Unsolved problems in mathematics | Abstract algebra | Conjectures
In algebra the Dixmier conjecture, asked by Jacques Dixmier in 1968, is the conjecture that any endomorphism of a Weyl algebra is an automorphism. in 2005, and independently and Kontsevich in 2007, showed that the Dixmier conjecture is stably equivalent to the Jacobian conjecture. (Wikipedia).
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From playlist Fall 2017
Number Theory | Linear Diophantine Equations
We explore the solvability of the linear Diophantine equation ax+by=c
From playlist Divisibility and the Euclidean Algorithm
D-varieties and the Dixmier-Moeglin equivalence - R. Moosa - Workshop 3 - CEB T1 2018
Rahim Moosa (Waterloo) / 28.03.2018 D-varieties and the Dixmier-Moeglin Equivalence About four years ago, a new application of the model theory of differentially closed fields arose. The target was the Dixmier-Moeglin equivalence problem (DME) in noncommutative affine algebras, as well a
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Divisibility, Prime Numbers, and Prime Factorization
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From playlist Mathematics (All Of It)
Alain Connes: The Music of Shapes
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From playlist Noncommutative Geometry
Ulrich Pennig: "Fell bundles, Dixmier-Douady theory and higher twists"
Actions of Tensor Categories on C*-algebras 2021 "Fell bundles, Dixmier-Douady theory and higher twists" Ulrich Pennig - Cardiff University, School of Mathematics Abstract: Classical Dixmier-Douady theory gives a full classification of C*-algebra bundles with compact operators as fibres
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Jean Pierre Labesse - L’héritage de Roger Godement
J’évoquerai tout d’abord la carrière scientifique de Roger Godement, ses goûts et son influence via ses exposés, ses cours et ses élèves. Dans une seconde partie j’exposerai l’état du travail avec Bertrand Lemaire sur la formule des traces en caractéristique positive. Ce se
From playlist Reductive groups and automorphic forms. Dedicated to the French school of automorphic forms and in memory of Roger Godement.
Introduction to Solving Linear Diophantine Equations Using Congruence
This video defines a linear Diophantine equation and explains how to solve a linear Diophantine equation using congruence. mathispower4u.com
From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)
[BOURBAKI 2019] La C*-simplicité - Raum - 19/01/19 - 2/4
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From playlist BOURBAKI - 2019
Definably simple groups in valued fields - D. Macpherson - Workshop 3 - CEB T1 2018
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From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
This video covers the divisibility rules for 2,3,4,5,6,8,9,and 10. http://mathispower4u.yolasite.com/
From playlist Factors, Prime Factors, and Least Common Factors
Title: The Dixmier-Moeglin Problem for D-Varieties May 2016 Kolchin Seminar Workshop
From playlist May 2016 Kolchin Seminar Workshop
A Complete Dichotomy Rises from the Capture of Vanishing Signatures - Jin-Yi Cai
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Yuri Matiyasevich - On Hilbert's 10th Problem [2000]
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From playlist L. Number Theory
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What is the Riemann Hypothesis?
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From playlist Mathematics
Invariant hypersurfaces We study an extension of a theorem of Cantat, which says that if $\phi:X \rightarrow X$ is adominant rational self-map then the number of totally invariant hypersurfaces $C$ (that is, hyper-surfaces for which $\phi^{-1}(C)=C$) is finite unless $\phi\circ f=\phi$ f
From playlist DART X
Bourbaki, les années 1945-75 - Jean-Pierre Serre, Pierre Cartier, Jacques Dixmier & Alain Connes
Jean-Pierre Serre, Pierre Cartier et Jacques Dixmier reviennent sur l'âge d'or du groupe Bourbaki. Discussion animée par Alain Connes.
From playlist Math History
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We present some basics of divisibility from elementary number theory.
From playlist Divisibility and the Euclidean Algorithm