Algebraic geometry

Analytic space

An analytic space is a generalization of an analytic manifold that allows singularities. An analytic space is a space that is locally the same as an analytic variety. They are prominent in the study of several complex variables, but they also appear in other contexts. (Wikipedia).

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Analytic Geometry Over F_1 - Vladimir Berkovich

Vladimir Berkovich Weizmann Institute of Science March 10, 2011 I'll talk on work in progress on algebraic and analytic geometry over the field of one element F_1. This work originates in non-Archimedean analytic geometry as a result of a search for appropriate framework for so called skel

From playlist Mathematics

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Worldwide Calculus: Euclidean Space

Lecture on 'Euclidean Space' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Multivariable Spaces and Functions

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What is space?

What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:

From playlist Science Unplugged: Physics

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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

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What is spacetime?

"Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu"

From playlist Science Unplugged: Special Relativity

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What is... an elliptic curve?

In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were

From playlist An Introduction to the Arithmetic of Elliptic Curves

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Teach Astronomy - Celestial Sphere

http://www.teachastronomy.com/ The celestial sphere is an imaginary sphere surrounding the Earth onto which are projected the objects of the night sky.  There are several fixed points on the celestial sphere that are important.  The Zenith is the point directly over your head.  The Nadir i

From playlist 02. Ancient Astronomy and Celestial Phenomena

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NuSTAR in Space

NASA's newest X-ray telescope will have a lengthy structure that unfolds in space, allowing it to see high-energy objects like feeding black holes.

From playlist NuSTAR

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Vladimir Berkovich - Hodge theory for non-Archimedean analytic spaces

Correction: The affiliation of Lei Fu is Tsinghua University. In a work in progress, I defined integral “etale” cohomology and de Rham cohomology for so called bounded non-Archimedean analytic spaces over the field of formal Laurent power series with complex coefficients. The former are l

From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021

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Lue Pan - Sen theory for locally analytic representations

Let p be a prime number. The classical work of Sen attaches an operator (called the Sen operator) to every finite-dimensional continuous p-adic representation of the absolute Galois group of Q_p. We will present a generalization of this construction to locally analytic Galois representatio

From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)

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Complete Cohomology for Shimura Curves (Lecture 2) by Stefano Morra

Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last ye

From playlist Recent Developments Around P-adic Modular Forms (Online)

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F. Touzet - About the analytic classification of two dimensional neighborhoods of elliptic curves

I will investigate the analytic classification of two dimensional neighborhoods of an elliptic curve C with trivial normal bundle and discuss the existence of foliations having C as a leaf. Joint work with Frank Loray and Sergey Voronin.

From playlist Ecole d'été 2019 - Foliations and algebraic geometry

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Miroslav Englis: Analytic continuation of Toeplitz operators

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 Analysis and its Applications

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J. Bost - Techniques d’algébrisation... (Part 1)

Techniques d’algébrisation en géométrie analytique, formelle, et diophantienne II Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie formelle et

From playlist Ecole d'été 2019 - Foliations and algebraic geometry

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Lue Pan: Sen theory for locally analytic representations

HYBRID EVENT Recorded during the meeting "Franco-Asian Summer School on Arithmetic Geometry in Luminy" the June 03, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Recanzone Find this video and other talks given by worldwide mathematicia

From playlist Number Theory

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L. Meersseman - Kuranishi and Teichmüller

Abstract - Let X be a compact complex manifold. The Kuranishi space of X is an analytic space which encodes every small deformation of X. The Teichmüller space is a topological space formed by the classes of compact complex manifolds diffeomorphic to X up to biholomorphisms smoothly isotop

From playlist Ecole d'été 2019 - Foliations and algebraic geometry

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J. Bost - Techniques d’algébrisation... (Part 3)

Abstract - Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie formelle et en géométrie diophantienne. Nous mettrons l’accent sur les points commun

From playlist Ecole d'été 2019 - Foliations and algebraic geometry

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Pierre Albin : Extending the Cheeger-Müller theorem through degeneration

Abstract : Reidemeister torsion was the first topological invariant that could distinguish between spaces which were homotopy equivalent but not homeomorphic. The Cheeger-Müller theorem established that the Reidemeister torsion of a closed manifold can be computed analytically. I will repo

From playlist Topology

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Covariant Phase Space with Boundaries - Daniel Harlow

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From playlist Natural Sciences

Related pages

Analytic manifold | Scheme (mathematics) | Local property | Analytic function | Coherent sheaf | Puiseux series | Tangent space | Spectrum of a ring | Subanalytic set | Singularity (mathematics) | Sheaf (mathematics) | Oka coherence theorem