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Workshop

Commutative Algebra: Local and Birational Theory December 02, 2002 - December 06, 2002
Registration Deadline: December 06, 2002 about 16 years ago
To apply for Funding you must register by: September 02, 2002 over 16 years ago
Parent Program:
Organizers Craig Huneke (chair), Paul Roberts, Karen Smith, and Bernd Ulrich.
Speaker(s)

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Description
This workshop will concentrate on several aspects of commutative algebra including birational algebra, tight closure and characteristic p methods, Rees algebra and their applications, intersection theory, multiplicities and mixed characteristic. The following speakers are expected to participate: L. Avramov, M. Blickle, S. Cutkosky, L. Ein, H. Flenner, N. Hara, R. Heitmann, M. Hochster, E. Hyry, T. Kawasaki, K. Kurano, J. Lipman, C. Polini, C. Rotthaus, A. Singh, N. Srinivas, I. Swanson, W. Vasconcelos, O. Villamayor, and K. Watanabe. For titles and abstracts, please see link below.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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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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Schedule, Notes/Handouts & Videos
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Dec 02, 2002
Monday
09:00 AM - 09:15 AM
  Introduction and Welcome
Loa Nowina-Sapinski
09:15 AM - 10:15 AM
  On hypersurface singularities and multiplicity
Orlando Villamayor (Autonomous University of Madrid)
10:15 AM - 10:45 AM
  Morning Tea
10:45 AM - 11:45 AM
  Adjoint-type modules and applications
Eero Hyry
11:45 AM - 01:30 PM
  Lunch
01:30 PM - 02:00 PM
  How I got into commutative rings
Irving Kaplansky
02:00 PM - 03:00 PM
  Ramification and resolution in transcendental extensions
Steven Cutkosky (University of Missouri)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  p-Standard systems of parameters
T. Kawasaki
Dec 03, 2002
Tuesday
09:00 AM - 10:00 AM
  Jet schemes and multiplier ideals
Lawrence Ein (University of Illinois at Chicago)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  On the residue theorem for formal schemes
Joseph Lipman (Purdue University)
11:30 AM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Some applications of algebraic K-theory in commutative algebra
Vasudevan Srinivas (Tata Institute of Fundamental Research)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Numerical equivalence on Chow groups of local rings
Kazuhiko Kurano (Meiji University)
04:30 PM - 05:30 PM
  Reception
Dec 04, 2002
Wednesday
09:00 AM - 10:00 AM
  Cohomological degrees: Questions and answers
Wolmer Vasconcelos
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  The intersection homology D-module in finite characteristic
Manuel Blickle (Johannes Gutenberg-Universität Mainz)
11:30 AM - 12:30 PM
  C*- and C+- actions on affine surfaces
Hubert Flenner
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Extended plus closure and colon-capturing
Raymond Heitmann (University of Texas, Austin)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Direct summands of module finite extensions
Anurag Singh (University of Utah)
Dec 05, 2002
Thursday
09:00 AM - 10:00 AM
  Closure operations in mixed characteristic
Melvin Hochster (University of Michigan)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  F-pure threshold of ideals and its applications to certain singularities
Kei-ichi Watanabe (Nihon University)
11:30 AM - 12:30 PM
  Tight closure and completion
Christel Rotthaus
04:10 PM - 05:10 PM
  Toric surfaces, Gromov-Witten invariants and tropical algebraic geometry (UC Berkeley Math Dept. Colloquium, taking place on campus, 60 Evans Hall)
Grigory Mikhalkin (Université de Genève)
Dec 06, 2002
Friday
09:00 AM - 10:00 AM
  Computing instanton numbers of plane curve singularities
Irena Swanson (Reed College)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  A generalization of tight closure and its applications
Nobuo Hara (Tohoku University)
11:30 AM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Non-vanishing of cohomology
Luchezar Avramov (University of Nebraska)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Core and integral closure of ideals
Claudia Polini (University of Notre Dame)