nLab Valery Lunts

Valery A. 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 doi

• 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, J. Algebra 244:2 (2001) 379-406 doi math.AG/0012061

• Valery A. Lunts, Categorical resolution of singularities, J. Algebra 323:10 (2010) 2977-3003 doi 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, Intern. Math. Res. Notices 29 (2004) 1461–1495 doi math.AG/0401009

• Valery A. Lunts, Deformations of quasicoherent sheaves of algebras, J. Algebra 259:1 (2003) 59-86 doi , math.AG/0105006

• Valery A. Lunts, Olaf M. Schnürer, Matrix factorizations and semi-orthogonal decompositions for blowing-ups, J. Noncommut. Geom. 10:3 (2016) 907–979 doi

category: people