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A Functional Integral Representation for Many Boson Systems
Functional integrals have long been used, formally, to provide
intuition about the behaviour of quantum field theories. For
the past several decades, they have also been used, rigorously,
in the construction and analysis of those theories. I will talk
about the rigorous derivation of some functional integral representations
for the partition function and correlation functions of (cutoff)
many Boson systems that provide a suitable starting point for
their construction.
Dr. Joel Feldman: Recipient of the 2007 CRM-Fields-PIMS
Prize
VANCOUVER, December 11, 2006 – The directors of the Centre
de recherches mathématiques (CRM) of l'Université
de Montréal – François Lalonde, the Fields
Institute – Barbara Keyfitz, and the Pacific Institute
for the Mathematical Sciences – Ivar Ekeland, are pleased
to announce that Professor Joel S. Feldman (University of
British Columbia) is the recipient of the 2007 CRM-Fields-PIMS
Prize, in recognition of his exceptional achievement and work
in mathematical physics.
Established in 1994, the CRM-Fields Prize recognizes exceptional
research in the mathematical sciences. In 2005, PIMS became
an equal partner in the prize, and the name was changed to
the CRM-Fields-PIMS prize. A committee appointed by the three
institutes chooses the recipient. This year's committee consisted
of: Niky Kamran (McGill) [Chair], John McKay (Concordia),
Catherine Sulem (Toronto), George Elliott (Toronto), Mark
Goresky (IAS) and Ed Perkins (UBC).
Professor Feldman has risen to a position of international
prominence in the world of mathematical physics, with a 30-year
record of sustained output of the highest caliber. He has
made important contributions to quantum field theory, many-body
theory, Schrödinger operator theory, and the theory of
infinite genus Riemann surfaces. Many of Professor Feldman's
recent results on quantum many-body systems at positive densities
and on Fermi liquids and superconductivity have been classed
as some of the best research in mathematical physics in the
last decade.
Professor Feldman received his B.Sc. from the University
of Toronto in 1970, and his A.M. and Ph.D. from Harvard University
in 1971 and 1974, respectively. He worked as a Research Fellow
at Harvard University from 1974 to 1975, and was a C. L. E.
Moore Instructor at the Massachusetts Institute of Technology
(MIT) from 1975 to 1977. Since 1977, he has taught at the
University of British Columbia, where he is currently a full
professor. Professor Feldman was an invited speaker at the
International Congress of Mathematicians in Kyoto in 1990.
He was a plenary speaker at the XIIth International Congress
on Mathematical Physics in Brisbane in 1997, and was an invited
speaker at the XIVth International Congress on Mathematical
Physics in Lisbon in 2003. He is a fellow of the Royal Society
of Canada, and has been awarded the 1996 John L. Synge award
and CRM Aisenstadt Chair Lectureship in 1999/200, as well
as the 2004 Jeffery-Williams Prize by the Canadian Mathematical
Society for outstanding contributions to mathematical research.
A brief article commenting further on Joel Feldman's work
was published in a 2007 issue of FieldsNotes. A copy of the
article is available here.
Previous recipients of the prize are H.S.M. (Donald) Coxeter,
George A. Elliott, James Arthur, Robert V. Moody, Stephen
A. Cook, Israel Michael Sigal, William T. Tutte, John B. Friedlander,
John McKay, Edwin Perkins, Donald A. Dawson, David Boyd and
Nicole Tomczak-Jaegermann.
The Fields Institute, located in Toronto, is recognized as
one of the world's leading independent mathematical research
institutions. With a wide array of pure, applied, industrial,
financial and educational programs, The Fields Institute attracts
over 1,000 visitors annually from every corner of the globe,
to collaborate on leading-edge research programs in the mathematical
sciences. The Field's Institute is funded by the Natural Sciences
and Engineering Research Council, the Ontario Ministry of
Training, Colleges and Universities, seven principal sponsoring
universities, seven affiliate universities and several corporate
sponsors. See www.fields.utoronto.ca for further details.
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