This web page contains material for the workshop
Buildings and combinatorial representation theory.
Contributions from the workshop participants are available in
dvi,
postscript or
pdf.
Arun Ram's talk from the first day of the workshop.
Arun Ram has a webpage with relevant information on: Buildings, Chevalley groups, The Flag variety, The affine Flag variety, Affine Hecke algebras, Loop groups, Central Extensions, GL(n). You may have to download some MathML fonts, but there are instructions on his page.
A glossary of terms is being prepared. Please contribute!
Daniele Alessandrini Tropicalization of group representations
Arkady Berenstein, Andrei Zelevinsky Tensor product multiplicities, canonical
bases and totally positive varieties
math.RT/9912012
( Invent. Math. 143 (2001), no. 1,
77--128.)
Anders S. Buch The saturation conjecture (after A.
Knutson and T. Tao)
math.CO/9810180
Joel Kamnitzer Mirkovic-Vilonen cycles and
polytopes
math.AG/0501365
M. Kapovich. Generalized triangle inequalities and their applications
Allen Knutson, Terence Tao The honeycomb model of GL(n)
tensor products I: proof of the saturation conjecture
math.RT/9807160
( J. Amer. Math. Soc. 12 (1999), no. 4, 1055--1090. )
Sophie Morier-Genoud's thesis:
Relevement Geometrique de
L'involution de Schutzenberger et Applications
[in French]
Arun Ram Alcove walks, Hecke algebras,
spherical functions, crystals and column strict tableaux
math.RT/0601343
(Pure and Applied Mathematics Quarterly. Special Issue: In honor of
Robert MacPherson. Vol 2. (2006) 135-183.)
Guy Rousseau : Euclidean buildings
Lecture notes from Summer School 2004: Non-positively curved
geometries, discrete groups and rigidities
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A list of registered participants is available.
Questions or comments to workshops@aimath.org