Snigdhayan Mahanta: Bivariant homology theories for noncommutative spaces
Familiar examples of bivariant homology theories include KK-theory and local cyclic homology. There is another one called noncommutative stable homotopy that is a universal example is a certain sense. They are defined on the category of noncommutative pointed compact spaces (or C*-algebras
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Masoud Khalkhali Introduction to non commutative geometry 4
The lecture was held within the framework of the Hausdorff Trimester Program Non-commutative Geometry and its Applications. 12.9.2014
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
What are Non-Separable Graphs? | Graph Theory
What are non-separable graphs? To understand non-separable graphs, we need to understand cut vertices. A vertex of a graph is a cut vertex if deleting it disconnects the graph or the component the vertex belongs to. Here is my lesson on cut vertices: https://www.youtube.com/watch?v=D1nYRg
From playlist Graph Theory
Anton Savin: Index problem for elliptic operators associated with group actions and ncg
Given a group action on a manifold, there is an associated class of operators represented as linear combinations of differential operators and shift operators along the orbits. Operators of this form appear in noncommutative geometry and mathematical physics when describing nonlocal phenom
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Sergey Shadrin: Arnold's trinity of algebraic 2d gravitation theories
Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: “Arnold’s trinities” refers to a metamathematical observation of Vladimir Arnold that many interesting mathematical concepts and theories occur in triples, with some
From playlist Noncommutative geometry meets topological recursion 2021
Masoud Khalkhali: Introduction to non commutative geometry 3
The lecture was held within the framework of the Hausdorff Trimester Program Non-commutative Geometry and its Applications. 11.9.2014
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
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"
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"
Rainer Verch: Linear hyperbolic PDEs with non-commutative time
Motivated by wave or Dirac equations on noncommutative deformations of Minkowski space, linear integro-differential equations of the form (D + sW) f = 0 are studied, where D is a normal or prenormal hyperbolic differential operator on Minkowski spacetime, s is a coupling constant, and W i
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Axel de Goursac: Noncommutative Supergeometry and Quantum Field Theory
In this talk, we present the philosophy and the basic concepts of Noncommutative Supergeometry, i.e. Hilbert superspaces, C*-superalgebras and quantum supergroups. Then, we give examples of these structures coming from deformation quantization and we expose an application to renormalizable
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Joakim Arnlind: Noncommutative Minimal Surfaces
We introduce a concept of noncommutative minimal surfaces in the Weyl algebra, and show that one may prove a noncommutative analogue of Weierstrass’ representation theorem. This result enables us to provide a multitude of explicit examples, appearing as analogues of classical minimal surfa
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Piotr M. Hajac: Braided noncommutative join construction
We construct the join of noncommutative Galois objects (quantum torsors) over a Hopf algebra H. To ensure that the join algebra enjoys the natural (diagonal) coaction of H, we braid the tensor product of the Galois objects. Then we show that this coaction is principal. Our examples are bui
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Ben Webster - Representation theory of symplectic singularities
Research lecture at the Worldwide Center of Mathematics
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
Franz Luef: Noncommutative geometry and time-frequency analysis
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 30 years of wavelets
Joachim Zacharias: Noncommutative covering dimension for C*-algebras and dynamical systems
(in collaboration with Hirshberg, Szabo, Winter, Wu) Various noncommutative generalisations of dimension have been considered and studies in the past decades. In recent years certain new dimension concepts for noncommutative C*-algebras, called nuclear dimension and a related dimension co
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Non-Euclidean geometry | Math History | NJ Wildberger
The development of non-Euclidean geometry is often presented as a high point of 19th century mathematics. The real story is more complicated, tinged with sadness, confusion and orthodoxy, that is reflected even the geometry studied today. The important insights of Gauss, Lobachevsky and Bo
From playlist MathHistory: A course in the History of Mathematics