School of Mathematics, KIAS, Seoul, Korea

## Posts Tagged ‘유환철’

### HwanChul Yoo (유환철), Diagrams, balanced labellings and affine Stanley symmetric functions

Thursday, November 29th, 2012School of Mathematics, KIAS, Seoul, Korea

### HwanChul Yoo (유환철), Purity of weakly separated set families

Wednesday, February 22nd, 2012School of Mathematics, KIAS, Seoul, Korea

### FYI: Enumerative Combinatorics mini Workshop 2012 (ECmW2012)

Saturday, February 18th, 2012Organizer: Seunghyun Seo (서승현) and Heesung Shin (신희성)

- Tuesday 10:30AM-12PM Seunghyun Seo (서승현), Kangwon National University,
*Refined enumeration of trees by the size of maximal decreasing tree*s - Tuesday 1:30PM-3PM HwanChul Yoo (유환철), KIAS,
*Specht modules of general diagrams and their Hecke counterparts* - Tuesday 4PM-5:30PM Heesung Shin (신희성), Inha University,
*q-Hermite 다항식을 포함하는 두 항등식에 관하여* - Wednesday 10:30AM-12PM Soojin Cho (조수진), Ajou University,
*Skew Schur P-functions* - Wednesday 1:30PM-3PM Sangwook Kim (김상욱), Chonnam National University,
*Flag vectors of polytopes*

### HwanChul Yoo (유환철), Triangulations of Product of Simplices and Tropical Oriented Matroid

Monday, November 15th, 2010Department of Mathematics, MIT

*Wed*4:30PM-5:30PM (Room 3433)

In 2006 at MSRI, nine tropical geometers and combinatorialists met and announced the list of ten key open problems in (algebraic and combinatorial side of) tropical geometry. Axiomatization of tropical oriented matroids was one of them. After the work of Develin and Sturmfels, tropical oriented matroids were conjectured to be in bijection with subdivisions of product of simplices as well as with tropical pseudohyperplane arrangements. Ardila and Develin defined tropical oriented matroid, and showed one direction that tropical oriented matroids encode subdivision of product of simplices. Recently, in joint work with Oh, we proved that every triangulation of product of simplices encodes a tropical oriented matroid.

In this talk, I will give a survey on this topic, and discuss this well known conjecture. I will also suggest a new class of combinatorial objects that may describe all subdivisions of a bigger class of polytopes.