Generalized Kostka Polynomials

July 18 to July 22, 2005

at the

American Institute of Mathematics, Palo Alto, California

organized by

Anne Schilling and Monica Vazirani

This workshop, sponsored by AIM and the NSF, concerns Kostka polynomials and their connections to various areas of mathematics. Kostka polynomials and their generalizations have arisen in numerous ways such as in the context of symmetric functions, combinatorics, representation theory, quantum groups and crystal bases, statistical mechanics, algebraic geometry, and Kazhdan-Lusztig theory. The goal of this workshop is to bring together mathematicians who have studied Kostka polynomials from different points of views, state the various connections and open conjectures, and work towards their proofs.

The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and working sessions.

Participants include A. Berenstein, N. Bergeron, A. Garsia, I. Grojnowski, J. Haglund, M. Haiman, N. Jing, R. Kedem, A. Kirillov, A. Knutson, N. Loehr, K. Misra, J. Morse, M. Okado, E. Rassart, V. Sankaran, A. Schilling, M. Shimozono, J. Stembridge, P. Sternberg, J.-Y. Thibon, G. Tudose, M. Vazirani, and M. Zabrocki.

The deadline to apply for support to participate in this workshop has passed.

For more information email workshops@aimath.org


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