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.
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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 |