• In Lie theory, an area of mathematics, the KazhdanMargulis theorem is a statement asserting that a discrete subgroup in semisimple Lie groups cannot be...
    8 KB (998 words) - 21:36, 8 April 2025
  • Thumbnail for David Kazhdan
    Kac, George Lusztig (on the Kazhdan–Lusztig conjecture on Verma modules), with Grigory Margulis (KazhdanMargulis theorem), with Yuval Flicker and S....
    6 KB (482 words) - 04:24, 13 May 2025
  • Thumbnail for Grigory Margulis
    Early work with David Kazhdan produced the KazhdanMargulis theorem, a basic result on discrete groups. His superrigidity theorem from 1975 clarified an...
    13 KB (1,366 words) - 17:50, 13 March 2025
  • In differential geometry, the Margulis lemma (named after Grigory Margulis) is a result about discrete subgroups of isometries of a non-positively curved...
    8 KB (1,185 words) - 18:50, 26 January 2024
  • opposite: they make almost invariant vectors easy or hard to find. Kazhdan's theorem: If Γ is a lattice in a Lie group G then Γ has property (T) if and...
    13 KB (1,756 words) - 07:25, 8 April 2025
  • Thumbnail for List of Russian mathematicians
    David Kazhdan, Soviet, American and Israeli mathematician, Representation theory, Category theory, Kazhdan-Lusztig conjecture, Kazhdan-Margulis theorem, Kazhdan...
    18 KB (1,744 words) - 06:21, 5 May 2025
  • Thumbnail for Lattice (discrete subgroup)
    ambient Lie group. A consequence of local rigidity and the Kazhdan-Margulis theorem is Wang's theorem: in a given group (with a fixed Haar measure), for any...
    31 KB (4,840 words) - 21:39, 26 January 2025
  • Thumbnail for Arithmetic group
    general theory of lattices in Lie groups by Atle Selberg, Grigori Margulis, David Kazhdan, M. S. Raghunathan and others. The state of the art after this...
    22 KB (3,301 words) - 17:22, 3 February 2025
  • Thumbnail for Ilya Piatetski-Shapiro
    conducted seminars for advanced students, among them Grigory Margulis (now at Yale) and David Kazhdan (now at Hebrew University). He was invited to attend 1962...
    21 KB (2,226 words) - 15:14, 19 March 2025
  • Thumbnail for Reductive group
    a discrete subgroup Γ is a lattice if G/Γ is compact. The Margulis arithmeticity theorem says, in particular: for a simple Lie group G of real rank at...
    56 KB (8,018 words) - 09:30, 15 April 2025
  • Thumbnail for Hee Oh
    obtained her Ph.D from Yale University in 1997 under the guidance of Gregory Margulis. She held several faculty positions, including ones at Princeton University...
    8 KB (673 words) - 02:40, 11 May 2025
  • conjecture on the dimension of an attractor in terms of its Lyapunov exponents Margulis conjecture – measure classification for diagonalizable actions in higher-rank...
    195 KB (20,026 words) - 13:12, 7 May 2025
  • Weil conjectures (category Theorems in number theory)
    complicated argument with E/E∩E⊥ rather than E.) An argument of Kazhdan and Margulis shows that the image of the monodromy group acting on E, given by...
    50 KB (7,942 words) - 20:24, 24 March 2025
  • Manin-Mumford conjecture and Manin obstruction in diophantine geometry Grigory Margulis, worked on lattices in Lie groups, Wolf Prize and Fields Medal winner Andrey...
    95 KB (9,622 words) - 21:08, 30 April 2025
  • Thumbnail for List of Russian people
    Manin-Mumford conjecture and Manin obstruction in diophantine geometry Grigory Margulis, worked on lattices in Lie groups, Wolf Prize and Fields Medal winner Andrey...
    204 KB (22,856 words) - 10:24, 1 May 2025
  • Benoit Mandelbrot (1924–2010), mathematician; Wolf Prize (1993) Grigory Margulis (born 1946), mathematician; Fields Medal (1978), Wolf Prize (2005), Abel...
    180 KB (15,830 words) - 01:04, 17 May 2025