Vanderbilt University, Department of Mathematics
Nashville, Tennessee, USA

THE THIRD ANNUAL SPRING INSTITUTE

ON

NONCOMMUTATIVE GEOMETRY AND OPERATOR ALGEBRAS

in conjunction with the

20th ANNUAL SHANKS LECTURE

honoring Baylis and Olivia Shanks

Shanks Lecturer: Vaughan Jones, UC Berkeley

May 9 to May 20, 2005

The Third Annual Spring Institute on Noncommutative Geometry and Operator Algebras is a combination of spring school and international conference. During the school part of the meeting several mini-courses on a variety of topics from NCGOA will be given by leading experts. The conference will comprise a number of invited research talks and short contributions. We strongly encourage students and postdocs to attend this conference. Please read the section on financial aid below regarding information on how to apply for financial support.

For information on the Clay Mathematics Institute/Shanks international conference and spring school on Noncommutative Geometry and Applications in May 2003 (=the First Annual Spring Institute on NCGOA), please click here. For information on the Second Spring Institute on NCGOA, please click here.

The home page of the research group in noncommutative geometry and operator algebras at Vanderbilt University can be found here.

Schedule

Talks will start at 9:15 am on Monday, May 9, 2005, and end at noon on Friday, May 20, 2005. Friday, May 13, 2005, will be a day off since commencement/graduation will take place at Vanderbilt on that day. All lectures will be held in Lecture Hall 4309, Stevenson Center (for short SC). The seminar room SC 5208 (right next to SC 4309) and the seminar rooms in the math building (e.g. SC 1312, SC 1320, SC 1403, SC 1404) are available for discussions. Limited computer access is available in the computer lab of the mathematics department (SC 1427). Moreover Vanderbilt campus has a wireless network which is accessible from many campus locations.

Directions to the lecture hall. The Stevenson Center consists of several buildings. The mathematics department is located in building 1 and the lecture hall in building 4, which are right next to each other. For more details, please consult the campus map (click on ``Building List'', then ``Mathematics Building, Stevenson Center'' to find the math department and on ``Building List'', then ``Lecture Halls/Stevenson Center'' to find the lecture hall. Note that the map is zoomable.).

Schedule. Click here to see the the schedule (pdf file) (or the schedule (ASCII file)).

List of participants and abstracts. Click here to see the a list of participants (pdf file) or list of participants (ASCII file) and here to see the abstracts (pdf file) or abstracts (ASCII file).

Information sheet. Click here to see the information sheet (postscript file).

Invited Speakers

The following people have been invited to give mini-courses:

Claire Anantharaman-Delaroche, Université d'Orléans
Correspondences and Type II₁ Factors
Alain Connes, Collège de France, IHES & Vanderbilt University
Von Neumann Algebras and Noncommutative Geometry
Uffe Haagerup, University of Southern Denmark (Odense)
Invariant Subspaces for Operators in II₁ Factors
Vaughan Jones, UC Berkeley
Shanks Lecture: A Trip to the Subfactor Circus
Mini-Course: A Short Course in Planar Algebra
Narutaka Ozawa, University of Tokyo and UCLA
Hyperbolic Groups and Type II₁ Factors
Sorin Popa, UCLA
Deformation and Rigidity Techniques in the Classification of II₁ Factors
Dimitri Shlyakhtenko, UCLA
Free Probability and L²-Invariants in Operator Algebras
Dan Voiculescu, UC Berkeley
Topics in Free Probability Theory

Feng Xu, UC Riverside
The Standard Invariant of a Subfactor

The following people have been invited to give additional talks:

