In algebraic geometry, a smooth scheme over a field is a scheme which is well approximated by affine space near any point. Smoothness is one way of making precise the notion of a scheme with no singular points. A special case is the notion of a smooth variety over a field. Smooth schemes play the role in algebraic geometry of manifolds in topology. (Wikipedia).
Generalized Conway Game of Life - SmoothLife4
Oscillatory structures are also possible.
From playlist SmoothLife
Generalized Conway Game of Life - SmoothLife2
The method allows for stable structures. However stable structures and gliders at the same time are difficult to get. At least starting off the random initialisation.
From playlist SmoothLife
Smooth Transition Function in One Dimension | Smooth Transition Function Part 1
#SoME2 This video gives a detailed construction of transition function for various levels of smoothness. Sketch of proofs for 4 theorems regarding smoothness: https://kaba.hilvi.org/homepage/blog/differentiable.htm Faà di Bruno's formula: https://en.wikipedia.org/wiki/Fa%C3%A0_di_Bruno%2
From playlist Summer of Math Exposition 2 videos
Kęstutis Česnavičius - Grothendieck–Serre in the quasi-split unramified case
Correction: The affiliation of Lei Fu is Tsinghua University. The Grothendieck–Serre conjecture predicts that every generically trivial torsor under a reductive group scheme G over a regular local ring R is trivial. We settle it in the case when G is quasi-split and R is unramified. To ov
From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021
This came as a surprise. Although it looks like an example with smooth time-stepping, it is not. It is with original, simple time-stepping. I'm not exactly sure what this means. Maybe my smooth time-stepping method is superfluous.
From playlist SmoothLife
Anthony Henderson: Hilbert Schemes Lecture 2
SMRI Seminar Series: 'Hilbert Schemes' Lecture 2 H is smooth Anthony Henderson (University of Sydney) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way that is accessible to PhD students interested in representat
From playlist SMRI Course: Hilbert Schemes
Federico Binda - Triangulated Categories of Log Motives over a Field
In this talk I will sketch the construction and highlight the main properties of a new motivic category for logarithmic schemes, log smooth over a ground field k (without log structure). This construction is based on a new Grothendieck topology (called the “dividing topology”) and on the p
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Marc Hoyois: Hilbert schemes in motivic homotopy theory
29 September 2021 Abstract: Hilbert schemes of ane spaces are highly singular schemes with a complicated geometry, but they exhibit some interesting stability phenomena as the dimension of the affine space goes to infinity. I will explain a computation of the motives of these Hilbert sche
From playlist Representation theory's hidden motives (SMRI & Uni of Münster)
Algebraic groups in positive characteristic - Srimathy Srinivasan
Short talks by postdoctoral members Topic: Algebraic groups in positive characteristic Speaker: Srimathy Srinivasan Affiliation: Member, School of Mathematics Date: October 4, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Massimiliano Mella: Unirational varieties - Part 1
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
Tony Feng - 1/3 Derived Aspects of the Langlands Program
We discuss ways in which derived structures have recently emerged in connection with the Langlands correspondence, with an emphasis on derived Galois deformation rings and derived Hecke algebras. Michael Harris (Columbia Univ.) Tony Feng (MIT)
From playlist 2022 Summer School on the Langlands program
Dennis Gaitsgory - 1/4 Singular support of coherent sheaves
Singular support is an invariant that can be attached to a coherent sheaf on a derived scheme which is quasi-smooth (a.k.a. derived locally complete intersection). This invariant measures how far a given coherent sheaf is from being perfect. We will explain how the subtle difference betwee
From playlist Dennis Gaitsgory - Singular support of coherent sheaves
David Rydh. Local structure of algebraic stacks and applications
Abstract: Some natural moduli problems, such as moduli of sheaves and moduli of singular curves, give rise to stacks with infinite stabilizers that are not known to be quotient stacks. The local structure theorem states that many stacks locally look like the quotient of a scheme by the act
From playlist CORONA GS
High order path-conservative finite volume schemes for geophysical flows – M. Castro – ICM2018
Numerical Analysis and Scientific Computing | Mathematics in Science and Technology Invited Lecture 15.1 | 17.1 A review on high order well-balanced path-conservative finite volume schemes for geophysical flows Manuel Castro Abstract: In this work a general strategy to design high order
From playlist Numerical Analysis and Scientific Computing