Counting dominant regions in the m-extended Catalan arrangement with a fixed separating wall
 
 
Description:  Athanasiadis introduced separating walls for a region in the m-extended Catalan arrangement and used them to generalize the Narayana numbers. In this paper, we fix a hyperplane in the m-extended Catalan arrangement for type A and calculate the number of dominant regions which have the fixed hyperplane as a separating wall; that is, regions where the hyperplane supports a facet of the region and separates the region from the origin.
Date:  2012-01-18
Start Time:   15:00
Speaker:  Eleni Tzanaki (Univ. of Crete, Greece)
Institution:  University of Crete
Place:  Room 5.5
Research Groups: -Algebra and Combinatorics
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