In mathematics, in the theory of discrete groups, superrigidity is a concept designed to show how a linear representation ρ of a discrete group Γ inside an algebraic group G can, under some circumstances, be as good as a representation of G itself. That this phenomenon happens for certain broadly defined classes of lattices inside semisimple groups was the discovery of Grigory Margulis, who proved some fundamental results in this direction. There is more than one result that goes by the name of Margulis superrigidity. One simplified statement is this: take G to be a simply connected semisimple real algebraic group in GLn, such that the Lie group of its real points has real rank at least 2 and no compact factors. Suppose Γ is an irreducible lattice in G. For a local field F and ρ a linear representation of the lattice Γ of the Lie group, into GLn (F), assume the image ρ(Γ) is not relatively compact (in the topology arising from F) and such that its closure in the Zariski topology is connected. Then F is the real numbers or the complex numbers, and there is a rational representation of G giving rise to ρ by restriction. (Wikipedia).
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From playlist Planets and Moons
If you rotate a bowling ball, it looks the same even though it's been "transformed". We say that the bowling ball exhibits "rotational symmetry". The particles making up the universe exhibit related kinds of symmetries, in which the particles are transformed but the equations describing th
From playlist Science Unplugged: Supersymmetry
The Cognitive Basis of Superstition and Belief in the Supernatural
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From playlist Psychology
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From playlist News | National Geographic
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From playlist Science Unplugged: Supersymmetry
Fumiaki Suzuki - Birational rigidity of complete intersections
May 8, 2016 - Princeton University This talk was part of the Princeton-Tokyo Algebraic Geometry Conference Given a nearly rational variety (e.g. rationally connected variety, Fano variety or Mori fiber space), one of the most effective ways to prove its non-rationality is proving its bira
From playlist Princeton-Tokyo Algebraic Geometry Conference
In this video, Fermilab's Dr. Don Lincoln describes the principle of supersymmetry in an easy-to-understand way. A theory is supersymmetric if it treats forces and matter on an equal footing. While supersymmetry is an unproven idea, it is popular with particle physics researchers as a po
From playlist Speculative Physics
Rigidity for von Neumann algebras – Adrian Ioana – ICM2018
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From playlist Analysis & Operator Algebras
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From playlist Metacognition
Is there any evidence that supersymmetry exists, or is it purely theoretical?
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From playlist Science Unplugged: Supersymmetry
The Map of Superconductivity poster is available here: https://store.dftba.com/collections/domain-of-science/products/map-of-superconductivity-poster Superconductivity is a fascinating property exhibited by many materials when they are cooled down to cryogenic temperatures to below a certa
From playlist Map Videos - Domain of Science
Super-rigidity and bifurcations of embedded curves in Calabi-Yau 3-folds - Mohan Swaminathan
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From playlist Mathematics
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From playlist Gregory Margulis
Camille Horbez: Measure equivalence and right-angled Artin groups
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From playlist Geometry
Stefaan Vaes, Superrigidity for dense subgroups of Lie groups and their actions on homogeneous space
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From playlist Global Noncommutative Geometry Seminar (Europe)
Uri Bader - 1/4 Algebraic Representations of Ergodic Actions
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From playlist Uri Bader - Algebraic Representations of Ergodic Actions
Uri Bader - 2/4 Algebraic Representations of Ergodic Actions
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From playlist Uri Bader - Algebraic Representations of Ergodic Actions
Uri Bader - 4/4 Algebraic Representations of Ergodic Actions
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From playlist Uri Bader - Algebraic Representations of Ergodic Actions
"AWESOME Antigravity double cone" (science experiments)
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From playlist MECHANICS
Uri Bader - 3/4 Algebraic Representations of Ergodic Actions
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From playlist Uri Bader - Algebraic Representations of Ergodic Actions