This proposal would support research by three related groups of researchers into the frontiers of Representation Theory, Number Theory, and Mathematical Physics. The Representation Theory group will compute the Kazhdan-Lusztig-Vogan polynomials for all simple Lie groups up to rank 9 and make the results of these computations readily available to researchers worldwide. This group will also continue to explore the combinatorial infrastructure of W-graphs and relate it to representation theoretical invariants. The Number Theory group will carry out major computations of modular forms and L-functions, and greatly enhance our understanding of the Birch and Swinnerton-Dyer conjecture and the Riemann Hypothesis, two of the central problems in number theory. The Mathematical Physics group will complete the first major step in the classification of off-shell representations of Supersymmetry, a problem that has been open for three decades. |
Project Summary | PDF, TEX |
Project Description | PDF, TEX |
References Cited | PDF, TEX |
ALL Biographical Sketch | |
Stein Biographical Sketch | PDF, TEX |
Rubinstein Biographical Sketch | |
Binegar Biographical Sketch | PDF, TEX |
Doran Biographical Sketch | PDF, TEX |
Budget Justification | PDF, TEX |
Dell Quote | |
Complete Tarball | stein-screms-07.tar.bz2 |