## Lie群論・表現論セミナー

開催情報 火曜日　16:30～18:00　数理科学研究科棟(駒場) 126号室 小林俊行 https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html

### 2012年12月11日(火)

16:30-18:00   数理科学研究科棟(駒場) 126号室

Affine Springer fibers of type A and combinatorics of diagonal
coinvariants
Affine Springer fibers of type A and combinatorics of diagonal
coinvariants (JAPANESE)
[ 講演概要 ]
We introduce certain filtrations on the homology of
affine Springer fibers of type A and give combinatorial formulas for the bigraded Frobenius series of the associated graded modules.
The results are essentially given by generalizations of the symmetric function introduced by Haglund, Haiman, Loehr, Remmel, and Ulyanov which is conjectured to coincide with the bigraded Frobenius series of the ring of diagonal coinvariants.