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Principal Speaker: Thomas Farrell, Binghamton University (SUNY)
TITLE: The featured speaker will be Thomas Farrell of the Binghamton University (SUNY). He will give a series of three one-hour talks on "Topological Rigidity and Applications".
ABSTRACT:
Abstract. A closed manifold M is topologically rigid provided any homotopy
equivalence from a second closed manifold N to M is homotopic to a
homeomorphism. Spheres (except possibly the 3-sphere) are topologically rigid.
It is conjectured that every aspherical manifold is topologically rigid. We will
discuss a class of aspherical manifolds where this conjecture is true; namely
those that support Riemannian metrics of non-positive sectional curvature ( and
dim >4). We show how a somewhat stronger version of this result implies that
compact complete affine flat manifolds are determined up to homeomorphism by
their fundamental group. This is an analogue of a classical result due to
Bieberbach about flat Riemannian manifolds. Another application is to the
generalized Nielsen question: does every finite subgroup of Out(G) split back to
Top(M). Here G is the fundamental group of M and Top(M) is the group of all
self-homeomorphisms of M.
Analogous to topological rigidity one can discuss smooth rigidity. Here one must
put more constraints on M and N. Further applications are to harmonic maps, the
Ricci flow, and the Teichmuller space of all negatively curved Riemannian
metrics on M. Finally several open problems will be mentioned.
This series of 3 lectures is dedicated to L.E. Jones on the occasion of his
60’th birthday.
. . . T. Farrell
LIKELY PARTICIPANTS:
Email contact information for workshop attendees can be found at List of Attendees.
BackSCHEDULE: The Workshop will begin with a continental
breakfast at 8:00 am On Thursday June 9, and end around noon on Saturday June
11. An outing will be planned for Saturday afternoon/evening for those staying
over. Below is the preliminary schedule (Revisions may follow).
| Thursday, June 9th | |||
| 8:15 - 8:55 AM | Continental Breakfast --- Skilling Commons | ||
| 8:55 - 9:00 AM | Announcements | ||
| 9:00 - 10:00 AM | Tom Farrell | "Topological Rigidity and Applications (I)" | |
| 10:15 - 10:35 AM | Ranja Roy | "On characteristic numbers of non-positively curved manifolds" | |
| 10:40 - 11:00 AM | Ben Schmidt | "Simplicial volume of locally symmetric spaces of non-compact type" | |
| 11:05 - 11:25 AM | Dennis Garity | "Classification of simple Antoine Cantor sets" | |
| 11:30 - 12:55 PM | LUNCH | ||
| 1:00 - 1:20 PM | Jean Lafont | "Diagram rigidity for geometric amalgamations of free groups" | |
| 1:25 - 1:45 PM | Jaykov Foukson | "A definition of topological invariants for wild knots and links by means of construction of non standard internal S.Albeverio integral" | |
| 1:50 - 2:10 PM | Atish Mitra | "Cohomological dimension w.r.t. nonabelian groups" | |
| 2:15 - 2:35 PM | Bobby Winters | "Least Weight Lines in 2-manifolds" | |
| 2:40 - 5:00 PM | Informal sessions | ||
| Friday, June 10th | |||
| 8:15 - 8:55 AM | Continental Breakfast --- Skilling Commons | ||
| 8:55 - 9:00 AM | Announcements | ||
| 9:00 - 10:00 AM | Tom Farrell | "Topological Rigidity and Applications (II)" | |
| 10:15 - 10:35 AM | Nikolay Brodskiy | "Compression of uniform embeddings into Hilbert space" | |
| 10:40 - 11:00 AM | Craig Guilbault | "A solution to de Groot’s absolute cone conjecture" | |
| 11:05 - 11:25 AM | Jerry Venema | "Constructing PL 2-sphere complements" | |
| 11:30 - 12:55 PM | LUNCH | ||
| 1:00 - 1:20 PM | Bob Daverman | "Manifolds that are homotopically determined by their fundamental groups" | |
| 1:25 - 1:45 PM | Denise Halverson | "Detecting codimension one manifold factors with 0-stitched disks" | |
| 1:50 - 2:10 PM | Lenny Rubin | "Semi-sequences and Extension Theory" | |
| 2:15 - 2:35 PM | Fred Tinsley | "Tame ends of manifolds and the internal 'mistaken' construction" | |
| 2:40 - 5:00 PM | Informal sessions | ||
| Saturday, June 11th | |||
| 8:15 - 9:00 AM | Continental Breakfast --- Skilling Commons | ||
