OVER VIEW
'Affine Schubert Calculus' refers to an extension of Schubert calculus
to affine Grassmannians and affine flag varieties. The new approach
to affine Schubert calculus is made possible by the recent discovery
of certain explicitly defined symmetric functions called k-Schur
functions. The k-Schur functions, which arose in the study of the
seemingly unrelated Macdonald theory, were recently shown to be
connected to the geometry and topology of the affine Grassmanian.
This event consists of a summer school and workshop to be held
at Fields Institute over a nine day period. The period July 7-10
will be dedicated to the summer school, with July 11 as a free day
and followed by another 4 days of workshop that will consist of
contributed talks. The purpose of the summer school is to highlight
some of the major developments of the Affine Schubert Calculus related
to k-Schur functions with survey presentations and tutorials. The
workshop portion of the event will highlight some recent related
research.
The summer school will include the following series of lectures:
* Thomas Lam, affine Stanley symmetric functions
* Luc Lapointe, k-Schur functions
* Mark Shimozono, generalizations to other affine group types
* Jennifer Morse, combinatorics of k-tableaux
* Nicolas Thiery and Jason Bandlow, computational aspects and computer
implementation
* Sara Billey, Schur positivity of quasisymmetric functions
Second week will be dedicated to more recent research highlighting
some of the results related to k-Schur functions discovered in the
last 3 year period including positivity of k-Schur functions and
representation theoretical models of k-Schur functions.
A tentative list of speakers includes
(confirmed):
* Sami Assaf
* Joel Kamnitzer
* Allen Knutson
* Peter Tingley
(not yet confirmed):
* Mark Haiman
* Li-Chung Chen
List of Registered Participants as
of February 8, 2010:
| Full Name |
University Name |
| Belinschi, Serban |
University of Saskatchewan |
| Bergeron-Brlek, Anouk |
York University |
| Ehrig, Michael |
University of Bonn |
| Lubovsky, Arthur |
SUNY Albany |
| |
| TO BE CONFIRMED: |
| Miller, Alex |
University of Minnesota |
| Pittman-Polletta, Benjamin |
University of Arizona |
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