Title

Maximal Newton polygons via the quantum Bruhat graph (extended abstract)

Document Type

Conference Proceeding

Role

contributor

Publication

24th International Conference on Formal Power Series and Algebraic Combinatorics

Standard Number

1365-8050

Journal Title

Discrete Mathematics and Theoretical Computer Science

Publication Date

2012

Abstract

An extended abstract accepted for publication in the proceedings of the 24th annual Conference on Formal Power Series and Algebraic Combinatorics in conjunction with presentation of the work as a poster at the conference at the University of Nagoya in Japan on July 30, 2012. This work answers a long-oustanding question about non-emptiness for affine Deligne-Lusztig varieties by providing a closed, combinatorial formula in terms of paths in a finite directed graph. In addition, this work unearths a mysterious connection between affine Deligne-Lusztig varieties and Schubert calculus on complex flag varieties. The full article is still in preparation.

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