강연 / 세미나

세미나
세미나
일정

Seminar

기간 : 2024-05-17 ~ 2024-05-17
시간 : 14:15 ~ 16:30
개최 장소 : Math bldg. 104
개요
Seminar
분야Field
날짜Date 2024-05-17 ~ 2024-05-17 시간Time 14:15 ~ 16:30
장소Place Math bldg. 104 초청자Host
연사Speaker Hyun Kyu Kim 소속Affiliation KIAS
TOPIC Seminar
소개 및 안내사항Content

Title : 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.

학회명Field Seminar
날짜Date 2024-05-17 ~ 2024-05-17 시간Time 14:15 ~ 16:30
장소Place Math bldg. 104 초청자Host
소개 및 안내사항Content

Title : 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.

성명Field Seminar
날짜Date 2024-05-17 ~ 2024-05-17 시간Time 14:15 ~ 16:30
소속Affiliation KIAS 초청자Host
소개 및 안내사항Content

Title : 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.

성명Field Seminar
날짜Date 2024-05-17 ~ 2024-05-17 시간Time 14:15 ~ 16:30
호실Host 인원수Affiliation Hyun Kyu Kim
사용목적Affiliation 신청방식Host KIAS
소개 및 안내사항Content

Title : 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.

Admin Admin · 2024-05-10 17:48 · 조회 157
2017년 이전 세미나
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