Vanderbilt University, Department of Mathematics
Nashville, Tennessee, USA
The Clay Mathematics Institute
international conference and spring school on
NONCOMMUTATIVE GEOMETRY AND APPLICATIONS
in conjunction with the
18th Annual Shanks Lecture
honoring Baylis and Olivia Shanks
Shanks Lecturer: Alain Connes, IHES & College de
France
Friday, May 2 to Tuesday, May 13, 2003
Schedule
This conference/school will feature a lecture series by
Alain Connes and
several mini-courses by leading experts in noncommutative geometry and
its applications to physics and geometry. In addition there will be
a number of invited research talks and short contributions. Since a
major component of the meeting will be the school, we strongly encourage
graduate students and postdocs to participate.
Talks will start on Friday, May 2 in the morning and end around noon on
Tuesday, May 13. We will have a day off on Friday, May 9
(Vanderbilt's commencement takes place on that day).
All talks will be held in
103 Wilson Hall
unless otherwise noted (click to see
pictures of
Wilson Hall).
Click here to see a schedule of talks
.
If you would like to download the schedule of talks as a postscript or
a text (ASCII) file, please follow the links:
schedule of talks (postscript file, 117k) or
schedule of talks (ASCII file).
Click to see the list of participants
(postscript file, 75k), or list of participants
(ASCII file) (updated 5/11/03).
Lecture Notes
Bellissard
Chabert
A. Connes, C*-algebras and Differential Geometry
A. Connes, H. Moscovici, Cyclic Cohomology and Hopf Symmetry
A. Connes, A Short Survey of Noncommutative Geometry
A. Connes, H. Moscovici, Differentiable cyclic cohomology and Hopf algebraic structures in transverse geometry
A. Connes, Michel Dubois-Violette, Noncommutative finite-dimensional manifolds. I. Spherical manifolds and related examples
A. Connes, Cyclic Cohomology, Quantum group Symmetries and the Local Index Formula for SUq(2)
A. Connes, H. Moscovici, Modular Hecke Algebras and their Hopf Symmetry
A. Connes, H. Moscovici, Rankin-Cohen Brackets and the Hopf Algebra of Transverse Geometry
Debord
Dumitrascu
Guentner
Hadfield
Higson, lecture notes and slides
Konechny, lecture 1
Konechny, lecture 2
Konechny, lecture 3
Monthubert
Oyono-Oyono, lecture
Oyono-Oyono, preprint (with Chabert, Echterhoff)
Ponge
Wright
Invited Speakers
The following people have agreed to give mini-courses on the topics
indicated in italics.
- Alain Connes, IHES & College de France,
Shanks Lecturer
Noncommutative Geometry and Applications
- Paul Baum, Penn State University
The Index of Elliptic Operators and K-theory for Group C*-algebras
(an Introduction to Noncommutative Geometry)
- Jean Bellissard, Georgia Institute of Technology
The Noncommutative Geometry of Aperiodic Solids
- Joachim Cuntz, University of Muenster
Cyclic Homology and the Bivariant Chern-Connes Character
- Nigel Higson, Penn State University
The Local Index Formula in Noncommutative Geometry
- Gennadi Kasparov, Vanderbilt University
Introduction to Bivariant K-theory
- Anatoly Konechny, Hebrew University
Some Applications of Noncommutative Geometry to M-theory
- Henri Moscovici, Ohio State University
Symmetry in Transverse Geometry
- Mihai Pimsner, University of Pennsylvania
Introduction to K-theory for Operator Algebras
- Marc Rieffel, UC Berkeley
Introduction to Noncommutative Differential Geometry
- Joseph Varilly, Universidad de Costa Rica
Some Applications of Noncommutative Geometry to Physics
Additional talks will be given by the following people:
- Jacek Brodzki (University of Southampton)
K-homology for Coxeter groups
- Jerome Chabert (Universite Blaise Pascal, Aubiere)
Kuenneth formula and Baum-Connes conjecture
- Claire Debord (Universite de Haute-Alsace, Mulhouse)
K-duality for singular manifolds
- Ron Douglas (Texas A&M University)
Some personal reminiscenses on the origins of BDF theory
- Dorin Dumitrascu (Dartmouth College)
Asymptotic Kasparov cycles and applications
- Guihua Gong (University of Puerto Rico)
On the classification of simple inductive limit C*-algebras
- Alexander Gorokhovsky (University of Colorado Boulder)
Local Index Theory for Foliations I
- Erik Guentner (University of Hawaii)
Uniform embeddability: properties and examples
- Tom Hadfield (University College, Cork)
Noncommutative geometry of the discrete Heisenberg group
- Peter Haskell (Virginia Tech)
Heat kernels for perturbed Dirac operators
- Arthur Jaffe (Harvard University)
Dirac Operators from Grassmann-Pfaffian Integrals
- Jerry Kaminker (IUPUI)
Asymptotically Flat K-Theory
- Masoud Khalkhali (The University of Western Ontario)
Hopf-cyclic homology and cohomology with coefficients
- Hanfeng Li (Fields Institute)
Morita equivalence of higher-dimensional noncommutative tori
- John Lott (University of Michigan)
Local Index Theory for Foliations II
- Vladimir Manuilov (Moscow State University)
C*-algebra extensions and asymptotic homomorphisms
- Bertrand Monthubert (Universite Paul Sabatier, Toulouse)
Index theory on singular manifolds: a groupoids approach
- Herve Oyono-Oyono (Universite Blaise Pascal, Aubiere)
Going-down functors
- Narutaka Ozawa (University of Tokyo/UCLA)
Some prime factorization results for type II_1 factors
- Roger Plymen (Manchester University)
Local-global principle for the Baum-Connes conjecture with coefficients
- Raphael Ponge (Ohio State University)
A new short proof of the local index formula of Atiyah-Singer
- Anca Tureanu (University of Helsinki)
On some aspects of noncommutative quantum field and gauge theories
- Shouzhou Wang (University of Georgia)
TBA
- Shmuel Weinberger (University of Chicago)
Applications of coefficients
- Nick Wright (Vanderbilt University)
A coarse Baum-Connes conjecture with coefficients
Registration
All participants are asked to register.
