Spectral Sequences 02: Spectral Sequence of a Filtered Complex
I like Ivan Mirovic's Course notes. http://people.math.umass.edu/~mirkovic/A.COURSE.notes/3.HomologicalAlgebra/HA/2.Spring06/C.pdf Also, Ravi Vakil's Foundations of Algebraic Geometry and the Stacks Project do this well as well.
From playlist Spectral Sequences
Spectral Sequences 03: Total Complexes of Double Complexes
This video talks about the filtrations on the double complex and the induced spectral sequences. The index names here gets a little screwy. Sorry about that.
From playlist Spectral Sequences
Region between x^2+y^2 and 2x+y+1
From playlist Triple integrals
What does a triple integral represent?
â–ş My Multiple Integrals course: https://www.kristakingmath.com/multiple-integrals-course Skip to section: 0:15 // Recap of what the double integral represents 1:22 // The triple integral has two uses (volume and mass) 1:45 // How to use the triple integral to find volume 8:59 // Why the
From playlist Calculus III
Region between y=0 and y=2-sqrt(x^2+y^2)
From playlist Triple integrals
Ana Romero: Effective computation of spectral systems and relation with multi-parameter persistence
Title: Effective computation of spectral systems and their relation with multi-parameter persistence Abstract: Spectral systems are a useful tool in Computational Algebraic Topology that provide topological information on spaces with generalized filtrations over a poset and generalize the
From playlist AATRN 2022
What is the alternate in sign sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
From playlist Triple integrals
Sequential Spectra- PART 2: Preliminary Definitions
We cover one definition of sequential spectra, establish the smash tensoring and powering operations, as well as some adjunctions. Credits: nLab: https://ncatlab.org/nlab/show/Introdu... Animation library: https://github.com/3b1b/manim Music: ► Artist Attribution • Music By: "KaizanBlu"
From playlist Sequential Spectra
Koen van den Dungen: Indefinite spectral triples and foliations of spacetime
Motivated by Dirac operators on Lorentzian manifolds, we propose a new framework to deal with non-symmetric and non-elliptic operators in noncommutative geometry. We provide a definition for indefinite spectral triples, and show that these correspond bijectively with certain pairs of spect
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Lisa Glaser: A picture of a spectral triple
Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of MĂĽnster. Abstract: A compact manifold can be described through a spectral triple, consisting of a Hilbert space H, an algebra of functions A and a Dirac operator D. But what if we are g
From playlist Noncommutative geometry meets topological recursion 2021
Jord Boeijink: On globally non-trivial almost-commutative manifolds
The framework of Connes' noncommutative geometry provides a generalisation of ordinary Riemannian spin manifolds to noncommutative manifolds. Within this framework, the special case of a (globally trivial) almost-commutative manifold has been shown to describe a (classical) gauge theory ov
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Branimir Cacic:A reconstruction theorem for ConnesLandi deformations of commutative spectral tripels
We give an extension of Connes's reconstruction theorem for commutative spectral triples to so-called Connes—Landi or isospectral deformations of commutative spectral triples along the action of a compact Abelian Lie group G. We do so by proposing an abstract definition for such spectral t
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Roberta Iseppi: The BV-BRST cohomology for U(n)-gauge theories induced by finitespectral triples
Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: The Batalin–Vilkovisky (BV) formalism provides a cohomological approach for the study of gauge symmetries: given a gauge theory, by introducing extra (non-existing) f
From playlist Noncommutative geometry meets topological recursion 2021
Twisted real structures for spectral triples
Talk by Adam Magee in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on March 31, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Lisa Glaser: Truncated spectral triples on the computer
Talk by Lisa Glaser in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on February 2, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Jens Kaad: Exterior products of compact quantum metric spaces
Talk by Jens Kaad in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on November 24, 2020.
From playlist Global Noncommutative Geometry Seminar (Europe)
Roberta Iseppi: The BV construction in the setting of NCG: application to a matrix model
It is known that there exists a strong connection between noncommutative geometry and gauge-invariant theories, due to the fact that gauge theories are naturally induced by the spectral triples. Thus it is reasonable to try to insert in the setting of noncommutative geometry also procedure
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
This is a follow-up of the integral of exp(-x^2) video on blackpenredpen's channel, in case you're wondering how to get that extra factor of r in the integral. It's mathemagical! :D Here's the like to the original video: Gaussian Integral https://youtu.be/r9W8YWELXvg
From playlist Double and Triple Integrals