Singularity theory | Algebraic geometry

Milnor number

In mathematics, and particularly singularity theory, the Milnor number, named after John Milnor, is an invariant of a function germ. If f is a complex-valued holomorphic function germ then the Milnor number of f, denoted μ(f), is either a nonnegative integer, or is infinite. It can be considered both a geometric invariant and an algebraic invariant. This is why it plays an important role in algebraic geometry and singularity theory. (Wikipedia).

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1,010,010,101,000,011 - #MegaFavNumbers

This is my submission to the #megafavnumbers project. My number is 1010010101000011, which is prime in bases 2, 3, 4, 5, 6 and 10. I've open-sourced my code: https://bitbucket.org/Bip901/multibase-primes Clarification: by "ignoring 1" I mean ignoring base 1, since this number cannot be fo

From playlist MegaFavNumbers

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MegaFavNumbers: RSA-2048

My own choice for a number over 1,000,000 is this 617 digit boy: 251959084756578934940271832400483985714292821262040320277771378360436620207075955562640185258807844069182906412495150821892985591491761845028084891200728449926873928072877767359714183472702618963750149718246911650776133798590

From playlist MegaFavNumbers

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142,857 #MegaFavNumbers

#MegaFavNumbers This is the first YouTube video I have ever made and so hopefully the link works

From playlist MegaFavNumbers

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My #MegaFavNumber - The Bremner-Macleod Numbers

Much better video here: https://youtu.be/Ct3lCfgJV_A

From playlist MegaFavNumbers

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MegaFavNumbers: All you need to go Mega is just 3 bytes

Joining the maths #MegaFavNumbers thing just because I like it. My favourity number of over 1 million is a number I remember ever since I was a child. It is used often and well known. Watch to find out why. 16777216

From playlist MegaFavNumbers

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#MegaFavNumbers - 6086555670238378989670371734243169622657830773351885970528324860512791691264

Hey, it's free publicity and I do have an interest in numbers. Besides, since when have I ever had a consistent theme on this channel? #MegaFavNumbers

From playlist MegaFavNumbers

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José Seade: Indices of vector fields on singular varieties and the Milnor number

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

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Graham Denham: Milnor fibres of hyperplane arrangements

The Milnor fibration of a complex, projective hypersurface produces a smooth manifold as a regular, cyclic cover of the hypersurface complement. When the hypersurface is a union of complex hyperplanes, the Milnor fibre is part of the study of hyperplane arrangements. In this case, the hype

From playlist Center of Math Research: the Worldwide Lecture Seminar Series

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MegaFavNumbers: 1.5 Billion

#MegaFavNumbers What’s your Mega Favourite Number?

From playlist MegaFavNumbers

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Hans Henrik RUGH - The Milnor-Thurston determinant and the Ruelle transfer operator

The topological entropy htop of a continuous piecewise monotone interval map measures the exponential growth in the number of monotonicity intervals for iterates of the map. Milnor and Thurston showed that exp(-htop) is the smallest zero of an analytic function, now coined the Milnor-Thurs

From playlist Ruelle-Fest : avancées récentes en théorie des systèmes dynamiques

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Marc Levine: Refined enumerative geometry (Lecture 1)

The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Marc Levine: Refined enumerative geometry Abstract: Lecture 1: Milnor-Witt sheaves, motivic homotopy theory and Chow-Witt groups We review the Hoplins-Morel construction of the Miln

From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"

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#MegaFavNumbers: 10,904,493,600 & Fibonacci Numbers

This is my #MegaFavNumber. Link to all the #MegaFavNumbers Videos: https://www.youtube.com/watch?v=R2eQVqdUQLI&list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo Channel Links: Website: https://sites.google.com/view/pentamath Channel: https://www.youtube.com/channel/UCervsuIC9pv4eQq98hAgOZA Subscri

From playlist MegaFavNumbers

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Michael Hopkins: Bernoulli numbers, homotopy groups, and Milnor

Abstract: In his address at the 1958 International Congress of Mathematicians Milnor described his joint work with Kervaire, relating Bernoulli numbers, homotopy groups, and the theory of manifolds. These ideas soon led them to one of the most remarkable formulas in mathematics, relating f

From playlist Abel Lectures

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Homogeneous spaces, algebraic K-theory and cohomological(...) - Izquierdo - Workshop 2 - CEB T2 2019

Diego Izquierdo (MPIM Bonn) / 24.06.2019 Homogeneous spaces, algebraic K-theory and cohomological dimension of fields. In 1986, Kato and Kuzumaki stated a set of conjectures which aimed at giving a Diophantine characterization of the cohomological dimension of fields in terms of Milnor

From playlist 2019 - T2 - Reinventing rational points

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Geometry of Growth and Form: Commentary on D'Arcy Thompson | John Milnor

John Milnor, Co-Director of the Institute for Mathematical Sciences at Stony Brook University http://www.math.sunysb.edu/~jack September 24, 2010 In this lecture, John Milnor, Co-Director of the Institute for Mathematical Sciences at Stony Brook University and a former member of the Facul

From playlist Mathematics

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Étienne Ghys: A guided tour of the seventh dimension

Abstract: One of the most amazing discoveries of John Milnor is an exotic sphere in dimension 7. For the layman, a sphere of dimension 7 may not only look exotic but even esoteric... It took a long time for mathematicians to gradually accept the existence of geometries in dimensions higher

From playlist Abel Lectures

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John Milnor: Spheres

This lecture was held by Abel Laureate John Milnor at The University of Oslo, May 25, 2011 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2011 1. "Spheres" by Abel Laureate John Milnor, Institute for Mathematical

From playlist Abel Lectures

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#MegaFavNumbers - 7,588,043,387,109,376 by Egi

87,109,376^2=7,588,043,387,109,376. The last 8 digits is the square root😀, it's called an automorphic number which n^2 ends with n

From playlist MegaFavNumbers

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Hadamard's lemma | Homotopy | Invariant (mathematics) | Gradient | Germ (mathematics) | Singular point of an algebraic variety | Rose (topology) | Betti number | Hilbert's Nullstellensatz | Domain of a function | Wedge sum | Morse theory | A-equivalence | Determinant | Neighbourhood (mathematics) | Isolated singularity | Equivalence class | Homology (mathematics) | Integer | Diffeomorphism | Algebraic geometry | Power series | Infinity | Ring (mathematics) | Hessian matrix | Unfolding (functions) | Holomorphic function | Basis (linear algebra) | Perturbation theory | Abstract algebra | Differential geometry | Degree of a continuous mapping | Milnor map | Range of a function | Singularity theory