In noncommutative geometry, the JLO cocycle is a cocycle (and thus defines a cohomology class) in entire cyclic cohomology. It is a non-commutative version of the classic Chern character of the conventional differential geometry. In noncommutative geometry, the concept of a manifold is replaced by a noncommutative algebra of "functions" on the putative noncommutative space. The cyclic cohomology of the algebra contains the information about the topology of that noncommutative space, very much as the de Rham cohomology contains the information about the topology of a conventional manifold. The JLO cocycle is associated with a metric structure of non-commutative differential geometry known as a -summable spectral triple (also known as a -summable Fredholm module). (Wikipedia).
JS.Geo- Real Time GeoJSON APIs
By, Jason Denizac Help us caption & translate this video! http://amara.org/v/FS0w/
From playlist JS.Geo
jQuery Conference SF 2012 jQuery Foundation Keynote by Richard D. Worth
An overview of the changes to the organization of the jQuery Project. Help us caption & translate this video! http://amara.org/v/FGiA/
From playlist jQuery Conference 2012 - San Francisco
Homemade 3D Hologram Projector - Turn your Smartphone into a 3D Hologram, Amazing!
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From playlist Home Science Videos - Cool Science Experiments
Michael Baake: A cocycle approach to the Fourier transform of Rauzy fractals...
"A cocycle approach to the Fourier transform of Rauzy fractals and the point spectrumof Pisot inflation tilings" The lecture was held within the framework of the Hausdorff Trimester Program "Dynamics: Topology and Numbers": Conference on “Transfer operators in number theory and quantum ch
From playlist Conference: Transfer operators in number theory and quantum chaos
Proper base change continued, compactly supported cohomology, cohomology with supports, Gysin sequences and purity
From playlist Étale cohomology and the Weil conjectures
JS.Geo- Creating 3D web maps with Cesium
By, Patrick Cozzi Help us caption & translate this video! http://amara.org/v/FS1A/
From playlist JS.Geo
Eisenstein cocycles in motivic cohomology - Romyar Sharif
Joint Columbia-CUNY-NYU Number Theory Seminar Topic: Eisenstein cocycles in motivic cohomology Speaker: Romyar Sharif Affiliation: UCLA Date: April 1, 2021
From playlist Joint Columbia-CUNY-NYU Number Theory Seminar
Black Hole Coarse Graining, Connes-Cocycle Flow, and Its Bulk Dual - Raphael Bousso
Workshop on Qubits and Spacetime Topic: Black Hole Coarse Graining, Connes-Cocycle Flow, and Its Bulk Dual Speaker: Raphael Bousso Date: December 3, 2019 For more video please visit http://video.ias.edu
From playlist Natural Sciences
Why ‘A Star Is Born’ Has Been Remade Five Times | History
Learn about the long Hollywood history of the oft-remade film "A Star Is Born". #HistoryChannel #AStarIsBorn Subscribe for more HISTORY: http://histv.co/SubscribeHistoryYT Check out exclusive HISTORY content: Website - http://www.history.com /posts Facebook - https://www.facebook.com/Hist
From playlist Examine the Past | History
Rudy Rodsphon: An equivariant index theorem for hypoelliptic operators
We give an equivariant index theorem in the framework of Heisenberg calculus for foliations, using zeta functions and excision in cyclic cohomology. In particular, this approach leads to a new proof of the trans- verse index theorem of Connes and Moscovici, in which we obtain directly a ch
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Extension by zero, compactly supported cohomology, beginning of proper base change
From playlist Étale cohomology and the Weil conjectures
GeoGebra 3D Calculator: When to Use?
GeoGebra 3D Calculator is one of the five apps in Calculator Suite. https://www.geogebra.org/calculator
From playlist GeoGebra Apps Intro: Which to USE?
1% Cocycles and Finding Vertices of SquaresSarah Peluse
Short Talks by Postdoctoral Members Topic: 1% Cocycles and Finding Vertices of Squares Speaker: Sarah Peluse Affiliation: Institute for Advanced Study and Princeton University; Veblen Research Instructor, School of Mathematics Date: September 29, 2020 For more video please visit http://v
From playlist Mathematics
Twisted Cocycles = (Vector Bundles + Sections of Vector Bundles)
A Trick: If J is a torsor under a vector bundle T then it turns out that the class of J in H^1(X,T) actually correspond to a class in H^1(X, GG^r_a \rtimes GL_r). This is part 1 of 2 of some videos that explain this. Here we just show how to convert cocycle. The second part we introduce th
From playlist Fiber bundles
Paolo Piazza: Proper actions of Lie groups and numeric invariants of Dirac operators
HYBRID EVENT shall explain how to define and investigate primary and secondary invariants of G-invariant Dirac operators on a cocompact G-proper manifold, with G a connected real reductive Lie group. This involves cyclic cohomology and Ktheory. After treating the case of cyclic cocycles a
From playlist Lie Theory and Generalizations
This levitron manufactured by my friend İzzet Özgöçmen. We enjoyed playing with it.
From playlist Izzet Özgöçmen