Noncommutative geometry

Noncommutative residue

In mathematics, noncommutative residue, defined independently by M. and , is a certain trace on the algebra of pseudodifferential operators on a compact differentiable manifold that is expressed via a local density. In the case of the circle, the noncommutative residue had been studied earlier by M. and Y. in the context of one-dimensional integrable systems. (Wikipedia).

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What are removable and non-removable discontinuties

👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cance

From playlist Find the Asymptotes of Rational Functions

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Learn how to identify the discontinuities as removable or non removable

👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cance

From playlist Find the Asymptotes of Rational Functions

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Removable or Nonremovable Discontinuity Example with Absolute Value

Removable or Nonremovable Discontinuity Example with Absolute Value

From playlist Calculus 1 Exam 1 Playlist

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Determining the non removable holes of a rational function

👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cance

From playlist Find the Asymptotes of Rational Functions

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Label the discontinuity of a rational functions with coefficients

👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cance

From playlist Find the Asymptotes of Rational Functions

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Discontinuities and domain of rational functions

👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cance

From playlist Find the Asymptotes of Rational Functions

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Sylvie Paycha: Traces on the noncommutative torus

The global symbol calculus for pseudodifferential operators on tori can be generalised to noncommutative tori. In this global approach, the quantisation map is invertible and traces are discrete sums. On the noncommutative torus, Fathizadeh and Wong had characterised the Wodzicki residue a

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

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Masoud Khalkhali: Curvature of the determinant line bundle for noncommutative tori

I shall first survey recent progress in understanding differential and conformal geometry of curved noncommutative tori. This is based on work of Connes-Tretkoff, Connes-Moscovici, and Fathizadeh and myself. Among other results I shall recall the computation of spectral invariants, includi

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

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Bertrand Eynard: (Mixed) topological recursion and the two-matrix model - Lecture 3

Mini course of the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In this series of lecture we will introduce the 2-matrix model and the issue of mixed traces, then we shall give the answers as formulas. Some formulas will be

From playlist Noncommutative geometry meets topological recursion 2021

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How to determine if discontinuities are holes or asymptotes

👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cance

From playlist Find the Asymptotes of Rational Functions

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How to determine if discontinuities are holes or asymptotes

👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cance

From playlist Find the Asymptotes of Rational Functions

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Dmytro Shklyarov: Semi-infinite Hodge structures in noncommutative geometry

Abstract: Homological mirror symmetry asserts that the connection, discovered by physicists, between a count of rational curves in a Calabi-Yau manifold and period integrals of its mirror should follow from an equivalence between the derived Fukaya category of the first manifold and the de

From playlist Algebraic and Complex Geometry

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Andrzej Sitarz: Spectral action for 3+1 geometries

I'll demonstrate a class of models, to illustrate a principle of evolution for 3-dimensional noncommutative geometries, determined exclusively by a spectral action. One particular case is a model, which allows evolution of noncommutativeness (deformation parameter) itself for a specific c

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

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Elba Garcia-Failde: Introduction to topological recursion - Lecture 3

Mini course of the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In this mini-course I will introduce the universal procedure of topological recursion, both by treating examples and by presenting the general formalism. We wi

From playlist Noncommutative geometry meets topological recursion 2021

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Bertrand Eynard: (Mixed) topological recursion and the two-matrix model - Lecture 1

Mini course of the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In this series of lecture we will introduce the 2-matrix model and the issue of mixed traces, then we shall give the answers as formulas. Some formulas will be

From playlist Noncommutative geometry meets topological recursion 2021

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Learn to identify if the discontinuity is a hole or asymptote

👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cance

From playlist Find the Asymptotes of Rational Functions

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Elba Garcia-Failde: Introduction to topological recursion - Lecture 2

Mini course of the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In this mini-course I will introduce the universal procedure of topological recursion, both by treating examples and by presenting the general formalism. We wi

From playlist Noncommutative geometry meets topological recursion 2021

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Alexander Hock: From noncommutative quantum field theory to blobbed topological recursion

Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: Scalar quantum field theory on noncommutative Moyal space can be approximated by matrix models with non-trivial covariance. One example is the Kontsevich model, which

From playlist Noncommutative geometry meets topological recursion 2021

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Raphael Ponge: Analysis on curved noncommutative tori

Talk by Raphael Ponge in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on July 22, 2020.

From playlist Global Noncommutative Geometry Seminar (Americas)

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Holes vs asymptotes which one is it?

👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cance

From playlist Find the Asymptotes of Rational Functions

Related pages

Compact space | Mathematics | Integrable system | Dixmier trace | Circle | Differentiable manifold