nLab Valery Lunts

Valery Lunts is a professor of mathematics at the Indiana University at Bloomington (faculty profile). His interests include algebraic geometry (including noncommutative), representation theory, D-modules, deformation theory, sheaf theory and homological algebra.

Some works of relevance for the $n$lab:

• J. Bernstein, V. Lunts, On nonholonomic irreducible D-modules, Invent. Math. 94, (1988), no. 2, 223–243.

• J. Bernstein, V. Lunts, Equivariant sheaves and functors, Springer Lecture Notes in Math. 1578 (1994). MR 95k:55012

• V. A. Lunts, D. O. Orlov, Uniqueness of enhancement for triangulated categories, J. Amer. Math. Soc. 23 (2010), 853-908, journal, arXiv:0908.4187, doi

• V. A. Lunts, A. L. Rosenberg, Differential operators on noncommutative rings, Selecta Math. (N.S.) 3 (1997), no. 3, 335–359 (doi); sequel: Localization for quantum groups, Selecta Math. (N.S.) 5 (1999), no. 1, pp. 123–159 (doi).

• V. A. Lunts, A. L. Rosenberg, Differential calculus in noncommutative algebraic geometry I. D-calculus on noncommutative rings, MPI 1996-53 pdf, II. D-Calculus in the braided case. The localization of quantized enveloping algebras, MPI 1996-76 pdf

• Alexander I. Efimov, Valery A. Lunts, Dmitri O. Orlov, Deformation theory of objects in homotopy and derived categories

  • I: general theory arXiv:math/0702838;
  • II: pro-representability of the deformation functor arXiv:math/0702839;
  • III: abelian categories arXiv:math/0702840

• Valery A. Lunts, Coherent sheaves on configuration schemes, math.AG/0012061

• Valery A. Lunts, Categorical resolution of singularities, math.AG/0905.4566

• Valery A. Lunts, Formality of DG algebras (after Kaledin) math.AG/0712.0996

• A. I. Bondal, M. Larsen, V. A. Lunts, Grothendieck ring of pretriangulated categories, math.AG/0401009

• Valery A. Lunts, Deformations of quasicoherent sheaves of algebras, math.AG/0105006

category: people