표현론 팀 참가자 여러분께,

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_______________________________________________ 일시: 5월 21일 수요일 18:00-20:00 장소: 129동 406호

발표자 : 허태혁 발표내용 : Title : Some combinatorial realizations of crystals Abstract : The crystal base is a significant tool to understand representation theory of quantum groups combinatorially. There are many combinatorial realizations of such crystals including B(∞). In this talk, we will introduce some models; in particular, we focus on the polyhedral realization introduced by Nakashima-Zelevinsky for B(∞) and Nakashima for highest weight crystals B(λ). They show that such crystals are parametrized by lattice points in the intersection of half spaces determined by some hyperplanes, which is the reason why these models are named after the polyhedral realization. Meanwhile, there are several well-known combinatorial models to describe crystals B(∞), and we will introduce and briefly explain the model: modified Nakajima monomial. If time permits, we will explain recent works on the polyhedral realization and the Nakajima monomial. _______________________________________________

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