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Seminar & Colloquium

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제목 [2019/01/07-11] Seminars and Talks of this week
작성자 관리자 등록일 2019-01-04 조회수 188

Seminars and Talks of this week

SKKU, General Bd 3F, AORC Seminar Room

 

1 Group Seminar

 

Date: Jan. 11, 2019(Fri.)

Room: AORC Seminar Room

 

 

Time: 14:00 - 15:00

Speaker: Sun-mi Yun (SKKU)

 

Title: The Characteristic Polynomial of the Alternating Permutation Poset
 
Abstract:
For the symmetric group S_n, a permutation w can be considered as a word of simple transpositions s_i=(i,i+1). We define some order of permutations with respect to the minimal length of the word expression of each permutation. Then S_n with this order is a poset. We consider the set of alternating permutations with the same order, which is also a poset. We call it the alternating permutation poset. It turns out that its characteristic polynomial has a nice form. In this talk we prove this property.
 
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Time: 15:00 - 16:00

Speaker: JiHyeug Jang (SKKU)

 

Title: Combinatorial proof of two constant term identities
 
Abstract:
These constant term identities was introduced in 〈A COMBINATORIAL MODEL FOR COMPUTING VOLUMES OF FLOW POLYTOPES〉. We prove these identities using labeled dyck path and parenthesizing. Chains of noncrossing partitions play an important role in our proof
 

 

○AORC Invited Lecture
 

Speaker : Dr. Min Lee (University of Bristol, UK)

Date : Jan. 09, 2019 (Wed.) 

Time : 14:00 - 15:00 

Place :  AORC seminar room

Title: Effective equidistribution of rational points on expanding horospheres

Abstract:

  The main purpose of this talk is to provide an effective version of a result due to Einsiedler, Mozes, Shah and Shapira, on the equidistribution of primitive rational points on expanding horospheres in the space of unimodular lattices in at least 3 dimensions. Their proof uses techniques from homogeneous dynamics and relies in particular on measure-classification theorems due to Ratner. Instead, we pursue an alternative strategy based on spectral theory, Fourier analysis and Weil’s bound for Kloosterman sums which yields an effective estimate on the rate of convergence in the space of (d+1)-dimensional Euclidean lattices with d>1. This extends my work with J. Marklof, on the 3-dimensional case (2017). This is a joint work with D. El-Baz and B. Huang.

Seminar & Colloquium 게시판의 이전글 다음글
이전글 [2019/01/25] Dr. Jehanne Dousse (University of Lyon 1, France)
다음글 [2019/01/09] Dr. Min Lee (University of Bristol, UK)
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