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Gaitsgory, Dennis

  1. Sheaves of categories and the notion of 1-affineness
    2013/06/18 by Dennis Gaitsgory, Gaitsgory, Dennis · 12 citations
    Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
  2. Singular support of coherent sheaves, and the geometric Langlands\n conjecture
    2012/01/30 by D. Arinkin, Arinkin, Dima, Dennis Gaitsgory +1 · 7 citations
    Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons
  3. On some finiteness questions for algebraic stacks
    2011/08/26 by Drinfeld, Vladimir, Gaitsgory, Dennis · 5 citations
    #Algebraic Geometry (math.AG) #FOS: Mathematics
  4. Proof of the geometric Langlands conjecture I: construction of the functor
    2024/05/06 by Dennis Gaitsgory, Sam Raskin, Gaitsgory, Dennis +1 · 4 voices · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Differential Geometry Research #Advanced Topics in Algebra #math.AG
  5. Ind-coherent sheaves
    2011/05/24 by Gaitsgory, Dennis · 4 citations
    #14F05 #Algebraic Geometry (math.AG) #FOS: Mathematics
  6. Crystals and D-modules
    2011/11/09 by Gaitsgory, Dennis, Rozenblyum, Nick · 4 citations
    #Algebraic Geometry (math.AG) #FOS: Mathematics
  7. Outline of the proof of the geometric Langlands conjecture for GL(2)
    2013/02/11 by Dennis Gaitsgory, Gaitsgory, Dennis · 4 citations
    Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Advanced Topics in Algebra
  8. On a theorem of Braden
    2013/08/17 by Vladimir Drinfeld, Drinfeld, Vladimir, Dennis Gaitsgory +1 · 3 citations
    Mathematics · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Algebraic Geometry and Number Theory
  9. The notion of category over an algebraic stack
    2005/07/09 by Dennis Gaitsgory, Gaitsgory, Dennis · 3 citations
    Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG
  10. The semi-infinite intersection cohomology sheaf
    2017/03/12 by Gaitsgory, Dennis · 2 citations
    #Algebraic Geometry (math.AG) #FOS: Mathematics
  11. Construction of central elements in the affine Hecke algebra via nearby cycles
    1999/12/09 by Dennis Gaitsgory, Gaitsgory, Dennis · 1 citation
    Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG
  12. Notes on 2D Conformal Field Theory and String Theory
    1998/11/09 by Dennis Gaitsgory, Gaitsgory, Dennis · 2 citations
    Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Black Holes and Theoretical Physics #FOS: Mathematics #Particle physics theoretical and experimental studies #Quantum Algebra (math.QA) #Quantum Chromodynamics and Particle Interactions #math.AG #math.QA
  13. Local geometric Langlands correspondence and affine Kac-Moody algebras
    2005/08/20 by Frenkel, Edward, Gaitsgory, Dennis · 1 citation
    #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
  14. Local Geometric Langlands Correspondence: the Spherical Case
    2007/11/07 by Frenkel, Edward, Gaitsgory, Dennis · 1 citation
    #Algebraic Geometry (math.AG) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
  15. D-modules on the affine flag variety and representations of affine Kac-Moody algebras
    2007/12/05 by Edward Frenkel, Dennis Gaitsgory, Frenkel, Edward +1 · 1 citation
    Mathematics · Physics and Astronomy · #17B67 #81R10 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)
  16. Proof of the geometric Langlands conjecture III: compatibility with parabolic induction
    2024/09/11 by Campbell, Justin, Chen, Lin, Faergeman, Joakim +4 · 4 citations
    #Algebraic Geometry (math.AG) #FOS: Mathematics
  17. A corollary of the b-function lemma
    2008/10/08 by Alexander Beilinson, Dennis Gaitsgory, Beilinson, Alexander +1 · 1 citation
    Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
  18. DG Indschemes
    2011/08/08 by Gaitsgory, Dennis, Rozenblyum, Nick · 1 citation
    #Algebraic Geometry (math.AG) #FOS: Mathematics
  19. Compact generation of the category of D-modules on the stack of G-bundles on a curve
    2011/12/11 by Drinfeld, Vladimir, Gaitsgory, Dennis · 1 citation
    #Algebraic Geometry (math.AG) #FOS: Mathematics
  20. Recent progress in geometric Langlands theory
    2016/06/30 by Dennis Gaitsgory, Gaitsgory, Dennis · 1 citation
    Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
  21. The semi-infinite intersection cohomology sheaf-II: the Ran space version
    2017/08/23 by Dennis Gaitsgory, Gaitsgory, Dennis · 1 citation
    Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
  22. The local and global versions of the Whittaker category
    2018/11/06 by Gaitsgory, Dennis · 2 citations
    #Algebraic Geometry (math.AG) #FOS: Mathematics
  23. A conjectural extension of the Kazhdan-Lusztig equivalence
    2018/10/22 by Gaitsgory, Dennis · 1 citation
    #FOS: Mathematics #Representation Theory (math.RT)
  24. Proof of the geometric Langlands conjecture V: the multiplicity one theorem
    2024/09/15 by Gaitsgory, Dennis, Raskin, Sam · 2 citations
    #Algebraic Geometry (math.AG) #FOS: Mathematics
  25. From geometric to function-theoretic Langlands (or how to invent\n shtukas)
    2016/06/30 by Dennis Gaitsgory, Gaitsgory, Dennis · 1 citation
    Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
  26. Geometric Langlands in positive characteristic from characteristic zero
    2025/08/04 by Gaitsgory, Dennis, Raskin, Sam · 3 citations
    #Algebraic Geometry (math.AG) #FOS: Mathematics