Prof.
Hvedri Inassaridze
Born in Paris, France, December 6, 1932. Secondary education at Lycee
Claude Bernard, Paris (till 1947) and secondary school in Tbilisi
(19471950). In 19501951 student of Tbilisi State University,
physicomathematical 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;
19581961  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.
19901997  President of the
Georgian National Mathematical Committee.
19901991  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, Ktheory, algebraic topology,
category theory, noncommutative 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 Ktheory. Has constructed the algebraic Ktheory of normed
algebras based on Quillen Qconstruction
and confirmed the Karoubi Conjecture on the isomorphism of algebraic
and topological Kfunctors for a wide class of stable real or complex
algebras and has proved the Kregularity property for Frechet algebras. Has provided a
theory of equivariant (co)homology of groups with applications in
algebraic Ktheory and equivariant cohomology of spaces.
Teaching
and Scientific activities

Special courses in algebra for students of the faculty of Mechanics and
Mathematics of Tbilisi State University.
 Seminars on Homological
Algebra and Algebraic Ktheory (A.Razmadze Mathematical Institute).
 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.
 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.
 Founder and EditorinChief
(19982005) of the mathematical journal "Homology, Homotopy and
Applications".
 Founder and EditorinChief of "Journal
of Homotopy and Related Structures" (JHRS).
 Member of the Editorial
Board of Georgian Mathematical Journal.
 Founder and EditorinChief of "Tbilisi Mathematical Journal".
 Member of the Editorial Board of "Mathematics"
 Head of Tbilisi Centre for Mathematical Sciences
Main Publications

Universal functors,
Bull. Georgian Acad.
Sci. 38, No3 (1965) (in Russian).
 Extensions
of regular semigroups, Bull.
Georgian Acad. Sci. 39, No1 (1965) (in Russian).
 On
finite order extensions and remainders of completly regular spaces
, Doklady
Acad. Nauk USSR 166, No5 (1966).
 On
a generalization of perfect mappings,
Doklady Acad. Nauk USSR
168, No2 (1966).
 AlexanderKolmogorov
cohomology with coefficients in commutative inverse semigroups,
Bull. Georgian Acad.
Sci. 54, No2 (1969) (in Russian).
 Exact
homology and linking for Steenrod duality,
Doklady Acad. Nauk USSR
206, No1 (1972) (in Russian).
 On
exact homology, Proc.
A.Razmadze Math. Institute, 41 (1972) (in Russian).
 Exact
homology and Tate cohomology of locally compact zerodimensional groups,
Bull. Georgian Acad.
Sci. 74, No1 (1974) (in Russian)
 On
algebraic Kfunctors, Bull.
Georgian Acad. Sci. 77, No1 (1975) (in Russian).
 Generalization
of Milnor sequence for inverse limits,
Bull. Georgian Acad.
Sci. 79, No1 (1975) (in Russian).
 Homotopy
of pseudosimplicial groups, nonabelian derived functors and algebraic
Ktheory, Matem.
Sbornik 98, No3 (1975), 339  362.
 Some
topics of homological and homotopical algebra and their applications,
Proc. A.Razmadze Math.
Institute 48 (1975), 140 pages (in Russian).
 On
SwanGersten Kfunctor K3, Bull.
Georgian Acad. Sci. 111, No3 (1983), 2931 (in Russian).
 Ktheory
of special normed algebras,
Uspehi Mat. Nauk 40, No4
(1985), 169170.
 Ktheory
of special normed rings, Lecture
Notes in Math., Springer verlag, 1437 (1990), 95 156.

On the Steenrod
homology of compact spaces,
Michigan Math. J. 38, No3 (1991), 323  338.
 Algebraic
Ktheory,
Kluwer Acad. Publishers,
Amsterdam, 1995, 440 pages.

Nonabelian homological
algebra and its applications,
Kluwer Acad. Publishers,
Amsterdam, 1997, 270 pages.

Nonabelian cohomology
of groups, Georgian
Math. J. 4, No4 (1997), 313  332.

Nonabelian cohomology
with coefficients in crossed bimodules ,
Georgian Math. J. 4, No6
(1997), 509  522.

Universal property of
Kasparov bivariant Ktheory,
Bull. Georgian Acad.
Sci. 156, No2 (1997), 185  189.
 (with
N.Inassaridze) Nonabelian
homology of groups, Ktheory
J. 378 (1999), 117.
 (with
N.Inassaridze) New
descriptions of the nonabelian homology of groups,
Bull. Georgian Acad.
Sci. 157, No2 (1998), 196  200.
 (with
N.Inassaridze) The second
and the third nonabelian homology of groups,
Bull. Georgian Acad.
Sci. 158, No3 (1998).

Algebraic Ktheory of
normed algebras, KTheory
21, No 1 (2000), 2556. ps
 Higher
nonabelian cohomology of groups,
Glasgow Math. J. 44
(2002), 497520. ps
 (with D.Conduché
and N.Inassaridze) Mod q
cohomology and Tate cohomology of groups,
Prepublication 0129 (2001), Institute de Recherche Mathematique de
Rennes.
 (with D.Conduché
and N.Inassaridze) Mod q
cohomology and TateVogel
cohomology of groups,
J. Pure Appl. Algebra 189 (2004), 6187.
 (with A.Garzon) Semidirect
products of categorical groups. Obstruction theory and derivations,
Homology, Homotopy and
Applications 3 (1) (2001), 111138.
 (with T.Kandelaki) Ktheory
of stable generalized operator algebras ,
KTheory 27 (2002),
103110. ps
 (with A.Garzon and A.del
Rio) Derivations of
categorical groups,
Theory and Applications of Categories 13
(5) (2004), 86105.
 More
about (co)homology of groups and associative algebras,
Homology, Homotopy and
Applications 7 (1) (2005), 87108.
 (with A.M.Cegarra) Homology
of groups with operators,
Intern. Math. J. 5 (1)
(2004), 2948.
 Equivariant
homology and cohomology of groups,
Topology and its
Applications 153 (2005), 6689.
 (with D.Arlettaz) Finite
Ktheory spaces,
Proc. Cambridge Phil. Soc. 139 (2005), 261286.
 (with T.Kandelaki) Smooth
Ktheory of locally convex algebras,
preprint (2006), arXiv: math.KT/0603095.
 (with T.Kandelaki) La conjecture de Karoubi pour la
Ktheorie lisse,
C. R. Acad. Sci. Paris. Ser. I 346 (2008), 11291132.
 (with E.Khmaladze) Hopf formulas for the equivariant
integral homology of groups,
Proc. Amer. Math. Soc. 138 (9) (2010), 30373046.
 (with T.Kandelaki) Smooth Ktheory of locally convex
algebras,
Communications in Contemporary Mathematics, 13(4)(2011), 553577.
 (with T.Kandelaki and R.Meyer) Localisation and
colocalisation of triangulated categories at thick subcategories,
Mathematica Scandinavica, 110(1)(2012), 5374.
 (with T.Kandelaki and R.Meyer) Localisation and
colocalisation of KKtheory at sets of primes,
Abhandlungen aus dem Mathematischen Seminar der Universitaet
Hamburg, v.81(1)(2011), 1934.
 Smooth Kgroups for monoid algebras and Kregularity,
Mathematics 2015, 3(3), 891896, doi: 10. 3390/math.3030891.
 Kregularity 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)
Email: inassari@gmail.com
,
hvedri.inasaridze@tsu.ge
Last update 18 September, 2015.