Please download the
registration form here, fill it out
and email it to the
Organizing Committee (click on ``registration form here'', then
save the registration form to a file (use your browser's ``Save page as''
feature), edit it and email the file as an attachment to the organizing
committee).
If you prefer an email version of the registration form, please request
it by email from the
Organizing Committee.
If you intend to request support, please read the section ``Financial Aid''
before filling out the registration form.
Financial Aid
We expect that some financial support will be available to (partially) fund
graduate students and postdoctoral researchers. We encourage those of
you who are asking for support to share accommodations. If you plan
to apply for funding, please fill out the registration form (see section
``Registration'') at your earliest convenience and provide the information
requested. Please submit your request for
financial support by March 15, 2003. Late applications will
be considered as long as financial support is available.
Note that we are unable to provide any support in advance.
Reimbursement policy.
Please be advised that according to U.S. immigration laws, individuals who
enter the U.S. and wish to be reimbursed for travel related expenses should
enter only on a B-1, WB or J-1 visa (WT and B-2 visa do not permit
reimbursement of any expenses). Individuals who enter via automobile
from Canada or Mexico should enter on a J-visa. Entering on a Visa Waiver
is discouraged due to concerns as to how the new law will be interpreted.
Canadian visitors are not required to have an I-94 when entering the
country.
NSF funds can
be used for reimbursement of air fare only if a U.S. flag carrier has
been used.
Upon arriving, please see Ms. Geneva Shilliday in the math office
for the necessary forms to be filled out and returned prior to your
departure. We will need all original receipts for any expenses for which
reimbursement is claimed.
Accommodation
Rooms have been reserved in the following hotels (in alphabetical order).
The quoted rates below may not include a 14.25% state and city tax.
When you make the reservation for your room, please mention
the
``Vanderbilt Geometry Conference 2003''. Many of the rooms are doubles
or suites and can be shared. Since we have reserved only a limited number
of rooms in each hotel, we recommend that you make your reservations
as soon as possible in the hotel of your choice.
- Days Inn Vanderbilt-Music Row, 1800 West End Ave., Nashville, TN
37203, $65 per night. About 4 blocks away. Walking distance (10-15 minutes).
Phone (615) 327-0922 or fax
(615) 327-0102. Reserve 30 days prior to
arrival.
- Embassy Suites Hotel, 1811 Broadway,
Nashville, TN 37203,
$99 per night for a stay of at least 5 nights, otherwise $109 per
night. Walking distance (10 minutes). Phone (615) 320-8899 or fax
(615) 320-8881 (mention the 2003 Geometry conference at Vanderbilt).
For reservations you may also call 1-800-EMBASSY.
Reserve by April 1, 2003.
- Hampton Inn Vanderbilt,
1919 West End Ave., Nashville, TN 37203,
$89 per night week day rate, $149 per night on 5/8, 5/9 and 5/10/03.
1 or 2 blocks away. Walking distance (5 minutes).
Phone (615) 329-1144 or fax (615) 320-7221 (mention
``Vanderbilt Geometry Conference''). Reserve by April 5,
2003.
- Holiday Inn Select Vanderbilt,
2613 West End Ave., Nashville, TN
37203, $80 per night. 6 or 7 blocks away. Walking distance (15 minutes).
Phone (615) 327-4707 or fax (615) 327-8034. For reservations
you may also call (800) 633 4427. Reserve by April 2,
2003.
Other nearby hotels include:
- Extended Stay America, (615) 383-7490.
- Guesthouse Inn and Suites Medcenter, (615) 329-1000.
- Hampton Inn and Suites, Elliston Place, (615) 320-6060.
- Loew's Vanderbilt Plaza Hotel, (615) 320-1700 (luxury budgets
only!).
- Quality Inn Hall of Fame, (615) 242-1631.
- Shoney's Inn, I-40 and Demonbreun, (615) 255-9977,
Travel Information
Follow the links below for directions, maps, information regarding parking etc..
Organizing Committee
Dietmar Bisch (Vanderbilt), David Ellwood (Clay Mathematics Institute & Boston
University), Bruce Hughes (Vanderbilt), Gennadi Kasparov
(Vanderbilt) and Guoliang Yu (Vanderbilt).
Sponsors
The conference/school is co-organized by the
Clay Mathematics Institute (CMI).
Sponsors include CMI, the National Science Foundation, the Shanks foundation,
and Vanderbilt University.
Poster: Click here to download the
conference poster (pdf file, 129kb).
Further Information
Further information may be obtained from
the following sources.
Last update 5/12/03.