Michael Temkin - Logarithmic geometry and resolution of singularities
Correction: The affiliation of Lei Fu is Tsinghua University. I will tell about recent developments in resolution of singularities achieved in a series of works with Abramovich and Wlodarczyk – resolution of log varieties, resolution of morphisms and a no-history (or dream) algorithm for
From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021
Schemes 26: Abstract and projective varieties
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We discuss the relation between abstract, projective, and complete varieties, and given an example found by Hironaka of a complete variety that is not projecti
From playlist Algebraic geometry II: Schemes
B28 An example problem of a linear model
Here is our first real-world linear problem.
From playlist Differential Equations
Resolution of singularities of complex algebraic varieties – D. Abramovich – ICM2018
Algebraic and Complex Geometry Invited Lecture 4.13 Resolution of singularities of complex algebraic varieties and their families Dan Abramovich Abstract: We discuss Hironaka’s theorem on resolution of singularities in charactetistic 0 as well as more recent progress, both on simplifying
From playlist Algebraic & Complex Geometry
Jaroslaw Wlodarczyk: Functorial desingularization by torus actions
HYBRID EVENT Recorded during the meeting "Faces of Singularity Theory " the November 23, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovis
From playlist Algebraic and Complex Geometry
B07 Example problem with separable variables
Solving a differential equation by separating the variables.
From playlist Differential Equations
In this video, we simplify a logarithm.
From playlist Logs - Worked Examples
Eriko Hironaka - Lehmer's Problem and Dilatations of Mapping Classes
Eriko Hironaka talks at the Worldwide Center of Mathematics "Lehmer's Problem and Dilatations of Mapping Classes"
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
algebraic geometry 35 More on blow ups
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It continues the discussion of blowing up in the previous video, with examples, of blowing up the real affine plane, blowing up an ideal, and regularizing a ration map fro
From playlist Algebraic geometry I: Varieties
Steven Kleiman - "Equisingularity of germs of isolated singularities"
Steven Kleiman delivers a research lecture at the Worldwide Center of Mathematics.
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
B06 Example problem with separable variables
Solving a differential equation by separating the variables.
From playlist Differential Equations
Resolution in characteristic 0 using weighted blowing up. - Abramovich - Workshop 2 - CEB T2 2019
Dan Abramovich (Brown University) / 28.06.2019 Resolution in characteristic 0 using weighted blowing up. Given a variety, one wants to blow up the worst singular locus, show that it gets better, and iterate until the singularities are resolved. Examples such as the whitney umbrella show
From playlist 2019 - T2 - Reinventing rational points
Schemes 25: Proper morphisms and valuations
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We describe how to test a morphism for being proper using discrete valuation rings, and use this to show that projective morphisms are proper.
From playlist Algebraic geometry II: Schemes
Fields Medal Lecture: Classification of algebraic varieties — Caucher Birkar — ICM2018
Classification of algebraic varieties Caucher Birkar Abstract: The aim of this talk is to describe the classification problem of algebraic varieties in the framework of modern birational geometry. This problem which lies at the heart of algebraic geometry has seen tremendous advances in t
From playlist Special / Prizes Lectures
