Israel Pollak Distinguished Lecture Series

A series of three lectures

will be presented by

PROFESSOR SERGEY NOVIKOV
University of Maryland and Landau Institute for Physics
Member of the Russian Academy of Sciences
Fields Medalist

The lectures will be held in

Room 232
Amado Mathematics Building
Technion - Israel Institute of Technology
Haifa, Israel

Lecture I: Thursday, May 18, 2000 — 15:30

OPERATORS ON GRAPHS AND SYMPLECTIC GEOMETRY

For the real self-adjoint Schrodinger operators on graphs,a homology-valued symplectic form (symplectic Wronskian) was invented in 1997. It plays a fundamental role in the construction of scattering theory for graphs with tails. A nonlinear extension of this quantity and some new aspects of the soliton theory will also be discussed.


Lecture II: Sunday, May 21, 2000 — 13:30

EXACTLY SOLVABLE 2D SCHRODINGER OPERATORS WITH MAGNETIC FIELD ON A LATTICE

Non-standard "soliton-type" continuous and discrete symmetry transformations are used for finding a broad class of exactly solvable 2D Schrodinger operators in periodic fields, including topologically nontrivial cases.

 


Lecture III: Monday, May 22, 2000 15:30

QUASI-PERIODIC FUNCTIONS ON THE PLANE AND TOPOLOGY

The structure of levels of quasi-periodic functions on the plane with 3 periods leads to a highly nontrivial topological picture. It plays a fundamental role in the theory of metals. This problem has been studied from the topological point of view since 1982, and physical applications were found in 1996-99. New results have recently been obtained for functions with higher number of periods. It is hoped to find applications in the theory of quasi-crystals.