Expansion of Combinatorial Representation Theory

(Japanese page)

(Abstract: Some abstracts are written in Japanese.)

October 23 - 26, 2007

Room 115, Research Institute for Mathematical Sciences, Kyoto University

Program

October 23 (Tuesday)

14:00 -- 15:00 R. Sakamoto (Univ of Tokyo)
        A crystal theoretic method for finding rigged configurations from paths
                    
15:15 -- 16:15 M. Ishikawa (Tottori Univ)
        Hankel determinants of Catalan, Motzkin and Schr\"oder numbers and its q-analogues
                
16:30 -- 17:30 S. Okada (Nagoya Univ)
        Trace generating function of plane partitions


October 24 (Wednesday)

10:00 -- 11:00 Y. Abe (Univ of Tokyo)
        Tensor product of the fundamental representations for the quantum loop algebras of type A at roots of unity

11:15 -- 12:15 H. Konno (Hiroshima Univ)
        Elliptic quantum group $U_{q,p}(\widehat{sl}_2)$, H-Hopf algebroid structure and elliptic hyper geometric series

14:00 -- 15:00 T. Ohmoto (Hokkaido Univ)
        Thom polynomials and related topics

15:15 -- 16:15 T. Ikeda (Okayama Univ of Sience), H. Naruse (Okayama Univ)
	Double Schubert polynomials of classical type and excited Young diagrams (1)

16:30 -- 17:30 T. Ikeda (Okayama Univ of Sience), H. Naruse (Okayama Univ)
	Double Schubert polynomials of classical type and excited Young diagrams (2)


October 25 (Thursday)

10:00 -- 11:00 T. Nakashima (Sophia Univ)
        Uniqueness of tropical R

11:15 -- 12:15 M. Kaneda (Osaka City Univ)
        On the structure of parabolic Humphreys-Verma modules

14:00 -- 15:00 K. Wada (Nagoya Univ)
        A product formula for decomposition numbers of cyclotomic q-Schur algebras

15:15 -- 16:15 S. Tsuchioka (Kyoto Univ)
        Catalan numbers and level 2 weight structures of $\widehat{sl}_n$

16:30 -- 17:30 H. Miyachi (Nagoya Univ)
        On Uno's conjecture for the Hecke algebra of exceptional type


October 26 (Friday)

10:00 -- 11:00 R. Seno (Okayama Univ)
        Distinguished weight vectors of the basic representation of affine Lie algebras

11:15 -- 12:15 K. Nakada (Osaka Univ)
        q-Hook formula for a generalized Young diagram

14:00 -- 15:00 H. Yamane (Osaka Univ)
        Matsumoto-type theorem of Coxeter groupoids and application

(Last updated: 07/9/11)