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Advances in Algebra and Geometry

April 28, 2007 to May 04, 2007
Organized By: David Ellwood, Joe Harris, Craig Huneke, Hugo Rossi, Frank-Olaf Schreyer, Bernd Sturmfels, Julius Zelmanowitz
 
Participant List:
View a List of Registered Participants
 
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.
 

Follow this link to read about the new U.S. visa requirements

 

Schedule

Saturday April 28, 2007

01:30PM - 02:00PM  Welcome and Introductions
02:00PM - 03:00PM  Irena Peeva Hilbert Schemes
03:00PM - 04:00PM  Afternoon Tea
04:00PM - 05:00PM  Gregory Smith Toric Varieties and Quivers    (See Abstract)
06:30PM - 09:00PM  Participant Dinner, Peony Restaurant (reservation required by 4/18/07)

Sunday April 29, 2007

09:00AM - 09:30AM  Morning Coffee
09:30AM - 10:30AM  Michael Singer Differential Dependence and Differential Groups    (See Abstract)
10:30AM - 11:00AM  Coffee Break
11:00AM - 12:00PM  Sheldon Katz Quiver representations and geometry of Calabi-Yau threefolds
02:00PM - 05:00PM  Informal Talks (tentative)

Monday April 30, 2007

09:30AM - 10:30AM  Shigeru Mukai Hilbert's 14th problem for the Kronecker quiver
10:30AM - 11:00AM  Coffee Break
11:00AM - 12:00PM  Sorin Popescu TBD
02:00PM - 03:00PM  Mark Green The tangent space to the space of algebraic cycles
03:00PM - 03:45PM  Afternoon Tea
04:10PM - 05:00PM  MSRI Evans Lecture, 60 Evans Hall
05:30PM - 06:30PM  Martha Wasley: Mozart Piano Sonatas

Tuesday May 1, 2007

09:30AM - 10:30AM  Mircea Mustata Volumes of graded linear series and convex bodies
10:30AM - 11:00AM  Coffee Break
11:00AM - 12:00PM  Juergen Herzog Stanley decompositions    (See Abstract)
02:00PM - 03:00PM  Luchezar Avramov Finitistic global criteria for the Gorenstein property    (See Abstract)
03:00PM - 04:00PM  Informal Talks (tentative)
04:00PM - 05:00PM  Reception

Wednesday May 2, 2007

09:30AM - 10:30AM  Gennady Lyubeznik Some observations on the absolute integral closure of a local domain in mixed characteristic
10:30AM - 11:00AM  Coffee Break
11:00AM - 12:00PM  Mike Stillman High rank syzygies on low-rank quadrics
12:00PM - 05:00PM  Free Afternoon

Thursday May 3, 2007

09:30AM - 10:30AM  Bernd Ulrich Numerical criteria for integral dependence    (See Abstract)
10:30AM - 11:00AM  Coffee Break
11:00AM - 12:00PM  Melvin Hochster Tight closure and big Cohen-Macaulay algebras
02:00PM - 03:00PM  Vladimir Arnold Continued fractions of quadratic irrationals    (See Abstract)
03:00PM - 03:45PM  Afternoon Tea
03:45PM - 04:45PM  Informal Talks TBA
06:00PM - 09:00PM  Conference Banquet at Hs. Lordships (reservation required by 4/18/07)

Friday May 4, 2007

09:30AM - 10:30AM  Karen Smith DuBois Singularities    (See Abstract)
10:30AM - 11:00AM  Coffee Break
11:00AM - 12:00PM  David Buchsbaum The flow of homology through algebra: a selective overview
02:00PM - 02:45PM  Jim Simons (with Dennis Sullivan) Title: Enriching Cohomology With A Ring Of Differential Characters    (See Abstract)
03:00PM - 03:45PM  Dennis Sullivan (with Jim Simons) Title: Manifolds With Singularities And Differential Cohomology    (See Abstract)

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