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Workshop

Computational Commutative Algebra March 13, 2003 - March 15, 2003
Registration Deadline: March 15, 2003 about 21 years ago
To apply for Funding you must register by: December 13, 2002 over 21 years ago
Parent Program:
Organizers Serkan Hosten, Craig Huneke, Bernd Sturmfels (chair), and Irena Swanson
Speaker(s)

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Description
This workshop is about computational commutative algebra understood in a broad sense, including both theory and its practice in fields related to commutative algebra, such as combinatorics, algebraic geometry, group theory and their applications. It will include talks by Gert-Martin Greuel, Lorenzo Robbiano, and Michael Stillman, followed by a panel discussion on software for commutative algebra. The rest of the workshop will be in standard format, with invited lectures and time for discussions and computer explorations. Invited speakers include: Paulo Aluffi Matthias Aschenbrenner Jon Carlson Juergen Herzog Gabriela Jeronimo Gregor Kemper Vic Reiner Hal Schenck Josef Schicho Rekha Thomas
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 PhDs, 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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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Mar 13, 2003
Thursday
08:45 AM - 09:00 AM
  Welcome and Introduction
Loa Nowina-Sapinski
09:00 AM - 09:50 AM
  CoCoA at work
Lorenzo Robbiano
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:20 AM
  Bounds and algorithms for polynomial rings over the integers
Matthias Aschenbrenner (University of California, Los Angeles)
11:30 AM - 12:20 PM
  Ideals of fiber type
Juergen Herzog
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 02:50 PM
  Koszul algebras in combinatorics
Victor Reiner (University of Minnesota Twin Cities)
03:00 PM - 03:30 PM
  Afternoon Tea
04:10 PM - 05:10 PM
  Lattice point counting in polyhedra: theory, applications, and software
Jesus De Loera (University of California, Davis)
Mar 14, 2003
Friday
09:00 AM - 09:50 AM
  Ideals associated to Bayesian networks
Michael Stillman (Cornell University)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:20 AM
  Shadows of blow-up algebras
Paolo Aluffi (Florida State University)
11:30 AM - 12:20 PM
  Hyperplane arrangements and free resolutions
Henry Schenck (Auburn University)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 02:50 PM
  Separating orbits by invariants: Applications and computations
Gregor Kemper (Technische Universität München)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:20 PM
  Problems in cohomology calculations
Jon Carlson (University of Georgia)
04:30 PM - 05:30 PM
  Stochastic factorisations, sandwiched simplices and the topology of the space of explanations
Duco van Straten
05:30 PM - 06:30 PM
  Reception
Mar 15, 2003
Saturday
09:00 AM - 09:50 AM
  Finite solvable groups and finite algebraic geometry
Gert-Martin Greuel
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:20 AM
  The method of adjoints for surfaces
Josef Schicho
11:30 AM - 12:20 PM
  Solving polynomial equations by decomposition of algebraic varieties
Gabriela Jeronimo (Universidad de Buenos Aires)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 02:50 PM
  Algebraic shifting
Rekha Thomas (University of Washington)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:20 PM
  Panel: Greuel, Robbiano and Stillman
Loa Nowina-Sapinski