Mathematical Sciences Research Institute

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Advances in Algebra and Geometry April 28, 2007 - May 04, 2007
Registration Deadline: April 20, 2007 about 10 years ago
To apply for Funding you must register by: January 28, 2007 over 10 years ago
Parent Program: --
Organizers David Ellwood, Joe Harris, Craig Huneke, Hugo Rossi, Frank-Olaf Schreyer, Bernd Sturmfels, Julius Zelmanowitz

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Clay Mathematics Institute logoThis workshop is partially supported by the Clay Mathematics Institute. The goal of the workshop is to focus on some long term developments in Algebra, Geometry and Computation. It will bring together individuals working in these different areas who by-and-large have not had the opportunity to interact with one another, much less collaborate with each other. Despite this lack of opportunity, there a great deal of common mathematics which can be shared by this group. Specifically, the main topics of the workshop will be:

  1. Enumerative and birational geometry of the moduli space of curves.
  2. Homological algebra.
  3. Symbolic computation.
  4. Commutative algebra.
  5. Postulation, equations, and syzygies.
  6. Special varieties.

It is not a coincidence that these topics represent areas in which MSRI's Director, David Eisenbud, has made seminal research contributions. The timing of the workshop also coincides with David's 60th birthday and occurs as he is preparing to step down as Director at the end of this academic year. Thus this workshop will also afford the opportunity to honor David's many and varied lifetime contributions to the vitality of the mathematical sciences. Invited speakers include: Vladimir Arnold*, Luchezar Avramov, David Buchsbaum, Mark Green, Juergen Herzog, Melvin Hochster, Sheldon Katz, Gennady Lyubeznik, Shigeru Mukai, Mircea Mustata, Irena Peeva, Sorin Popescu, Michael Singer, Greg Smith, Karen Smith, Mike Stillman, Bernd Ulrich. (* indicates not yet confirmed) The schedule is planned to begin on Saturday afternoon, April 28, 2007, with a dinner for registered participants that evening, and a relatively small number of formal talks scheduled for each day, Sunday April 29, 2007, through Friday May 4, 2007. This will allow time for more informal seminars and presentations that can be scheduled at or immediately before the workshop begins. On the evening of Thursday, May 3, 2007, there will be a conference banquet honoring the scholarship and leadership of MSRI's Director, David Eisenbud, on the occasion of his 60th birthday.

A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: K90000. The cut-off date for reservations is March 28, 2007. A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. The following Group Code should be entered in the "Comment" field when booking through our Website. Group Code = CGMS40. Please note: The Original Queen room type does not have an in-room T1 connection, but we do have WIFI available in our main lobby area. The cut-off date for reservations is March 28, 2007.

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Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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A block of rooms has been reserved at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability.

Additional lodging options (short term housing page - Short Term Housing

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Show Schedule
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Apr 28, 2007
04:00 PM - 05:00 PM
  Tonic Varieties and Quivers
Gregory Smith (Queen's University)
Apr 29, 2007
09:30 AM - 10:30 AM
  Differential Dependence and Differential Groups
Michael Singer (North Carolina State University)
11:00 AM - 12:00 PM
  Quiver Representations and Geometry of Calabi-Yau Threefolds
Sheldon Katz (University of Illinois at Urbana-Champaign)
Apr 30, 2007
09:30 AM - 10:30 AM
  Hilbert's 14th Problem for the Kronecker Quiver
Shigeru Mukai
11:00 AM - 12:00 PM
  Elimination Theory for Tropical Varieties
Bernd Sturmfels (University of California, Berkeley)
02:00 PM - 03:00 PM
  The Tangent Space to the Space of Algebraic Cycles
Mark Green (University of California, Los Angeles)
May 01, 2007
09:30 AM - 10:30 AM
  Volumes of Graded Linear Series and Convex Bodies
Mircea Mustaţă (University of Michigan)
11:00 AM - 12:00 PM
  Stanley Decompositions
Juergen Herzog
02:00 PM - 03:00 PM
  Finitistic Global Criteria for the Gorenstein Property
Luchezar Avramov (University of Nebraska)
May 02, 2007
09:30 AM - 10:30 AM
  Some Observations on the Absolute Integral Closure of a Local Domain in Mixed Characteristic
Gennady Lyubeznik (University of Minnesota Twin Cities)
11:00 AM - 12:00 PM
  High Rank Syzygies on Low-rank Quadrics
Mike Stillman (Cornell University)
May 03, 2007
09:30 AM - 10:30 AM
  Numerical Criteria for Integral Dependence
Bernd Ulrich (Purdue University)
11:00 AM - 12:00 PM
  Tight Closure and Big Cohen-Macaulay Algebras
Melvin Hochster (University of Michigan)
02:00 PM - 03:00 PM
  Continued Fractions of Quadratic Irrationals
Vladimir Arnold
03:45 PM - 04:45 PM
  Advances in Algebra and Geometry
Vikram Mehta (University of Bombay)
May 04, 2007
09:30 AM - 10:30 AM
  DuBois Singularities
Karen Smith (University of Michigan)
11:00 AM - 12:00 PM
  The Flow of Homology Through Algebra: A Selective Overview
David Buchsbaum
02:00 PM - 03:00 PM
  Jim Simons (with Dennis Sullivan) Title: Enriching Cohomology With A Ring Of Differential Characters
James Simons (Simons Foundation)
02:30 PM - 03:30 PM
  Jim Simons (with Dennis Sullivan) Title: Enriching Cohomology With A Ring Of Differential Characters
James Simons (Simons Foundation)
03:00 PM - 03:45 PM
  Dennis Sullivan (with Jim Simons) Title: Manifolds With Singularities And Differential Cohomology
Dennis Sullivan