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Workshop

Interactions between Algebraic Geometry and Noncommutative Algebra February 14, 2000 - February 25, 2000
Registration Deadline: February 25, 2000 over 19 years ago
To apply for Funding you must register by: November 14, 1999 almost 20 years ago
Parent Program:
Organizers M. Artin (MIT), K. R. Goodearl (UC Santa Barbara) and M. Van den Bergh (Limburgs)
Speaker(s)

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Description
As part of the yearlong program in Noncommutative Algebra, MSRI will host a two-week workshop on Interactions between Algebraic Geometry and Noncommutative Algebra, February 14-25, 2000. (Due to the Presidents' Day Holiday, Monday, February 21, the workshop will host one Saturday session on Saturday, February 19.) In recent years, there have been a number of important applications of techniques and ideas from algebraic geometry to noncommutative algebra, and the aim of this conference will be to examine these applications and their interactions. Among the areas of concentration with which the conference will be concerned are the following topics and their interactions: Noncommutative projective algebraic geometry and the study of noncommutative graded algebras; Geometric aspects of algebraic quantum groups, derived categories and quantization; Geometric aspects of the representation theory of quivers; Rings of differential operators and invariant theory.
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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MSRI does not hire an outside company to make hotel reservations for our workshop participants, or share the names and email addresses of our participants with an outside party. If you are contacted by a business that claims to represent MSRI and offers to book a hotel room for you, it is likely a scam. Please do not accept their services.

MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
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Feb 14, 2000
Monday
08:00 AM - 05:00 PM
  Degenerations of modules
Christine Riedtmann
08:00 AM - 05:00 PM
  PBW basis for certain Schur algebras
Tony Giaquinto
08:00 AM - 05:00 PM
  Completion of solvable enveloping algebras at the clique of the augmentation ideal
Ian Musson
08:00 AM - 05:00 PM
  Nonassociative geometry?
Alan Weinstein
09:30 AM - 10:30 AM
  Computational Invariant Theory: A survey and some new developments
Hanspeter Kraft
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Geometry of Chain Complexes and Outer Automorphisms Under Derived Equivalence
Birge Huisgen-Zimmermann
12:00 PM - 02:00 PM
  Break
02:00 PM - 02:30 PM
  Noncommutative Neighborhoods and Noncommutative Fourier Transform Abstract Received
Mikhail Kapranov (Kavli Institute for the Physics and Mathematics of the Universe )
Feb 15, 2000
Tuesday
09:30 AM - 10:00 AM
  Noncommutative Geometry and Calogero-Moser Space
Victor Ginzburg (University of Chicago)
10:00 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Degeneration of R-matrices
Timothy Hodges
12:00 PM - 02:00 PM
  Break
02:00 PM - 02:30 PM
  Singularities Arising from Quivers
William Crawley-Boevey (University of Leeds)
02:30 PM - 03:30 PM
  Break
03:30 PM - 04:00 PM
  Is There a Computational Noncommutative Algebraic Geometry?
Edward Letzter (Temple University)
Feb 16, 2000
Wednesday
09:30 AM - 10:00 AM
  Some Applications of Dualizing Complexes
James Zhang
10:00 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Quiver Varieties with Symmetries
Eric Vasserot (Institut de Mathematiques de Jussieu)
12:00 PM - 02:00 PM
  Break
02:00 PM - 02:30 PM
  Down-up Algebras and Some Generalizations
Georgia Benkart (University of Wisconsin-Madison)
02:30 PM - 03:30 PM
  Break
03:30 PM - 04:00 PM
  Blocks of Enveloping Algebras in Positice Characteristic and Relates Algebras
Iain Gordon (University of Edinburgh)
04:00 PM - 05:00 PM
  Toric Quiver Varieties
Lutz Hille
04:00 PM - 07:30 PM
  Break
06:30 PM - 10:30 PM
  Break
Feb 17, 2000
Thursday
09:30 AM - 10:30 AM
  Division Algebras and Moduli Spaces
Aidan Schofield
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Quiver Representations and Invariant Theory
Jerzy Weyman (Northeastern University)
12:00 PM - 02:00 PM
  Break
02:00 PM - 02:30 PM
  Tame Algebras and Complete Intersections
Andrzej Skowronski
02:30 PM - 03:30 PM
  Break
03:30 PM - 04:00 PM
  Smooth Morphisms of Module Varieties
Grzegorz Zwara
04:00 PM - 04:30 PM
  Presenting the Schur Algebra - With S. Doty
Tony Giaquinto
Feb 18, 2000
Friday
09:30 AM - 10:00 AM
  Quantum Analogues of Cohomology of Vector Bundles on Flag Varieties
Henning Andersen
10:00 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  On Some Questions of Deformation Theory and Noncommunative Geometry
Yan Soibelman (Kansas State University)
12:00 PM - 02:00 PM
  Break
02:00 PM - 02:30 PM
  The Auslander Condition and Perverse Sheaves
Amnon Yekutieli
02:30 PM - 03:30 PM
  Break
03:30 PM - 04:00 PM
  Derived Tame Tree Algebras
Christof Geiss (UNAM - Universidad Nacional Autonoma de Mexico)
04:00 PM - 04:30 PM
  Weighted Quantum Polynomial Rings
Darin Stephenson
04:30 PM - 08:30 PM
  Break
06:30 PM - 07:00 PM
  Break
Feb 19, 2000
Saturday
09:30 AM - 10:00 AM
  Clifford Algebra of a Binary Form
Rajesh Kulkarni
10:00 AM - 11:00 AM
  Break
11:00 AM - 11:30 AM
  The Specht Problem and Noncommutative Algebraic Geometry
11:30 AM - 12:00 PM
  Generating the Matrix Algebra
Christopher Pappacena
12:00 PM - 02:00 PM
  Break
02:00 PM - 03:00 PM
  Intersection Theory for Noncommutative Surfaces
Sholto Smith
03:00 PM - 03:30 PM
  Blowing-up Noncommunative Weighted Projective Spaces
David Patrick
03:30 PM - 04:00 PM
  Intersection Multiplicity Over Noncommunative Algebras
Izuru Mori
04:00 PM - 05:00 PM
  Break
04:30 PM - 05:00 PM
  Break
05:00 PM - 10:00 PM
  Break
10:00 PM - 10:30 PM
  Break
Feb 22, 2000
Tuesday
09:30 AM - 10:00 AM
  Invariant Differential Operators Under the Action of a Reductive Group
Thierry Levasseur
10:00 AM - 11:00 AM
  Break
10:00 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Finite Dimensional Representatives of Invariant Differential Operators
Gerald Schwarz
12:00 PM - 02:00 PM
  Break
02:00 PM - 02:30 PM
  Noncommutative Completetion
Ian Musson
02:30 PM - 04:00 PM
  Break
02:30 PM - 03:30 PM
  Break
03:30 PM - 04:00 PM
  Holomorphic Foliations and Nonholonomic Modules
Severino Coutinho
04:00 PM - 05:00 PM
  Quantum Toric Varieties
Colin Ingalls (University of New Brunswick)
05:00 PM - 08:30 PM
  Break
Feb 23, 2000
Wednesday
09:30 AM - 10:00 AM
  Hochshild (co)homology of Certain Algebras of Invariant Differential Operators
Jacques Alev
10:00 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  The Points of Quadratic Algebras
Michaela Vancliff
12:00 PM - 02:00 PM
  Break
02:00 PM - 03:00 PM
  A Sympectic Groupoid of Triangular Bilinear Forms and the Braid Group
Alexei Bondal
03:00 PM - 03:30 PM
  Break
03:30 PM - 04:00 PM
  Noncommutative Polarization
Daniel Chan
04:00 PM - 05:00 PM
  Algebraic D-modules and Characteristic Varieties
Daniel Levcovitz
05:00 PM - 09:00 PM
  Break
Feb 24, 2000
Thursday
09:30 AM - 10:00 AM
  Integrability of Characteristic Systems
Nicolai Reshetikhin (University of California, Berkeley)
10:00 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Chern-Simons Theory and Bundles of Infinite-Dimensional Matrix Algebras
Jean-Luc Brylinski
12:00 PM - 01:45 PM
  Break
01:45 PM - 02:45 PM
  Noncommutative Schemes and Spaces
Alexander Rosenberg
02:45 PM - 03:15 PM
  Sigma-Ample Divisors
Dennis Keeler
Feb 25, 2000
Friday
09:30 AM - 10:00 AM
  Is There Equivariant Deformation Quanitization
Ranee Brylinski