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Voici une liste (non exhaustive) de sujets qui m'intéressent, selon la classification MSC 2010.

  • 11Exx: Forms and linear algebraic groups
    • 11E4: Quadratic forms over general fields
    • 11E39: Bilinear and hermitian forms
    • 11E57: Classical groups
    • 11E70: K-theory of quadratic and hermitian forms
    • 11E72: Galois cohomology of linear algebraic groups
    • 11E81: Algebraic theory of quadratic forms; Witt groups and rings
    • 11E88: Quadratic spaces; Clifford algebras
  • 12Gxx: Homological methods (field theory)
    • 12G5: Galois cohomology
  • 13Dxx: Homological methods (commutative algebra)
    • 13D09: Derived categories
  • 14Cxx: Cycles and subschemes
    • 14C15: Chow groups and rings
    • 14C25: Algebraic cycles
    • 14C35: Applications of methods of algebraic K-theory
  • 14Fxx: (Co)homology theory
    • 14F22: Brauer groups of schemes
    • 14F42: Motivic cohomology
  • 14Lxx: Algebraic groups
    • 14L15: Group schemes
  • 16Hxx: Algebras and orders
    • 16H5: Separable algebras (e.g., quaternion alg., Azumaya alg., etc.)
  • 16Kxx: Division rings and semi-simple Artin rings
    • 16K20: Finite dimensional
    • 16K50: Brauer groups
  • 18Dxx: Categories with structure
    • 18D10: Monoidal categories
    • 18D30: Fibered categories
  • 19Axx: Grothendieck groups and K0
  • 19Bxx: Whitehead groups and K1
  • 19Cxx: Steinberg groups and K2
    • 19C30: K2 and the Brauer group
  • 19Dxx: Higher algebraic K-theory
    • 19D6: Q- and plus-constructions
    • 19D10: Algebraic K-theory of spaces
    • 19D45: Higher symbols, Milnor K-theory
  • 19Exx: K-theory in geometry
    • 19E08: K-theory of schemes
    • 19E15: Algebraic cycles and motivic cohomology
    • 19E20: Relations with cohomology theories
  • 19Gxx: K-theory of forms
    • 19G12: Witt groups of rings
    • 19G38: Hermitian K-theory, relations with K-theory of rings
  • 19Lxx: Topological K-theory
    • 19L41: Connective K-theory, cobordism
    • 19L47: Equivariant K-theory
  • 20Gxx: Linear algebraic groups and related topics
    • 20G7: Structure theory
    • 20G10: Cohomology theory
    • 20G15: Linear algebraic groups over arbitrary fields
    • 20G41: Exceptional groups
    • 20G44: Kac-Moody groups
  • 55Nxx: Homology and cohomology theories (algebraic topology)
    • 55N15: K-theory
    • 55N20: Generalized (extraordinary) homology and cohomology theories
    • 55N22: Bordism and cobordism theories, formal group laws
    • 55N91: Equivariant homology and cohomology
mucha