Course: The geometric approach to cohomology
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From playlist Mathematics
Takeshi Tsuji: On p-adic étale cohomology of perverse sheaves
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Pierre Berthelot - Non characteristic finiteness theorems in crystalline cohomology
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From playlist A conference in honor of Arthur Ogus on the occasion of his 70th birthday
p-adic approaches to rational points on curves - Poonen - Lecture 3/4 - CEB T2 2019
Bjorn Poonen (Massachusetts Institute of Technology) / 08.07.2019 p-adic approaches to rational points on curves - Lecture 3/4 In these four lectures, I will describe Chabauty's p-adic method for determining the rational points on a curve whose Jacobian has rank less than the genus, hint
From playlist 2019 - T2 - Reinventing rational points
Ionic and Covalent Compounds: Writing Names and Formulas
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From playlist Chemical Equations; Ionic and Covalent Compounds
Introduction to p-adic Hodge theory (Lecture 4) by Denis Benois
PROGRAM PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France
From playlist Perfectoid Spaces 2019