Grigory LITVINOV

Researcher at the Laboratory since November 2006

Permanent place of employment:

Independent University of Moscow

Current research interests:

Dequantization, idempotent and tropical mathematics, functional analysis, representation theory, rational approximations, numerical and interval analysis, computer technologies.

Colloquium and Conference lectures (partial list)

• Nov. 2005 International University Bremen (Bremen, Germany)
• Feb. 2005 International Conference "Topology, Analysis, and Applications in Mathematical Physics", Moscow State University, (Moscow, Russsia); invited speaker
• July 2004 Max Planck Institute for Mathematics (Bonn, Germany)
• July 2004 Bonn University Institute for Applied Mathematics (Bonn, Germany)
• June 2004 International Conference "Representation theory, Dynamical Systems, and Asymptotic Combinatorics", Euler International Mathematical Institute" (St. Petersburg, Russia); invited speaker
• April 2004 Charles University (Prague, Czech Republic)
• March 2004 International Conference "Geometry and Combinatorics in Physics", Independent University of Moscow (Moscow, Russia); invited speaker
• March 2004 Moscow State University, Dept. Math. (Moscow, Russia)
• Feb. 2004 International 25th Linz Seminar on Fuzzy Set Theory", Linz University (Linz, Austria); invited main speaker
• Jan. 2004 International Conference "Kantorovich Memorial. Mathematics and Economics: Old problems and new approaches", Euler International Mathematical Institute (St. Petersburg, Russia); invited speaker
• Oct. 2003 International Workshop "Amoebas and Tropical Geometry", American Institute of Mathematics, Palo Alto (California, USA); invited speaker
• Oct. University of California in San Diego (San Diego, USA)
• July 2003 International Workshop on Max-algebra, University of Birmingham, (Birmingham, England); invited speaker
• March 2003 Steklov Mathematical Institute of the Russian Acad. Sci., St. Petersburg division (Petersburg, Russia)
• March 2003 Institute for Theoretical and Experimental Physics (Moscow)
• Feb. 2003 International Workshop "Idempotent Mathematics and Mathematical Physics", Erwin Schroedinger International Institute for mathematical Physics (Vienna, Austria); organizer and invited speaker

Recent visiting position

September 2005 - June 2006, Visiting professor of mathematics, International University Bremen, Bremen, Germany

Some recent publications (partial list)

1. Dequantization of mathematics, Globus: general-mathematical seminar, vol. 4, MCCME Publ., in press (in Russian).
2. Kernel theorems and nuclearity in idempotent mathematics. An algebraic approach, Zapiski Nauchnykh Seminarov POMI, vol. 331, 2006, 60--83 (in Russian, jointly with G.B. Shpiz). English version in J. Math. Sci, Vol. 139, #3, 2006. E-print arXiv:math.FA/0609033.
3. The Maslov dequantization, idempotent and tropical mathematics. A brief introduction. Zapiski Nauchnykh Seminarov POMI, vol.326, 145--182 (in Russian). English version in J. Math. Sci. E-print arXiv:math. GM/0507014.
4. Dequantization of mathematics and representations of groups, Vestnik Tambovskogo Universiteta, ser. Estestv. i tekhn. nauki, Vol. 10, #4, 2005, 390--411 (in Russian, jointly with G.B. Shpiz).
5. Idempotent Mathematics and Mathematical Physics, Contemporary Mathematics, Vol. 377. Amer. Math. Soc. Publ., Providence, Rhode Island, 2005 (jointly with V.P. Maslov, eds.).
6. The dequantization transform and generalized Newton polytopes. --In: [5], p. 181--186 (jointly with G.B. Shpiz). E-print arXiv:math.GM/0501038.
7. Error autocorrection in rational approximation and interval estimates, Central European Journal of Mathematics, Vol.1, #1, 2003. E-print. arXiv:math.NA/0207183.
8. Nondigital implementations of the arithmetic of real numbers by means of quantum computer media, Matem. Zametki, Vol. 70, #1, 2001, 59--67 (in Russian, jointly with V.P. Maslov and G.B. Shpiz). English version in Mathematical Notes, Vol. 70, #1, 2001, 53--60. E-print arXiv: quant-ph/9904025.