Faithfully flat descent is a technique from algebraic geometry, allowing one to draw conclusions about objects on the target of a faithfully flat morphism. Such morphisms, that are flat and surjective, are common, one example coming from an open cover. In practice, from an affine point of view, this technique allows one to prove some statement about a ring or scheme after faithfully flat base change. "Vanilla" faithfully flat descent is generally false; instead, faithfully flat descent is valid under some finiteness conditions (e.g., quasi-compact or locally of finite presentation). A faithfully flat descent is a special case of Beck's monadicity theorem. (Wikipedia).
This video follows on from the discussion on linear regression as a shallow learner ( https://www.youtube.com/watch?v=cnnCrijAVlc ) and the video on derivatives in deep learning ( https://www.youtube.com/watch?v=wiiPVB9tkBY ). This is a deeper dive into gradient descent and the use of th
From playlist Introduction to deep learning for everyone
Powered by https://www.numerise.com/ Gradient of a line segment 1
From playlist Linear sequences & straight lines
Powered by https://www.numerise.com/ C2 Differentiation (2)
From playlist Core 2 Differentiation
Gradient (2 of 3: Angle of inclination)
More resources available at www.misterwootube.com
From playlist Further Linear Relationships
Dropping Dictionaries (Still) Doesn’t Defy Gravity, Duh!
Enjoy a shorter retelling of the original! https://www.flippingphysics.com/dropping-dictionaries.html #Freefall #physics #physicseducation
From playlist Vertical Videos
Étale cohomology lecture 5 - 9/3/2020
Fppf descent part 2, intro to the category of sheaves
From playlist Étale cohomology and the Weil conjectures
Étale cohomology lecture IV - 9/1/2020
Morphisms of sites, fppf descent part 1
From playlist Étale cohomology and the Weil conjectures
Geordie Williamson: Langlands and Bezrukavnikov II Lecture 16
SMRI Seminar Series: 'Langlands correspondence and Bezrukavnikov’s equivalence' Geordie Williamson (University of Sydney) Abstract: The second part of the course focuses on affine Hecke algebras and their categorifications. Last year I discussed the local Langlands correspondence in bro
From playlist Geordie Williamson: Langlands correspondence and Bezrukavnikov’s equivalence
In this video I take a look at the slope of a curve (that is not straight line).
From playlist Biomathematics
Log Volume Computations - part 0.4 - IUT4, Proposition 1.1
This video explains how the differents/discriminants (the norm of the different is the discriminant) appear in the log volume computations. To watch this video you need the video about idempotents in inner products of fields.
From playlist Log Volume Computations
Kęstutis Česnavičius - Purity for Flat Cohomology
The absolute cohomological purity conjecture of Grothendieck proved by Gabber ensures that on regular schemes étale cohomology classes of fixed cohomological degree extend uniquely over closed subschemes of large codimension. I will discuss the corresponding phenomenon for flat cohomology.
From playlist Journée Gretchen & Barry Mazur
Étale cohomology lecture 3, August 27, 2020
Sites and sheaves, the étale and fppf site, representable functors
From playlist Étale cohomology and the Weil conjectures
Calculus 1 Lecture 2.2: Techniques of Differentiation (Finding Derivatives of Functions Easily)
https://www.patreon.com/ProfessorLeonard Calculus 1 Lecture 2.2: Techniques of Differentiation (Finding Derivatives of Functions Easily)
From playlist Calculus 1 (Full Length Videos)
Jeremy Hahn : Prismatic and syntomic cohomology of ring spectra
CONFERENCE Recording during the thematic meeting : « Chromatic Homotopy, K-Theory and Functors» the January 24, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians on CIR
From playlist Topology
Algebra 1 8.04d - Horizontal and Vertical Lines
Two special cases of the slope of a line: A horizontal line (slope = 0) and a vertical line (slope = infinity).
From playlist Algebra 1 Chapter 8 (Selected Videos)
Purity for the Brauer group of singular schemes - Česnavičius - Workshop 2 - CEB T2 2019
Kęstutis Česnavičius (Université Paris-Sud) / 27.06.2019 Purity for the Brauer group of singular schemes For regular Noetherian schemes, the cohomological Brauer group is insensitive to removing a closed subscheme of codimension ≥ 2. I will discuss the corresponding statement for scheme
From playlist 2019 - T2 - Reinventing rational points
going over and over and over the gradient and y intercept idea
From playlist 2014 9mat
Akhil Mathew - Some recent advances in syntomic cohomology (1/3)
Bhatt-Morrow-Scholze have defined integral refinements $Z_p(i)$ of the syntomic cohomology of Fontaine-Messing and Kato. These objects arise as filtered Frobenius eigenspaces of absolute prismatic cohomology and should yield a theory of "p-adic étale motivic cohomology" -- for example, the
From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)