[The 5th Korea Toric Topology Winter Workshop]

** Date: ** 2019-01-23

**Speaker :** Eunjeong Lee (IBS-CGP)

**Abstract : **Let G be a complex semisimple simply connected algebraic group of rank
r. Let i = (i1; i2; : : : ; in) 2 [r]n be a word decomposition, and let ` =
(`1; : : : ; `n) be a sequence of non-negative integers. Grossberg and Karshon
introduced a virtual lattice polytope associated to i and `, called a twisted
cube, whose lattice points encode characters of representations of B. More
precisely, counted lattice points in twisted cube with sign according to a
density function, one get the character of the generalized Demazure module
associated to i and `. We introduce the notion of hesitant connected `-
walks and then prove that the associated Grossberg{Karshon twisted cube
is a closed convex polytope precisely when i is a hesitant-connected-`-walkavoiding.

**VOD : **[VIDEO] [YOUTUBE]

Information Center for Mathematical Sciences KAIST

34141 대전광역시 유성구 대학로 291 (구성동373-1)

한국과학기술원(KAIST) 수리과학정보센터

전화 042-350-8196

e-mail : mathnet@mathnet.or.kr

Copyright (C) 2018. ICMS All Rights Reserved.

34141 대전광역시 유성구 대학로 291 (구성동373-1)

한국과학기술원(KAIST) 수리과학정보센터

전화 042-350-8196

e-mail : mathnet@mathnet.or.kr

Copyright (C) 2018. ICMS All Rights Reserved.