SCIENTIFIC PROGRAMS AND ACTIVITIES

July 24, 2014

CRM/Fields Institute Prize Lecture 2000
Given by
Israel Michael Sigal, University of Toronto
October 30, 2000

Some Mathematical Problems of Quantum Field Theory
In this talk I will describe some analytical problems in Quantum Field Theory (QFT) and some of the recent results and approaches. I will not assume any prior knowledge of the subject and I will try to show how it arises from Classical Field Theory, i.e. partial differential equations. In other words I will view QFT as Quantum Mechanics of infinitely many degrees of freedom or of extended objects (strings, surfaces, etc).

See Canadian Mathematical Society notes.


Biography:

Israel Michael Sigal is one of the leading experts in the mathematical analysis of non-relativistic quantum theory worldwide. His theorem with Soffer on the N-body problem provided a completely rigorous solution to a major unsolved problem due to Schroedinger and was critical in establishing a firm mathematical foundation for quantum mechanics. His recent contributions to quantum electrodynamics provide a consistent mathematical description of the theory proposed by Feynmann, Schwinger and Tomonaga and represents a revolutionary approach to the subject. Professor Sigal received his bachelor's degree from Gorky University and his doctorate from Tel-Aviv University. Among his many honours, he has given addresses at the International Congress on Mathematical Physics and International Congress of Mathematics. He is a Fellow of the Royal Society of Canada and received the John L. Synge Award for outstanding work by a Canadian mathematician in 1993. He is an editor of the Duke Mathematical Journal and Reviews in Mathematical Physics. He is currently a University Professor and holds the Norman Stuart Robinson Chair at the University of Toronto.

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