Verksamhet under våren 2001
Sällskapet håller tre möten under våren: tisdagen
den 27 februari,
onsdag den 4 april samt vårmötet tisdagen den 17 april.
Mötena börjar klockan 18.30 i sal C i Matematikhuset. Alla,
icke-medlemmar, är varmt välkomna! Före mötena,
från klockan 18.15,
serveras gratis förfriskningar. Efter varje möte inbjuds alla
eftersits med mat och dryck till självkostnadspris.
Den 27 februari håller Jan-Erik Roos, Stockholm,
Perioder-En ny klass av tal
Perioder är en ny klass av tal som nyligen införts och
studerats av Maxim Kontsevich och Don Zagier.
Jag skall ge en elementär översikt av
av denna fascinerande teori, som hänger ihop med många andra
delar av matematiken.
Den 4 april håller Robin Johnson, Newcastle,
Breaking the waves
Föredraget kommer att handla om icke-linjär
Den 17 april håller Vaughan Jones, Berkeley,
Why not a knot?
Vaughan F. R. Jones was born on the 31:st of December 1952,
at Gisborne, New Zealand. He did his prepatory and undergraduate
work in Auckland N.Z. but left for Geneva to do his graduate
work in 1974. First he did a stint at Ecole de Physique
but eventually wrote a thesis in mathematics in 1979 under the
guidance of the well-known topologist A.Haefliger. This was also
the year in which he married (to Martha Myers, a marriage, which
(so far) has produced three children, the youngest of whom -
Alice, will together with her mother, join in the visit to Sweden).
The next year he took up a Post-Doc position as a Hedrick at
UCLA, and after a shorter interlude in Pennsylvania, he returned
to California, as a professor of mathematics at UC Berkeley,
where he has remained since 1985.
In 1990 Jones was awarded the Fields medal at the ICM at Kyoto.
The ostensible reason was his discovery in 1984 of a new polynomial
invariant for knots and links in 3-space. Knot theory is a rather
established field, and his discovery came as a complete surprise
to knot-topologists, who had been searching for new invariants
for the better part of a century. Striking as such a discovery
may have been, it was just a spin-off from discovering startling,
and hitherto unsuspected, relationships between von Neumann algebras
and geometric topology. At the heart of the matter lies Jones
Index theorem, with repercussions, not only on the aforementioned
knot-theory, but also tying together seemingly diverse fields
like representations of Lie algebras, Quantum groups and Statistical
mechanics. It is safe to claim that Jones work along with that
of Connes has been instrumental in revitalizing the subject of
von Neumann algebras giving it a much vaster scope, and making
it a central part of Modern Mathematics.
In addition to the Fields medal he has enjoyed a variety of awards
and distinctions, the complete list of which may be too tedious
to list here. Suffices it to single out, among his fellowships
in various prestigous societies like the Royal Society, the AASA
and the National Academy of Sciences, the award of the Honorary
vice Presidency for life of the International Guild of Knot Tyers,
a position he has enjoyed since 1992.