Singularity theory | Algebraic geometry | Unsolved problems in geometry
In algebraic geometry, the problem of resolution of singularities asks whether every algebraic variety V has a resolution, a non-singular variety W with a proper birational map W→V. For varieties over fields of characteristic 0 this was proved in Hironaka (1964), while for varieties over fields of characteristic p it is an open problem in dimensions at least 4. (Wikipedia).
algebraic geometry 40 Examples of resolutions
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives some examples of resoutions of singularities, and describes an application of resolution to a problem about analytic continuation of integrals.
From playlist Algebraic geometry I: Varieties
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
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
Determine the Singular Value Decomposition of a Matrix
This video explains how to determine the singular value decomposition of a matrix.
From playlist Singular Values / Singular Value Decomposition of a Matrix
Determine the Singular Value Decomposition of a Matrix
This video explains how to determine the singular value decomposition of a matrix. https://mathispower4u.com
From playlist Singular Values / Singular Value Decomposition of a Matrix
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
Unexpected fillings, singularities, and plane curve arrangements - Laura Starkston
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Unexpected fillings, singularities, and plane curve arrangements Speaker: Laura Starkston Affiliation: University of California, Davis Date: May 07, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Lie Fu: K-theoretical and motivic hyperKähler resolution conjecture
The lecture was held within the framework of the Hausdorff Trimester Program : Workshop "K-theory in algebraic geometry and number theory"
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Noncommutative resolutions and intersection cohomology for quotient singularities - Tudor Padurariu
Short Talks by Postdoctoral Members Topic: Noncommutative resolutions and intersection cohomology for quotient singularities Speaker: Tudor Padurariu Affiliation: Member, School of Mathematics Date: September 23, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Categorical crepant resolutions of higher dimensional simple singularities
Yujiro Kawamata (University of Tokyo). Plenary Lecture from the 1st PRIMA Congress, 2009. Plenary Lecture 5. Abstract: Simple singularities in dimension 2 have crepant resolutions and satisfy the McKay correspondence. But higher dimensional generalizations do not. We propose the categoric
From playlist PRIMA2009
Tommaso de Fernex: Arc spaces and singularities in the minimal model program - Lecture 2
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
Laura Starkston: Unexpected symplectic fillings of links of rational surface singularities
HYBRID EVENT Recorded during the meeting "Milnor Fibrations, Degenerations and Deformations from Modern Perspectives" the September 09, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given
From playlist Virtual Conference
Will Donovan: Homological comparison of resolution and smoothing
Abstract: A singular space often comes equipped with (1) a resolution, given by a morphism from a smooth space, and (2) a smoothing, namely a deformation with smooth generic fibre. I will discuss work in progress on how these may be related homologically, starting with the threefold ordina
From playlist Algebra Seminars co-presented by SMRI
Anthony Henderson: Hilbert Schemes Lecture 4
SMRI Seminar Series: 'Hilbert Schemes' Lecture 4 Kleinian singularities 1 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 i
From playlist SMRI Course: Hilbert Schemes
SLT Supplemental - Seminar 4 - Resolution of singularities
This series provides supplemental mathematical background material for the seminar on Singular Learning Theory. In this seminar Kenneth Chan gives a brief introduction to resolution of singularities. The webpage for this seminar is http://metauni.org/posts/events/seminar-slt. You can joi
From playlist Metauni
Log del Pezzo surfaces of rank one by DongSeon Hwang
Algebraic Surfaces and Related Topics PROGRAM URL : http://www.icts.res.in/program/AS2015 DESCRIPTION : This is a joint program of ICTS with TIFR, Mumbai and KIAS, Seoul. The theory of surfaces has been the cradle to many powerful ideas in Algebraic Geometry. The problems in this area
From playlist Algebraic Surfaces and Related Topics
This video provides a lesson on how to solve rational inequalities. Site: http://mathispower4u.com
From playlist Solving Rational Inequalities