Holmstrom Voevodsky

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Apparently no personal web page.

For Voevodsky bibliography - see Fields medallists volume.

MathSciNet

arXiv

K-theory archive preprints

Lectures on motivic cohomology 2000/2001 (written by Pierre Deligne)

The Milnor conjecture

Bloch-Kato conjecture for Z/2-coefficients and algebraic Morava K-theories, by Vladimir Voevodsky.

Homology of schemes, II

Letter to Beilinson

Singular homology of abstract algebraic varieties

Homology of schemes, I

Also plenty of the other articles in the arxiv and MathSciNet lists!

List of arXiv preprints, 1 Sep 2008:

  1. Homotopy theory of simplicial presheaves in completely decomposable topologies. Vladimir Voevodsky. math.AG.
  2. Unstable motivic homotopy categories in Nisnevich and cdh-topologies. Vladimir Voevodsky. math.AG.
  3. Lectures on motivic cohomology 2000/2001 (written by Pierre Deligne). Vladimir Voevodsky. math.AG.
  4. Simplicial radditive functors. Vladimir Voevodsky. math.AG.
  5. Motivic Eilenberg-Maclane spaces. Vladimir Voevodsky. math.AG.
  6. Motives over simplicial schemes. Vladimir Voevodsky. math.AG.
  7. On motivic cohomology with Z/l coefficients. Vladimir Voevodsky. math.AG.
  8. On the zero slice of the sphere spectrum. Vladimir Voevodsky. math.AG (math.AT (Algebraic topology) (Algebraic topology) (Algebraic topology) (Algebraic topology)).
  9. Cancellation theorem. Vladimir Voevodsky. math.AG (math.AT (Algebraic topology) (Algebraic topology) (Algebraic topology) (Algebraic topology) math.KT (K-theory) (K-theory) (K-theory) (K-theory)).
  10. On 2-torsion in motivic cohomology. Vladimir Voevodsky. math.AG.
  11. Reduced power operations in motivic cohomology. Vladimir Voevodsky. math.AG.
  12. An exact sequence for Milnor’s K-theory with applications to quadratic forms. Dmitry Orlov, Alexander Vishik, Vladimir Voevodsky. math.AG (math.KT (K-theory) (K-theory) (K-theory) (K-theory)).

List of publications based on MathSciNet, 1 Sep 2008:

Dundas, B. I.; Levine, M.; \O stv\ae r, P. A.; Röndigs, O.; Voevodsky, V. Motivic homotopy theory. Lectures from the Summer School held in Nordfjordeid, August 2002. Universitext. Springer-Verlag, Berlin, 2007.

Orlov, D.; Vishik, A.; Voevodsky, V. An exact sequence for K * M/2K^M_* / 2 with applications to quadratic forms. Ann. of Math. (2) 165 (2007), no. 1, 1–13.

Mazza, Carlo; Voevodsky, Vladimir; Weibel, Charles. Lecture notes on motivic cohomology. Clay Mathematics Monographs/AMS.

Voevodsky, V. On the zero slice of the sphere spectrum. Tr. Mat. Inst. Steklova 246 (2004), Algebr. Geom. Metody, Svyazi i Prilozh., 106–115; translation in Proc. Steklov Inst. Math. 2004, no. 3 (246), 93–102

Voevodsky, Vladimir Motivic cohomology with Z/2Z/2-coefficients. Publ. Math. Inst. Hautes Études Sci. No. 98 (2003), 59–104.

Voevodsky, Vladimir Reduced power operations in motivic cohomology. Publ. Math. Inst. Hautes Études Sci. No. 98 (2003), 1–57.

Voevodsky, Vladimir Open problems in the motivic stable homotopy theory. I. Motives, polylogarithms and Hodge theory, Part I (Irvine, CA, 1998), 3–34, Int. Press.

Voevodsky, Vladimir A possible new approach to the motivic spectral sequence for algebraic KK-theory. Recent progress in homotopy theory (Baltimore, MD, 2000), 371–379, Contemp. Math., 293, Amer. Math. Soc.

Voevodsky, Vladimir Motivic cohomology groups are isomorphic to higher Chow groups in any characteristic. Int. Math. Res. Not. 2002, no. 7, 351–355.

Voevodsky, Vladimir Triangulated categories of motives over a field. Cycles, transfers, and motivic homology theories, 188–238, Ann. of Math. Stud., 143, Princeton Univ. Press.

Friedlander, Eric M.; Voevodsky, Vladimir Bivariant cycle cohomology. Cycles, transfers, and motivic homology theories, 138–187, Ann. of Math. Stud., 143, Princeton Univ. Press

Voevodsky, Vladimir Cohomological theory of presheaves with transfers. Cycles, transfers, and motivic homology theories, 87–137, Ann. of Math. Stud., 143.

Suslin, Andrei; Voevodsky, Vladimir Relative cycles and Chow sheaves. Cycles, transfers, and motivic homology theories, 10–86, Ann. of Math. Stud., 143, Princeton Univ. Press

Friedlander, Eric M.; Suslin, A.; Voevodsky, V. Introduction. Cycles, transfers, and motivic homology theories, 3–9, Ann. of Math. Stud., 143, Princeton Univ. Press, Princeton, NJ, 2000.