Teodor Banica, Université Paul Sabatier (Toulouse)
Random Walks on Discrete Quantum Groups
Dietmar Bisch, Vanderbilt University
A Notion of Free Product for Planar Algebras
Florin Boca, University of Illinois at Urbana-Champaign
Some Statistical Problems Related to the Equation ad-bc=1
Ken Dykema, Texas A&M University
Multilinear Function Series and Transforms in Free Probability Theory
Alex Furman, University of Illinois at Chicago
Measure Equivalence and Rigidity of Higher Rank Lattices
Shamindra Ghosh, University of New Hampshire
Representations of a Planar Algebra
Pinhas Grossman, UC Berkeley
Intermediate Subfactors with No Extra Structure
Adrian Ioana, UCLA
Amalgamated Free Products of w-rigid Factors and Calculation of their Symmetry Groups, part II
Kenley Jung, UCLA
Some Free Entropy Dimension Inequalities for Subfactors of Finite Index
Yasuyuki Kawahigashi, University of Tokyo
Classification of Extensions in Algebraic Quantum Field Theory and Vertex Operator Algebras
Roberto Longo, University of Rome Tor Vergata (Rome 2)
Noncommutative Spectral Invariants and Black Hole Entropy
Wolfgang Lück, Universität Münster
Middle Algebraic K-theory of von Neumann Algebras, Group C*-Algebras and Group Rings
Matilde Marcolli, Max-Planck-Insitute Bonn
KMS States and Complex Multiplication
Sergey Neshveyev, University of Oslo
Types of von Neumann Algebras Arising from Boundary Actions of Hyperbolic Groups
Remus Nicoara, Vanderbilt University
On II₁ Factors Arising from 2-Cocycles of w-rigid Groups
Jesse Peterson, UCLA
Amalgamated Free Products of w-rigid Factors and Calculation of their Symmetry Groups, part I
Florin Radulescu, University of Rome Tor Vergata (Rome 2)
A Hochschild ``Obstruction'' to Isomorphism and the Rademacher Function
Roman Sauer, Universität Münster
Another Approach to Gaboriau's L²-Betti Numbers of Equivalence Relations
Hanne Schultz, University of Southern Denmark
Brown Measures of Sets of Commuting Operators in a II₁ factor
Roland Speicher, Queen's University
Free Probability and Random Matrices
Yoshimichi Ueda, Kyushu University
HNN Extensions of von Neumann Algebras
Alain Valette, Université de Neuchâtel
Group II₁-factors with Trivial Fundamental Group and all L²-Betti Numbers Zero
Zhenghan Wang, Indiana University
Quantum Topology, Quantum Physics and Quantum Computing
Antony Wassermann, CNRS, Luminy
Outomorphic Representations of Locally Compact Groups on Operator Algebras

Transparencies and other material related to the talks

Teodor Banica (link to home page, downloadable articles)

Alain Connes (transparencies of talk, pdf file)

Alain Connes (link to home page which contains downloadable articles etc.)

Pinhas Grossman (transparencies of talk, ps file)

Adrian Ioana (transparencies of talk, ps file)

Adrian Ioana (transparencies of talk, dvi file)

Yasuyuki Kawahigashi (link to downloadable preprints)

Roberto Longo (transparencies of talk, pdf file)

Wolfgang Lück (link to home page, downloadable articles)

Remus Nicoara (transparencies of talk, dvi file)

Narutaka Ozawa (LN of mini-course, pdf file)

Jesse Peterson (transparencies of talk, pdf file)

Jesse Peterson (home page)

Hanne Schultz (Brown measure of sets of commuting operators, pdf file)

Hanne Schultz (link to home page, downloadable articles)

Dima Shlyakhtenko (transparencies of talk 1, pdf file)

Dima Shlyakhtenko (transparencies of talk 2, pdf file)

Yoshimichi Ueda (transparencies of talk, pdf file)

Alan Valette (transparencies of talk, ps file)

Alan Valette (transparencies of talk, dvi file)

Dan-Virgil Voiculescu (references for mini-course, ASCII file)

Registration

All participants are asked to register. Please download the registration form here, fill it out and email it to the organizing committee at ncgoa05[at]math[dot]vanderbilt[dot]edu (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. There will be a registration fee of $30. If you intend to request support, please read the section ``Financial Aid'' before filling out the registration form.

Financial Aid

We hope that financial support will be available to (partially) fund graduate students, postdoctoral researchers and other participants without grant support. 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 April 3, 2005. 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. Please call your local US consulate or embassy and inquire what the rules are pertaining to your country. 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 (i.e. a U.S. airline) has been used.

Upon arriving, please see the staff person at the registration desk 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 and copies of your visa if applicable.

Accommodation

Rooms have been reserved in the following hotels (in alphabetical order). The quoted rates below do not include a 14.25% state and city tax. When you make the reservation for your room, please mention the ``The Third Spring Institute on Noncommutative Geometry and Operator Algebras''. Many of the rooms are doubles 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.

