Plenary Lecture

On Rigid, Hard and Soft Problems and Results in Arithmetic Geometry

Professor Nikolaj Mikhajlovich Glazunov
National Aviation University
UKRAINE
Email: glanm@yahoo.com

Abstract: Rigid, hard and soft problems and results in arithmetic geometry will be presented. "Soft" and "hard" in our talk are limited to the framework of solutions of quadratic forms over rings of integers of local and global fields, the Hardy-Littlewood-Kloosterman method. Next we consider the notion of rigidity. In the framework we will give review of some novel results in the aria.

Brief Biography of the Speaker: Professor of electronics department, National Aviation University, MON Ukraine. A doctorate of phys.-math. sci. Senior scientific researcher. PhD. 180 scientific publications. Study and scientific research in Computer Center of the Academy of Science of USSR (Moscow), Steklov Math. Institute (Moscow), Leningrad department of Steklov Math. Institute (Leningrad), IPC (Moscow), Lomonosov MSU (Moscow), Montreal University (Canada), Charles University (Prague, Czech Republic), Presov University (Slovakia), University of Debrecen (Hungary), University of South-Western Louisiana (Lafayette, USA), Aristotle University (Thessaloniki, Greece), Stockholm University (Sweden), JINR (Dubna, Russia), S. Banach Centre (Warszawa, Poland), I. Newton Mathematical Institute (Cambridge, Great Britain), M. and P. Curie University (Paris, France), KEK (Tsukuba, Japan), QGM Aarhus University (Denmark), KITPC (Beijing, China). Main scientific results are relied to arithmetic algebraic geometry and its applications, numerical analysis, mathematical programming, computer algebra, artificial intelligence, data/knowledge bases, dynamical systems, mathematical physics. Gave courses of lectures on some of the disciplines.

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