| 8:55 - 9:00 AM | Announcements | ||
| 9:00 - 10:00 AM | Tom Farrell | "Topological Rigidity and Applications (III)" | |
| 10:15 - 10:35 AM | Tadek Dobrowolski | "An application of the great Baire theorem" | |
| 10:40 - 11:00 AM | David Wright | "The Real Hyperbolic Plane" | |
| 11:05 - 11:25 PM | Problem session | ||
| 11:30 - 12:55 PM | LUNCH | ||
| 1:00 PM | Outing for those staying over until Sunday | ||
LOCATION: All talks will be in the main lecture hall of the Tutt
Science building. Continental breakfasts will be served each morning in the
Skilling Commons area on the floor above the main lecture hall. The Tutt
Science building is directly north of the Barnes Science Building in which the
last two workshops at Colorado College have been held.
HOUSING: Rooms have been reserved in the Antero apartments on campus. These accommodations include meals. You can sign up for a room and meals on campus at the same time you register. Alternatively, a block of accommodations has been reserved at the LeBaron Hotel, either a short walk up Monument Creek (about 20 minutes) or a very short drive from campus. NOTE: The conference host, Fred Tinsley, will handle reservations for Antero dormitory apartments on campus. Reservations for the LeBaron or other accommodations must be made directly by the participant (see below).
Antero: The cost is $46.00 per person per night.
This includes three meals a day at the Sodexho Marriott Food Service on
campus. All apartments have a separate sink, shower, and toilet.
Towels and bed linens are provided. Other amenities include a TV/VCR
combination, coffee pots, a fan and alarm clock for each bedroom. A
phone can be checked out for $5.00.
Each person will have a separate bedroom within an apartment. Be
sure to indicate your gender and desired roommates on the
registration form so that the host can place you appropriately.
Summer hours (Monday - Sunday) for
dining services at Rastall Cafeteria on Campus are as follows:
LeBaron Hotel: The workshop has reserved a block of rooms. These will be released May 25, 2005. The conference rate $89.00 + tax per night (single, double, triple, or quad). Check in time is 3:00 PM and check out time is 11:00 AM. The LeBaron is a very nice Best Western Motel with a restaurant, pool, exercise room, and other amenities. It has immediate access to the walking/running trail along Monument Creek. A 15-20 minute walk up the creek takes you to The Colorado College campus. Alternatively, a 5-minute drive up I-25 takes you to campus. It also has its own courtesy shuttle to and from the airport. You need to make your own reservations by calling 1-800-477-8610 or 1-719-471-8680. Identify yourself as being with the "Geometric Topology Workshop Block - June 8-11".
TRANSPORTATION: Colorado Springs has a regional airport. The LeBaron Hotel has its own courtesy car. Taxis and a shuttle are also available. Instructions for approaching the campus by car and for parking will be provided later.
BackFUNDING: Funds are available to support the travel and living expenses of participants without other means of support. Graduate students and recent Ph.D recipients are especially encouraged to apply. We ask that you obtain as much funding as possible from your home institution or other sources.
BackREGISTRATION:
ADDRESSES:
MAPS and DRIVING INSTRUCTIONS: Driving instructions and maps generated by MapQuest are available at the following links:
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Colorado College map links: |
ARRIVAL INFORMATION: Participants can pick up a folder of Workshop Information. If staying at the Le Baron, it will be at the main desk. If you are staying in Antero on Colorado College campus, please check in at the Loomis main desk (desk hours are from 8:00 am to midnight) and receive your CC folder with workshop info. The Loomis main desk can be reached by phone at (719)-389-6229.
BackPROCEEDINGS: Proceedings of the Twenty-Second Annual Workshop in Geometric Topology will be available on line.
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