학과 세미나 및 콜로퀴엄

구분 학과 세미나/콜로퀴엄
분류 Discrete Math
제목 The topology of restricted partition posets
Abstract

 

For each composition c⃗ we show that the order complex of the poset of pointed set partitions Π∙c⃗ is a wedge of spheres of the same dimension with the multiplicity given by the number of permutations with descent composition c⃗ . Furthermore, the action of the symmetric group on the top homology is isomorphic to the Specht module SB where B is a border strip associated to the composition. We also study the filter of pointed set partitions generated by a knapsack integer partition and show the analogous results on homotopy type and action on the top homology.

 

일시 2014-11-04 (Tue) / 16:00 ~ 17:00 ** 날짜에 유의하세요. **
장소 자연과학동 E6-1 Room 1409
강연언어 미정
강연자성명 정지윤
강연자소속 NIMS, 국가수리과학연구소
강연자홈페이지
기타정보
초청인 엄상일, Andreas Holmsen, 김연진
URL http://mathsci.kaist.ac.kr/~sangil/seminar/entry/20141104/
담당자
연락처