Leverhulme lectures on
On the crossroads of integrable systems,
analytic difference equations, special functions and Hilbert
space
by
Simon Ruijsenaars
(Centre for Mathematics and Computer
Science, Amsterdam)
These lectures are generously supported by the
Leverhulme Trust
Professor Simon Ruijsenaars, Centre for Mathematics and Computer
Science, Amsterdam, is a Leverhulme Visiting Professor at
Loughborough University. There will be three visits. The first is
May 1 - June 30, 2006. Professor Ruijsenaars will give two
Leverhulme lectures entitled
"On the crossroads of integrable systems,
analytic difference equations, special functions and Hilbert
space."
The lectures will be at 3pm on June 15 and 16 in room RT037 of the
Sir Frank Gibb Building (Civil and Building Engineering) at the
western end of
Loughborough University campus. The first lecture will be a general
overview and the second lecture will be a simple case study. Both
lectures will be colloquium style. He will then give a series of
lectures on integrable systems over the next two weeks. All
lectures will be accessible to PhD students. Lectures in the two subsequent
visits will elaborate on analytic difference equations/special functions
and Hilbert space aspects, respectively.
Programme
On the crossroads of integrable systems,
analytic difference equations, special functions and Hilbert
space
3 pm, Thursday, June 15 and Friday, June 16, 2006
Room RT037 of the
Sir Frank Gibb Building (Civil and Building Engineering) at the
western end of
Loughborough University campus.
Lectures on integrable systems
June 19 (Monday), 21 (Wednesday), 26 (Monday) and 28 (Wednesday), 2006
All lectures will be at 3 pm in room W005a of the
Sir David Davies Building (Mathematical Sciences, Physics, Electronic and Electrical Engineering) at the
western end of
Loughborough University campus.
The four lectures on integrable systems will mostly deal with systems of Calogero-Moser-Sutherland-Toda type. Previous lecture notes containing more background and further material on related topics include
Classical Soliton Systems
and
Systems of Calogero-Moser Type.
Lectures on the theory of analytic difference equations and special
functions.
Lectures on first-order difference equations and special functions defined by them will be held on
December 8 and 15 from 2-4 pm. Both lectures will be in room W005b.
The second-order case will be dealt with in lectures on
January 15 (in room RT033) and 17 (in room W005b) from 2-4 pm.
Some useful reprints are available on the
First order case
and
ADEs and special functions.
Hilbert space aspects of analytic difference operators
Professor Ruijsenaars will give four survey lectures, aimed toward understanding various Hilbert space aspects of analytic difference operators. As an introduction, the first two lectures are primarily concerned with a sketch of the theory of unbounded self-adjoint operators, along the lines of Subsection 4.1 in the Banff lecture notes.
The last two lectures will focus on the Hilbert space theory associated with the special analytic difference operators encountered in integrable systems, omitting most technicalities.
More comprehensive information on these special cases can be found in the reviews
1 and 2 on the reflectionless and hyperbolic case, and in the paper on the elliptic case.
The lectures will take place on
Wednesday 30 May,
Friday 1 June,
Tuesday 5 June and
Friday 8 June.
All lectures will be from 2-4 pm in Room W005a in the
Sir David Davies Building.
How to get to Loughborough
Here you can find a map of
the campus of Loughborough University
and some general instructions on
how to reach the university.
For those arriving by train, there is normally a good taxi service.
Alternatively, a bus shuttle service departs from Loughborough
Station every 10 minutes
(Kinchbus No 7.) The bus
stops in the Town Centre
outside the Griffin Inn at the top of Market Street and continues
past the School of Art and
Design (LUSAD) entering the University campus on Epinal Way. It
travels along University Road,
which bisects the campus along its length, and turns near the
Department of Mechanical
Engineering (which is just 50 m. from our Department) to return to
the Rail Station by the same route.
If you arrive by car, the easiest way to reach the campus by car
is via the M1,
exit at junction 23; take the A512
towards Loughborough, and at the
first roundabout go right and then left. The first building you come
to is the Sir David Davies Building ,
which hosts the
Mathematical Sciences and the Department of
Physics.
Alternatively, if you arrive through Loughborough town center,
take the A512
heading South: this passes on the side of the campus (the science and
engineering buildings
are the furthest from the town center). Turn left at the "British Gas
roundabout" and then
left as above.
Other Mathematical Physics Links
These are links to other WWW sites of interest for Mathematical Physics:
Accommodation
Accommodation in the Loughborough area
For more information contact
Rod Halburd
Department of
Mathematical Sciences | Loughborough
University