Introduction to Projective Geometry (Part 1)
The first video in a series on projective geometry. We discuss the motivation for studying projective planes, and list the axioms of affine planes.
From playlist Introduction to Projective Geometry
algebraic geometry 15 Projective space
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It introduces projective space and describes the synthetic and analytic approaches to projective geometry
From playlist Algebraic geometry I: Varieties
Duality, polarity and projective linear algebra | Differential Geometry 10 | NJ Wildberger
Projective geometry is a fundamental subject in mathematics, which remarkably is little studied by undergraduates these days. But this situation is about to change---there are just too many places where a projective point of view illuminates mathematics. We will see that differential geome
From playlist Differential Geometry
Isometry groups of the projective line (I) | Rational Geometry Math Foundations 138 | NJ Wildberger
The projective line can be given a Euclidean structure, just as the affine line can, but it is a bit more complicated. The algebraic structure of this projective line supports some symmetries. Symmetry in mathematics is often most efficiently encoded with the idea of a group--a technical t
From playlist Math Foundations
Complex surfaces 2: Minimal surfaces
This talk is part of a series about complex surfaces, and explains what minimal surfaces are. A minimial surfaces is one that cannot be obtained by blowing up a nonsingular surfaces at a point. We explain why every surface is birational to a minimal nonsingular projective surface. We disc
From playlist Algebraic geometry: extra topics
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"
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
The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine
From playlist Universal Hyperbolic Geometry
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
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"
K. Ebrahimi-Fard: An operadic derivation of twisted factorisation for operator-valued T-transform
Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: Together with Nicolas Gilliers, we have tried to understand how an operadic perspective might help to formulate a more transparent, i.e., combinatorial derivation of
From playlist Noncommutative geometry meets topological recursion 2021
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"
Categorical joins - Alex Perry
Workshop on Homological Mirror Symmetry: Methods and Structures Title: Categorical joins Speaker: Alex Perry Affiliation: Harvard Date: November 7, 2016 For more video, visit http://video.ias.edu
From playlist Mathematics
Franz Luef: The finite Heisenberg group in noncommutative geometry
Franz Luef: The finite Heisenberg group in noncommutative geometry Abstract: In this talk I would like to indicate the relevance of the finite Heisenberg group for operator algebras and noncommutative geometry. On the one hand as toy model and on the other hand in attempts to approximate
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
The circle and projective homogeneous coordinates | Universal Hyperbolic Geometry 7a | NJ Wildberger
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine
From playlist Universal Hyperbolic Geometry
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"
Noncommutative algebraic varieties, their properties and geometric realizations II - Dmitry Orlov
Homological Mirror Symmetry Topic: Noncommutative algebraic varieties, their properties and geometric realizations II Speaker: Dmitry Orlov Affiliation: Mathematical Institute, Russian Academy of Sciences; Member, School of Mathematics Date: February 3, 2017 For more video, visit http:/
From playlist Mathematics
Sophie Mikkelsen: KK-equivalence for quantum projective spaces
Global Noncommutative Geometry Seminar Europe (17 November 2021)
From playlist Global Noncommutative Geometry Seminar (Europe)
Algebraic geometry 44: Survey of curves
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives an informal survey of complex curves of small genus.
From playlist Algebraic geometry I: Varieties