Evènement pour le groupe Combinatoire Énumérative et Algébrique

Date 2014-09-26  10:45-11:45
TitreThe role of residue and quotient table in the theory of k-Schur functions 
RésuméRecently, residue and quotient tables were defined, and were used to describe strong covers in the lattice of k-bounded partitions. In the talk, we will show how residue and quotient tables can be used to describe many other results in the theory of k-bounded partitions and k-Schur functions, including k-conjugates, weak horizontal and vertical strips, and the k-Murnaghan-Nakayama rule. If time permits, evidence will be presented for the claim that one of the most important open questions in the theory of k-Schur functions, a general rule that would describe their product, can also be concisely stated in terms of residue tables.  
OrateurMatjaž Konvalinka 
Urluniversité de Ljubljana (Slovénie) 

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