Connections in Modern Mathematics and Physics
Stony Brook, April 2-5, 1998
This special year of the Geometry Festival will be concerned with
the theory of connections and its role in recent developments in
mathematics and physics. Topics to be covered will include:
The mathematical work of Jim Simons has had an
enormous and ever increasing impact on the fields of
Mathematics and Physics. His insights and accomplishments were
seminal in areas which have developed into some of the most
active fields of research today. Furthermore, his seminar with
C. N. Yang in the early 70's led (through Yang, Wu, Atiyah,
Singer and others) to a widespread understanding of the
equivalence between gauge field theory in physics and the theory
of connections in differential geometry. This understanding
transformed the interactions between the worlds of mathematics
and theoretical physics throughout the last third of the century.
These interactions led to important progress particularly in
- Developments in gauge theory
such as Seiberg-Witten theory and Floer cohomology.
- Secondary invariants in topology
including the perturbative invariants for
3-manifolds and links arising from the Chern-Simons
- Secondary invariants in geometry - Index Theory
including higher eta-invariants, adiabatic limits,
holomorphic torsion, etc.
- Secondary Invariants in algebra and number theory
including the refined Riemann-Roch Theorem in
- Metrics with special holonomy.
- String theory and mirror symmetry.
- Pseudoholomorphic curves.
Much of Simons' work can be collected under the general rubric
of the theory of connections. Over this century, connections in
differential geometry have come to play a increasingly central
role in both mathematics and physics. Today they lie at the
foundations of the most intense research activity in a
surprisingly broad spectrum of fields. In fact progress has
been so great that these fields with a common root seem almost
unrelated. This conference brings together some of the world's
leading research mathematicians working in these areas.
- Scientific Committee:
- Jean-Michel Bismut, Jeff Cheeger,
S. S. Chern, Blaine Lawson, John Milnor, I. M. Singer,
Dennis Sullivan, C.-N. Yang.
Some partial support will be available
for graduate students and faculty without grants. The level of
support will be determined after the conference. Those who
qualify and wish to apply for partial support should indicate
this on their
In order to qualify for financial support
US citizens must
furnish Social Security Number and home address. Legal resident aliens
must present their green card and other foreign nationals must show proof
of one of the following visa types:
We will also need to see your passport with visa stamps.
- B-1 or WB visas with an I-94 form.
- J-1 visas with an I-94 and IAP 66 form.
- F-1 visas with an I-94 and I-20 form.
- TN visas with I-94 form.
There will be a banquet on Friday evening,
April 3, at the Ballroom of the Studen Union Building.
The price will be $35.00 per person.
Vegetarian and Kosher meals will be available.
Please indicate your choice of meal in the
On Saturday night, there will be a party at 8:30 PM,
at the home of Jim and Marilyn Simons in Setauket.
- Local Transportation:
Regular shuttle buses will be run between the
University and the three main
throughout the conference.
Participants can obtain parking permits
at the registration desk in room S-240 of the
Mathematics Building. These permits will allow
the use of any "faculty-staff" lot. Parking lots
are displayed as black rectangles in this
Please be aware that in order to use the parking garage
located next to the Administration Building
(represented with a grey rectangle in this map),
a fee has to be paid at its entrance.
We expect that on Thursday and Friday, parking near
to the Math Department will be difficult after 10:00 AM.
On Friday afternoon and during the weekend, it should
be much easier.
The South P-lot, located at the
southwestern corner of the Campus, has a regular
bus service to Central Campus.
- Registration Fee:
There is a registration fee of $35 ($20 for graduate students)
to cover coffee, doughnuts and bus service.
Should you want to help us advertise this conference
at your local institution, you can download and print
a low resolution PostScript file (1214349 bytes) of the
which prints on 8.5x11 inch paper.