Voevodsky, Vladimir; Suslin, Andrei; Friedlander, Eric M. Cycles, transfers, and motivic homology theories. Annals of Mathematics Studies, 143.

Suslin, Andrei; Voevodsky, Vladimir Bloch-Kato conjecture and motivic cohomology with finite coefficients. The arithmetic and geometry of algebraic cycles (Banff, AB, 1998), 117–189, NATO Sci. Ser. C Math. Phys. Sci., 548, Kluwer Acad. Publ., Dordrecht, 2000.

Morel, Fabien; Voevodsky, Vladimir A 1A^1-homotopy theory of schemes. Inst. Hautes Études Sci. Publ. Math. No. 90 (1999), 45–143 (2001).

Voevodsky, V. Voevodsky’s Seattle lectures: KK-theory and motivic cohomology. Notes by C. Weibel. Proc. Sympos. Pure Math., 67, Algebraic KK-theory (Seattle, WA, 1997), 283–303, Amer. Math. Soc.

Voevodsky, Vladimir boldAsp1\bold A\sp 1-homotopy theory. Proceedings of the International Congress of Mathematicians, Vol. I (Berlin, 1998). Doc. Math. 1998, Extra Vol. I, 579–604 (electronic).

Voevodsky, V. Homology of schemes. Selecta Math. (N.S.) 2 (1996), no. 1, 111–153.

Suslin, Andrei; Voevodsky, Vladimir Singular homology of abstract algebraic varieties. Invent. Math. 123 (1996), no. 1, 61–94.

Voevodsky, V. A nilpotence theorem for cycles algebraically equivalent to zero. Internat. Math. Res. Notices 1995, no. 4, 187–198 (electronic).

Kapranov, M. M.; Voevodsky, V. A. 22-categories and Zamolodchikov tetrahedra equations. Algebraic groups and their generalizations: quantum and infinite-dimensional methods (University Park, PA, 1991), 177–259, Proc. Sympos. Pure Math., 56, Part 2, Amer. Math. Soc.

Kapranov, M.; Voevodsky, V. Braided monoidal 22-categories and Manin-Schechtman higher braid groups. J. Pure Appl. Algebra 92 (1994), no. 3, 241–267.

Voevodskiĭ, V. A. Galois groups of function fields over fields of finite type over QQ. (Russian) Uspekhi Mat. Nauk 46 (1991), no. 5(281), 163–164; translation in Russian Math. Surveys 46 (1991), no. 5, 202–203.

Voevodskiĭ, V. A. Galois representations connected with hyperbolic curves. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 55 (1991), no. 6, 1331–1342; translation in Math. USSR-Izv. 39 (1992), no. 3, 1281–1291.

Kapranov, M. M.; Voevodsky, V. A. ∞\infty-groupoids and homotopy types. International Category Theory Meeting (Bangor, 1989 and Cambridge, 1990). Cahiers Topologie Géom. Différentielle Catég. 32 (1991), no. 1, 29–46.

Kapranov, M. M.; Voevodsky, V. A. Combinatorial-geometric aspects of polycategory theory: pasting schemes and higher Bruhat orders (list of results). International Category Theory Meeting (Bangor, 1989 and Cambridge, 1990). Cahiers Topologie Géom. Différentielle Catég. 32 (1991), no. 1, 11–27.

Voevodskiĭ, V. A.; Kapranov, M. M. The free nn-category generated by a cube, oriented matroids and higher Bruhat orders. (Russian) Funktsional. Anal. i Prilozhen. 25 (1991), no. 1, 62–65; translation in Funct. Anal. Appl. 25 (1991), no. 1, 50–52

Shabat, G. B.; Voevodsky, V. A. Drawing curves over number fields. The Grothendieck Festschrift, Vol. III, 199–227, Progr. Math., 88, Birkhäuser Boston, Boston, MA, 1990.

Voevodskiĭ, V. A. Étale topologies of schemes over fields of finite type over QQ. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 54 (1990), no. 6, 1155–1167; translation in Math. USSR-Izv. 37 (1991), no. 3, 511–523

Voevodskiĭ, V. A.; Kapranov, M. M. ∞\infty-groupoids as a model for a homotopy category. (Russian) Uspekhi Mat. Nauk 45 (1990), no. 5(275), 183–184; translation in Russian Math. Surveys 45 (1990), no. 5, 239–240

Voevodskiĭ, V. A.; Shabat, G. B. Equilateral triangulations of Riemann surfaces, and curves over algebraic number fields. (Russian) Dokl. Akad. Nauk SSSR 304 (1989), no. 2, 265–268; translation in Soviet Math. Dokl. 39 (1989), no. 1, 38–41

Selected publications/preprints:

nLab page on Voevodsky

Created on June 9, 2014 at 21:16:13 by Andreas Holmström