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분야
세미나
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날짜
20240517 ~ 20240517시간
14:15 ~ 16:30 -
장소
Math bldg. 104
초청자
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연사
Hyun Kyu Kim
소속
KIAS
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제목
Seminar
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소개 및
안내사항Title : Canonical basis, cluster variety, and Riemann's moduli space of curves
Speaker : Hyun Kyu Kim (KIAS)
Abstract : This is an introductory talk on the canonical basis of the algebra of regular functions on a cluster variety. I will start from the basic example of a split algebraic torus, then review a rank 2 example of a cluster variety. Then I will review Riemann's moduli space of curves, the Teichmüller space which is its universal cover, and discuss the cluster variety structure that this space has. I will describe Fock and Goncharov's canonical basis for this case, based on the trace-of-monodromy functions along loops. If time allows, I will discuss quantization, higher rank generalization, and some open questions.
Seminar
최고관리자
2024-05-20