Prof. Hvedri Inassaridze

Born in Paris, France, December 6, 1932. Secondary education at Lycee Claude Bernard, Paris (till 1947) and secondary school in Tbilisi (1947-1950). In 1950-1951 student of Tbilisi State University, physico-mathematical faculty; in 1951 his family was sent for permanent exile to Kazakhstan but was rehabilitated in 1954 (after Stalin's death). Continued to study in Tbilisi State University and graduated in 1958;

1958-1961 - postgraduate student of A. Razmadze Mathematical Institute of the Georgian Academy of Sciences.

From 1961 - scientific member of A. Razmadze Mathematical Institute.

From 1966 - Candidate and from 1970 - doctor of physical and mathematical sciences, confirmed by Highest Certification Commission (VAK) in Moscow.

From 1983 - 2001 corresponding member and from 2001- full member of the Georgian Academy of Sciences.

1990-1997 - President of the Georgian National Mathematical Committee.

1990-1991 - deputy of the Parliament of Georgia.

Present positions: Head of the Algebra Department of A.Razmadze Mathematical Institute, Professor of Tbilisi State University.

Marital status: married, two children.

Awarded by AMS, ISF, INTAS, CRDF, CNRS, INTAS Georgia and FNRS grants, Razmadze Prize of the Georgian Academy of Sciences, International Kharizmi First Prize of Science and Technology. Awarded by Shota Rustaveli National Science Foundation grants.

Fields of interest: homological and homotopical algebra, K-theory, algebraic topology, category theory, non-commutative geometry.

Has initiated and developed a theory of derived functors and satellites of nonadditive functors with respect to projective classes and presheaves of categories with applications to (co)homology of algebraic systems and K-theory. Has constructed the algebraic K-theory of normed algebras based on Quillen Q-construction and confirmed the Karoubi Conjecture on the isomorphism of algebraic and topological K-functors for a wide class of stable real or complex algebras and has proved the K-regularity property for Frechet algebras. Has provided a theory of equivariant (co)homology of groups with applications in algebraic K-theory and equivariant cohomology of spaces.

Teaching and Scientific activities

  1. Special courses in algebra for students of the faculty of Mechanics and Mathematics of Tbilisi State University.
  2. Seminars on Homological Algebra and Algebraic K-theory (A.Razmadze Mathematical Institute).
  3. Ph.D students (Thesis defended at Tbilisi State University): T. Datuashvili, J. Gubeladze, G. Janelidze, T. Kandelaki, R. Katamadze, E. Khmaladze, A. Landia, Nguyen Suan Tuyen, A. Patchkoria, B. Patchuashvili, T. Pirashvili, G. Rakviashvili, E. Rtveliashvili, M. Uridia.
    Doct. Sc.: J. Gubeladze, G. Janelidze, Nguyen Suan Tuyen.
  4. Member of the Scientific Committee at Tbilisi State University for awarding the candidate and doctoral degrees in Mathematical Logic, Algebra, Number Theory, Analysis, Geometry and Topology.
  5. Founder and Editor-in-Chief (1998-2005) of the mathematical journal "Homology, Homotopy and Applications".
  6. Founder and Editor-in-Chief of "Journal of Homotopy and Related Structures" (JHRS).
  7. Member of the Editorial Board of Georgian Mathematical Journal.
  8. Founder and Editor-in-Chief of "Tbilisi Mathematical Journal".
  9. Member of the Editorial Board of "Mathematics"
  10. Head of Tbilisi Centre for Mathematical Sciences

