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Hilbert manifold

In mathematics, a Hilbert manifold is a manifold modeled on Hilbert spaces. Thus it is a separable Hausdorff space in which each point has a neighbourhood homeomorphic to an infinite dimensional Hilbert space. The concept of a Hilbert manifold provides a possibility of extending the theory of manifolds to infinite-dimensional setting. Analogously to the finite-dimensional situation, one can define a differentiable Hilbert manifold by considering a maximal atlas in which the transition maps are differentiable. (Wikipedia).

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Hilbert Curve

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/2toQ.

From playlist 3D printing

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Anthony Licata: Hilbert Schemes Lecture 7

SMRI Seminar Series: 'Hilbert Schemes' Lecture 7 Kleinian singularities 2 Anthony Licata (Australian National University) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way that is accessible to PhD students inter

From playlist SMRI Course: Hilbert Schemes

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Joshua Ciappara: Hilbert Schemes Lecture 10

SMRI Seminar Series: 'Hilbert Schemes' Lecture 10 Representations of Heisenberg algebras on homology of Hilbert schemes Joshua Ciappara (University of Sydney) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way tha

From playlist SMRI Course: Hilbert Schemes

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MAST30026 Lecture 20: Hilbert space (Part 3)

I prove that L^2 spaces are Hilbert spaces. Lecture notes: http://therisingsea.org/notes/mast30026/lecture20.pdf The class webpage: http://therisingsea.org/post/mast30026/ Have questions? I hold free public online office hours for this class, every week, all year. Drop in and say Hi! For

From playlist MAST30026 Metric and Hilbert spaces

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What is a Manifold? Lesson 10: Tangent Space - Basis Vectors

What is a Manifold? Lesson 10: Tangent Space - Basis Vectors

From playlist What is a Manifold?

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Hilbert Spaces part 2

Lecture with Ole Christensen. Kapitler: 00:00 - Def: Hilbert Space; 05:00 - New Example Of A Hilbert Space; 15:15 - Operators On Hilbert Spaces; 20:00 - Example 1; 24:00 - Example 2; 38:30 - Riesz Representation Theorem; 43:00 - Concerning Physics;

From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math

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Anthony Henderson: Hilbert Schemes Lecture 9

SMRI Seminar Series: 'Hilbert Schemes' Lecture 9 Correspondences in homology Anthony Henderson (University of Sydney) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way that is accessible to PhD students intereste

From playlist SMRI Course: Hilbert Schemes

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Anthony Henderson: Hilbert Schemes Lecture 1

SMRI Seminar Series: 'Hilbert Schemes' Lecture 1 Introduction Anthony Henderson (University of Sydney) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way that is accessible to PhD students interested in representa

From playlist SMRI Course: Hilbert Schemes

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John Pardon: Totally disconnected groups (not) acting on three-manifolds

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 Geometry

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Ekaterina Amerik: Rational curves and contraction loci on holomorphic symplectic manifolds

VIRTUAL LECTURE RECORDED DURING SOCIAL DISTANCING Recording during the meeting "Varieties with Trivial Canonical Class " the April 06, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by

From playlist Virtual Conference

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Jacob Lurie: A Riemann-Hilbert Correspondence in p-adic Geometry Part 1

At the start of the 20th century, David Hilbert asked which representations can arise by studying the monodromy of Fuchsian equations. This question was the starting point for a beautiful circle of ideas relating the topology of a complex algebraic variety X to the study of algebraic diffe

From playlist Felix Klein Lectures 2022

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Dror Varolin - Minicourse - Lecture 2

Dror Varolin Variations of Holomorphic Hilbert spaces Traditional complex analysis focuses on a single space, like a domain in Euclidean space, or more generally a complex manifold, and studies holomorphic maps on that space, into some target space. The typical target space for a domain i

From playlist Maryland Analysis and Geometry Atelier

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Summing Over Bordisms In 2d TQFT - Greg Moore

Black Holes and Qubits Meeting Topic: Summing Over Bordisms In 2d TQFT Speaker: Greg Moore Affiliation: Rutgers University Date: March 24, 2022 Some recent work in the quantum gravity literature has considered what happens when the amplitudes of a TQFT are summed over the bordisms betwee

From playlist Natural Sciences

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Brent Pym: Holomorphic Poisson structures - lecture 3

The notion of a Poisson manifold originated in mathematical physics, where it is used to describe the equations of motion of classical mechanical systems, but it is nowadays connected with many different parts of mathematics. A key feature of any Poisson manifold is that it carries a cano

From playlist Virtual Conference

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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"

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Navigating the Hilbert Space with Models by G. Baskaran

DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental

From playlist Novel Phases of Quantum Matter 2019

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The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem - Karen Uhlenbeck

Members' Seminar Topic: The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem Speaker: Karen Uhlenbeck Affiliation: The University of Texas at Austin; Distinguished Visiting Professor, School of Mathematics Date: April 6, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Emily Cliff: Hilbert Schemes Lecture 6

SMRI Seminar Series: 'Hilbert Schemes' Lecture 6 GIT stability, quiver representations, & Hilbert schemes Emily Cliff (University of Sydney) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way that is accessible to

From playlist SMRI Course: Hilbert Schemes

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