Courtyard by Marriott, 1901 West End Ave., Nashville, TN 37203, $97 per night (single and double room rates are the same). Walking distance (10-15 minutes). For reservations please call Marriott Reservations at 800-245-1959 or the hotel directly at (615) 327-9900 (mention Shanks Lecture-Third Spring Institute on Noncommutative Geometry & Operator Algebras for Vanderbilt Mathematics Department). Reserve by April 24, 2005.
Days Inn Vanderbilt-Music Row, 1800 West End Ave., Nashville, TN 37203, $65 per night (single and double room rates are the same). About 4 blocks away. Walking distance (15 minutes). Phone (615) 327-0922, fax (615) 327-0102. Reserve by April 8, 2005 (mention the room block for the Vanderbilt Mathematics Department).
Hampton Inn Nashville/Vanderbilt, 1919 West End Ave., Nashville, TN 37203, special rate of $79 per night. 1 or 2 blocks away. Walking distance (10 minutes).
Hampton Inn & Suites Nashville-At the University, 2330 Elliston Place, Nashville, TN 37203, special rate of $79 per night. 3 blocks away. Walking distance (15 minutes).
To make a reservation call (615) 329-1144 (Hampton Inn Nasvhille/Vanderbilt) resp. (615) 320-6060 (Hampton Inn & Suites Nashville-At the University). You can also call toll free 1-800-426-7866. The fax number is (615) 321-7282. See www.hamtponinnnashville.com for more information. Reserve by April 8, 2005 (mention that you are with The Noncommutatve Geometry and Operator Algebras group, or use the group code NCG, to receive the special rate of $79.00 plus 14.25% tax available at both properties. You can also book online using the group code, NCG, to receive the special rate).
Holiday Inn Select Vanderbilt, 2613 West End Ave., Nashville, TN 37203, $91 per night (single and double room rates are the same). 6 or 7 blocks away. Walking distance (10-15 minutes). Phone (615) 327-4707, fax (615) 327-8034. For reservations you may also call (800) 633 4427. Reserve by Saturday, April 9, 2005 (ask for the Third Spring Institute Conference Room block).

Other nearby hotels include:

Embassy Suites Hotel, 1811 Broadway, Nashville, TN 37203. Walking distance (10 minutes). Phone (615) 320-8899, fax (615) 320-8881. For reservations you may also call (800) EMBASSY.
Extended Stay America, (615) 383-7490. Walking distance, 15 minutes walk. Ask for the weekly rates.
Quality Inn Hall of Fame, (615) 242-1631.

Remark 1: Sometimes the best hotel room rates can be obtained by reserving a room via the internet.
Remark 2: The Extended Stay America has offered good rates in the past for longer stays (weekly rates). You may want to check it out first and compare rates.

Travel Information

Follow the links below for directions, maps, information regarding parking, airport, weather etc..

Getting to Vanderbilt. How to get to Nashville, and then how to get to the Vanderbilt area.
Directions to Vanderbilt University. Another page with directions to campus, directions to parking etc..
A zoomable campus map.
Another map , which shows the lecture hall and the math department.
Parking at Vanderbilt. A link to the office of traffic and parking at Vanderbilt University. Parking information for visitors.
Nashville International Airport . Flight information, airport guide, ground transportation.
Incare Shuttle Service (airport shuttle). Incare Shuttle Service, 1102 Buchanan St., Nashville, TN 37203, (615) 255-3519.
A virtual tour of campus.
Vanderbilt University, campus webcams.
Vanderbilt University home page.
Department of Mathematics at Vanderbilt University.
Restaurants. A list of restaurants close to campus.
More information on Nashville.
Current weather in Nashville.
The Nashville Scene.
The Tennessean.

Organizing Committee

Dietmar Bisch (Vanderbilt University), Alain Connes (Collège de France, IHES & Vanderbilt University; Director of the Third Annual Spring Institute), Bruce Hughes (Vanderbilt University), Gennadi Kasparov (Vanderbilt University) and Guoliang Yu (Vanderbilt University).

Further Information

Further information may be obtained from the following sources.

Email:	ncgoa05[at]math[dot]vanderbilt[dot]edu
Web:	http://www.math.vanderbilt.edu/~ncgoa05/
Web (NCGOA at Vanderbilt):	http://www.math.vanderbilt.edu/~ncgoa/
Regular mail:	NCGOA 2005 Department of Mathematics, SC 1326 Vanderbilt University Nashville, TN 37240, USA
Phone:	(615) 322-6672 (Department of Mathematics)
Fax:	(615) 343-0215
Contact Person:	Lori Rafter (same email address as above), (615) 322-4163

Last update 7/2/05.

Vanderbilt University, Department of Mathematics Nashville, Tennessee, USA