Main Publications

  1. Universal functors, Bull. Georgian Acad. Sci. 38, No3 (1965) (in Russian).
  2. Extensions of regular semigroups, Bull. Georgian Acad. Sci. 39, No1 (1965) (in Russian).
  3. On finite order extensions and remainders of completly regular spaces , Doklady Acad. Nauk USSR 166, No5 (1966).
  4. On a generalization of perfect mappings, Doklady Acad. Nauk USSR 168, No2 (1966).
  5. Alexander-Kolmogorov cohomology with coefficients in commutative inverse semigroups, Bull. Georgian Acad. Sci. 54, No2 (1969) (in Russian).
  6. Exact homology and linking for Steenrod duality, Doklady Acad. Nauk USSR 206, No1 (1972) (in Russian).
  7. On exact homology, Proc. A.Razmadze Math. Institute, 41 (1972) (in Russian).
  8. Exact homology and Tate cohomology of locally compact zerodimensional groups, Bull. Georgian Acad. Sci. 74, No1 (1974) (in Russian)
  9. On algebraic K-functors, Bull. Georgian Acad. Sci. 77, No1 (1975) (in Russian).
  10. Generalization of Milnor sequence for inverse limits, Bull. Georgian Acad. Sci. 79, No1 (1975) (in Russian).
  11. Homotopy of pseudosimplicial groups, nonabelian derived functors and algebraic K-theory, Matem. Sbornik 98, No3 (1975), 339 - 362.
  12. Some topics of homological and homotopical algebra and their applications, Proc. A.Razmadze Math. Institute 48 (1975), 140 pages (in Russian).
  13. On Swan-Gersten K-functor K3, Bull. Georgian Acad. Sci. 111, No3 (1983), 29-31 (in Russian).
  14. K-theory of special normed algebras, Uspehi Mat. Nauk 40, No4 (1985), 169-170.
  15. K-theory of special normed rings, Lecture Notes in Math., Springer verlag, 1437 (1990), 95 -156.
  16. On the Steenrod homology of compact spaces, Michigan Math. J. 38, No3 (1991), 323 - 338.
  17. Algebraic K-theory, Kluwer Acad. Publishers, Amsterdam, 1995, 440 pages.
  18. Nonabelian homological algebra and its applications, Kluwer Acad. Publishers, Amsterdam, 1997, 270 pages.
  19. Nonabelian cohomology of groups, Georgian Math. J. 4, No4 (1997), 313 - 332.
  20. Nonabelian cohomology with coefficients in crossed bimodules , Georgian Math. J. 4, No6 (1997), 509 - 522.
  21. Universal property of Kasparov bivariant K-theory, Bull. Georgian Acad. Sci. 156, No2 (1997), 185 - 189.
  22. (with N.Inassaridze) Nonabelian homology of groups, K-theory J. 378 (1999), 1-17.
  23. (with N.Inassaridze) New descriptions of the nonabelian homology of groups, Bull. Georgian Acad. Sci. 157, No2 (1998), 196 - 200.
  24. (with N.Inassaridze) The second and the third nonabelian homology of groups, Bull. Georgian Acad. Sci. 158, No3 (1998).
  25. Algebraic K-theory of normed algebras, K-Theory 21, No 1 (2000), 25-56. ps
  26. Higher nonabelian cohomology of groups, Glasgow Math. J. 44 (2002), 497-520. ps
  27. (with D.Conduché and N.Inassaridze) Mod q cohomology and Tate cohomology of groups, Prepublication 01-29 (2001), Institute de Recherche Mathematique de Rennes.
  28. (with D.Conduché and N.Inassaridze) Mod q cohomology and Tate-Vogel cohomology of groups, J. Pure Appl. Algebra 189 (2004), 61-87.
  29. (with A.Garzon) Semidirect products of categorical groups. Obstruction theory and derivations, Homology, Homotopy and Applications 3 (1) (2001), 111-138.
  30. (with T.Kandelaki) K-theory of stable generalized operator algebras , K-Theory 27 (2002), 103-110. ps
  31. (with A.Garzon and A.del Rio) Derivations of categorical groups, Theory and Applications of Categories 13 (5) (2004), 86-105.
  32. More about (co)homology of groups and associative algebras, Homology, Homotopy and Applications 7 (1) (2005), 87-108.
  33. (with A.M.Cegarra) Homology of groups with operators, Intern. Math. J. 5 (1) (2004), 29-48.
  34. Equivariant homology and cohomology of groups, Topology and its Applications 153 (2005), 66-89.
  35. (with D.Arlettaz) Finite K-theory spaces, Proc. Cambridge Phil. Soc. 139 (2005), 261-286.
  36. (with T.Kandelaki) Smooth K-theory of locally convex algebras, preprint (2006), arXiv: math.KT/0603095.
  37. (with T.Kandelaki) La conjecture de Karoubi pour la K-theorie lisse, C. R. Acad. Sci. Paris. Ser. I 346 (2008), 1129-1132.
  38. (with E.Khmaladze) Hopf formulas for the equivariant integral homology of groups, Proc. Amer. Math. Soc. 138 (9) (2010), 3037-3046.
  39. (with T.Kandelaki) Smooth K-theory of locally convex algebras, Communications in Contemporary Mathematics, 13(4)(2011), 553-577.
  40. (with T.Kandelaki and R.Meyer) Localisation and colocalisation of triangulated categories at thick subcategories, Mathematica Scandinavica, 110(1)(2012), 53-74.
  41. (with T.Kandelaki and R.Meyer) Localisation and colocalisation of KK-theory at sets of primes, Abhandlungen aus dem Mathematischen Seminar der Universitaet Hamburg, v.81(1)(2011), 19-34.
  42. Smooth K-groups for monoid algebras and K-regularity, Mathematics 2015, 3(3), 891-896, doi: 10. 3390/math.3030891.
  43. K-regularity of locally convex algebras, 2015 (submitted).

Address:(work)A. Razmadze Mathematical Institute,
Georgian Academy of Sciences,
6. Tamarashvili Str., Tbilisi 0177, Georgia.

(home) Chavchavadze Avenue 75, corp.3, Tbilisi 0179, Georgia.

Phone:(995)32 230852 (home)
E-mail: ,

Last update 18 September, 2015.