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SUPERRIGIDITY

  • Superrigidity
  • Group theory concept

    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

    Superrigidity

    Superrigidity

  • Grigory Margulis
  • Russian mathematician

    the Kazhdan–Margulis theorem, a basic result on discrete groups. His superrigidity theorem from 1975 clarified an area of classical conjectures about the

    Grigory Margulis

    Grigory Margulis

    Grigory_Margulis

  • Mikhael Gromov (mathematician)
  • Russian-French mathematician

    spaces would imply new results on discrete groups, following Margulis superrigidity. Richard Schoen carried out the analytical work to extend the harmonic

    Mikhael Gromov (mathematician)

    Mikhael Gromov (mathematician)

    Mikhael_Gromov_(mathematician)

  • Local rigidity
  • Class of algebraic theorems

    different from Mostow rigidity and weaker (but holds more frequently) than superrigidity. The first such theorem was proven by Atle Selberg for co-compact discrete

    Local rigidity

    Local_rigidity

  • Robert Zimmer
  • American mathematician (1947–2023)

    to this program is "Zimmer's cocycle superrigidity theorem", a generalization of Grigory Margulis's superrigidity theorem. Like Margulis's work, which

    Robert Zimmer

    Robert Zimmer

    Robert_Zimmer

  • Stefaan Vaes
  • Belgian mathematician (born 1976)

    Stefaan (2009). "Group measure space decomposition of II1 factors and W*-superrigidity". Inventiones Mathematicae. 182 (2): 371–417. arXiv:0906.2765. doi:10

    Stefaan Vaes

    Stefaan Vaes

    Stefaan_Vaes

  • Arithmetic group
  • Type of group in group theory

    main new ingredient that Margulis used to prove his theorem was the superrigidity of lattices in higher-rank groups that he proved for this purpose. Irreducibility

    Arithmetic group

    Arithmetic group

    Arithmetic_group

  • Finitely generated group
  • Group type in algebra

    low-dimensional topology. Lattices in Lie groups, in p-adic groups... Superrigidity, Margulis' arithmeticity theorem Infinite families of expander graphs

    Finitely generated group

    Finitely generated group

    Finitely_generated_group

  • Mostow rigidity theorem
  • Theorem in hyperbolic geometry

    groups which are quasi-isometric but not commensurable to each other. Superrigidity, a stronger result for higher-rank spaces Local rigidity, a result about

    Mostow rigidity theorem

    Mostow_rigidity_theorem

  • Sorin Popa
  • Romanian-American mathematician

    2006.163.809. MR 2215135. S2CID 119174749. Popa, Sorin (2008). "On the superrigidity of malleable actions with spectral gap". Journal of the American Mathematical

    Sorin Popa

    Sorin_Popa

  • George Mostow
  • American mathematician (1923–2017)

    pioneering contribution to geometry and Lie group theory." Strong rigidity Superrigidity Hochschild–Mostow group "In Memoriam: George Daniel Mostow 1923-2017"

    George Mostow

    George_Mostow

  • E. H. Moore Research Article Prize
  • polynomials," J. Amer. Math. Soc. (2004) 2010 Sorin Popa for "On the superrigidity of malleable actions with spectral gap," J. Amer. Math. Soc. (2008)

    E. H. Moore Research Article Prize

    E._H._Moore_Research_Article_Prize

  • Grothendieck–Katz p-curvature conjecture
  • amplified in the Tannakian direction by André. It also applies a version of superrigidity particular to arithmetic groups. Other progress has been by arithmetic

    Grothendieck–Katz p-curvature conjecture

    Grothendieck–Katz_p-curvature_conjecture

  • Linear group
  • Type of mathematical group

    more generally lattices in Lie groups (for example through Margulis' superrigidity theorem and other rigidity results). Hall (2015) Rossmann (2002) Stephen

    Linear group

    Linear_group

  • Harmonic map
  • Concept in mathematics

    S2CID 11210055. Zbl 0652.58024. Corlette, Kevin (1992). "Archimedean superrigidity and hyperbolic geometry". Annals of Mathematics. Second Series. 135

    Harmonic map

    Harmonic_map

  • List of theorems
  • (hyperbolic groups) Stallings theorem about ends of groups (group theory) Superrigidity theorem (algebraic groups) Švarc-Milnor lemma (geometric group theory)

    List of theorems

    List_of_theorems

  • Richard Schoen
  • American mathematician (born 1950)

    Schoen, Richard (1992). "Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one". Publications Mathématiques de l'Institut

    Richard Schoen

    Richard Schoen

    Richard_Schoen

  • Geometry Festival
  • American annual mathematics conference

    Ricci curvature bounds Kevin Corlette, Harmonic maps and geometric superrigidity Kenji Fukaya, Fundamental groups of almost non-negatively curved manifolds

    Geometry Festival

    Geometry_Festival

  • Lattice (discrete subgroup)
  • Discrete subgroup in a locally compact topological group

    for cocompact lattices and Prasad extended it to the general case). Superrigidity provides (for Lie groups and algebraic groups over local fields of higher

    Lattice (discrete subgroup)

    Lattice (discrete subgroup)

    Lattice_(discrete_subgroup)

  • Tsachik Gelander
  • Israeli mathematician

    S2CID 16029687. Gelander, Tsachik; Karlsson, Anders; Margulis, Gregory (2008). "Superrigidity, generalized harmonic maps and uniformly convex spaces". Geometric and

    Tsachik Gelander

    Tsachik_Gelander

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Online names & meanings

  • KHSHAIRSHA
  • Male

    Egyptian

    KHSHAIRSHA

    , Xerxes.

  • Jeeshan
  • Boy/Male

    Arabic

    Jeeshan

    Peaceful

  • Clemmie
  • Boy/Male

    British, Christian, English, Latin

    Clemmie

    Gentle; Mild; Giving Mercy; Diminutive of Clement

  • MELINA
  • Female

    Greek

    MELINA

    (Μελίνα) Greek name derived from the word méli, MELINA means "honey."

  • Hariscandra
  • Boy/Male

    Indian, Sanskrit

    Hariscandra

    Merciful as the Light of the Moon

  • Tarry
  • Surname or Lastname

    English

    Tarry

    English : variant of Terry 1.

  • Sanaubar
  • Girl/Female

    Arabic, Muslim, Sindhi

    Sanaubar

    Cone Bearing Tree

  • Worrick
  • Surname or Lastname

    English

    Worrick

    English : variant of Warwick.

  • Ehit | ஏஹீத
  • Boy/Male

    Tamil

    Ehit | ஏஹீத

    Always smiling

  • JILLIAN
  • Female

    English

    JILLIAN

    Early form of Roman Latin Juliana, JILLIAN means "descended from Jupiter (Jove)."

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