Diffeomorphisms | Algebraic varieties
In algebraic geometry, an exotic affine space is a complex algebraic variety that is diffeomorphic to for some n, but is not isomorphic as an algebraic variety to . An example of an exotic is the Koras–Russell cubic threefold, which is the subset of defined by the polynomial equation (Wikipedia).
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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From playlist Science Unplugged: Special Relativity
Where Is The Coldest Place In The Universe?
The Boomerang Nebula is the coldest place in the universe, colder even than deep space at -459°F. But why this regions of space is colder than space itself has remained a mystery to astronomers until very recently. ------------------------------------------------------ #Space #Universe #
From playlist Space Science
In E=MC², what is c and what is its role?
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From playlist Science Unplugged: Special Relativity
Ask the Space Lab Expert: What is Space?
Have you ever wanted to go to Space? In this first episode of Space Lab, Brad and Liam from "World of the Orange" take you on an adventure to discover exactly what is Space. You'll find out about the solar system, the big bang, Sci-Fi movies that are becoming reality, and more!
From playlist What is Space? YouTube Space Lab with Liam and Brad
What is the Universe expanding into?
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From playlist Science Unplugged: Cosmology
Hidden Dimensions: Exploring Hyperspace
Extra dimensions of space—the idea that we are immersed in hyperspace—may be key to explaining the fundamental nature of the universe. Relativity introduced time as the fourth dimension, and Einstein’s subsequent work envisioned more dimensions still--but ultimately hit a dead end. Modern
From playlist Science
What do physicists mean by dimensions of space?
The 3 dimensions of our daily experience may be obvious, but a “dimension” means something specific to physicists. Brian Greene explains that meaning. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Fac
From playlist Science Unplugged: Extra Dimensions
Clemens Koppensteiner: T-structures from categorical actions
Abstract: T-structures on derived categories of coherent sheaves are an important tool to encode both representation-theoretic and geometric information. Unfortunately there are only a limited amount of tools available for the constructions of such t-structures. We show how certain geometr
From playlist Algebraic and Complex Geometry
James Borger: The geometric approach to cohomology Part I
SMRI Seminar Course: 'The geometric approach to cohomology' Part I James Borger (Australian National University) Abstract: The aim of these two talks is to give an overview of the geometric aka stacky approach to various cohomology theories for schemes: de Rham, Hodge, crystalline and pr
From playlist SMRI Course: The geometric approach to cohomology
Exotic compact objects and their....(Course 1 - Strong field) - Lecture 1 by Andrea Maselli
ORGANIZERS : Parameswaran Ajith, K. G. Arun and Bala R. Iyer DATE : 13 August 2018 to 24 August 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore This school is part of the annual ICTS summer schools on gravitational-wave (GW) astronomy. Recent observations of GW signals from coalesci
From playlist Summer School on Gravitational-Wave Astronomy - 2018
João Lourenço: Twisted Kac-Moody groups over the integers
In geometric representation theory, one is interested in studying the geometry of affine Grassmannians of quasi-split simply-connected reductive groups. In this endeavor, one of the main techniques, introduced by Faltings in the split case, consists in constructing natural realisati
From playlist Algebraic and Complex Geometry
Dynamics on character varieties - William Goldman
Character Varieties, Dynamics and Arithmetic Topic: Dynamics on character varieties Speaker: William Goldman Affiliation: University of Maryland; Member, School of Mathematics Date: November 17, 2021 In these two talks, I will describe how the classification of locally homogeneous geomet
From playlist Mathematics
algebraic geometry 5 Affine space and the Zariski topology
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the definition of affine space and its Zariski topology.
From playlist Algebraic geometry I: Varieties
If the universe is spatially infinite, what can we say about reality...
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From playlist Science Unplugged: Cosmology
Canonical lifts in families by James Borger
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
Ahlfors-Bers 2014 "Roots of Polynomials and Parameter Spaces"
Sarah Koch (University of Michigan): In his last paper, "Entropy in Dimension One," W. Thurston completely characterized which algebraic integers arise as exp(entropy(f)), where f is a postcritically finite real map of a closed interval. On page 1 of this paper, there is a spectacular ima
From playlist The Ahlfors-Bers Colloquium 2014 at Yale
The Maths of General Relativity (8/8) - Summary and Applications
In this series, we build together the theory of general relativity. This eight and last video gives a summary of how one can solve a physics problem in general relativity. The video is then split into 3 examples, to illustrate the method. For more videos, subscribe to the YouTube channel
From playlist The Maths of General Relativity
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
Cold Storage Between Jupiter and Mars | Cosmos: A Spacetime Odyssey
Are there any mementos from when the Earth was born? ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Get More Cosmos: http://bit.ly/NG-Cosmos About Cosmos: A Spacetime Odyssey: Hosted by renowned astrophysicist Neil deGrasse Tyson, COSMOS will explore how we discovered the laws of nature and
From playlist Outer Space | National Geographic