Lecture / Seminar
일 일 일 Sun | 월 월 월 Mon | 화 화 화 Tue | 수 수 수 Wed | 목 목 목 Thu | 금 금 금 Fri | 토 토 토 Sat |
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IBS CGP-POSTECH Math Colloquium
분야Field | |||
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날짜Date | 2024-03-22 ~ 2024-03-22 | 시간Time | 15:00 ~ 17:00 |
장소Place | IBS POSTECH Campus Bldg. CGP Delta | 초청자Host | |
연사Speaker | Sang-hyun Kim | 소속Affiliation | KIAS |
TOPIC | IBS CGP-POSTECH Math Colloquium | ||
소개 및 안내사항Content | Title : Group theoretic understanding of manifold diffeomorphism groups Speaker : Sang-hyun Kim (KIAS) Abstract : Given a smooth manifold M equipped with a geometric or analytic structure $\Omega$, the collection of $\Omega$--preserving diffeomorphisms of M naturally form a group denoted as $Diff^r(M,\Omega)$. These groups often exhibit strong rigidity phenomena, even when treated purely as algebraic objects. In this talk, I will focus on two aspects of these groups along this line. (1) The isomorphism types of finitely generated subgroups. (2) The set of true first-order group--theoretical sentences. This talk is based on joint works with Thomas Koberda (UVa) and with Javier de la Nuez-Gonzalez (KIAS) |
학회명Field | IBS CGP-POSTECH Math Colloquium | ||
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날짜Date | 2024-03-22 ~ 2024-03-22 | 시간Time | 15:00 ~ 17:00 |
장소Place | IBS POSTECH Campus Bldg. CGP Delta | 초청자Host | |
소개 및 안내사항Content | Title : Group theoretic understanding of manifold diffeomorphism groups Speaker : Sang-hyun Kim (KIAS) Abstract : Given a smooth manifold M equipped with a geometric or analytic structure $\Omega$, the collection of $\Omega$--preserving diffeomorphisms of M naturally form a group denoted as $Diff^r(M,\Omega)$. These groups often exhibit strong rigidity phenomena, even when treated purely as algebraic objects. In this talk, I will focus on two aspects of these groups along this line. (1) The isomorphism types of finitely generated subgroups. (2) The set of true first-order group--theoretical sentences. This talk is based on joint works with Thomas Koberda (UVa) and with Javier de la Nuez-Gonzalez (KIAS) |
성명Field | IBS CGP-POSTECH Math Colloquium | ||
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날짜Date | 2024-03-22 ~ 2024-03-22 | 시간Time | 15:00 ~ 17:00 |
소속Affiliation | KIAS | 초청자Host | |
소개 및 안내사항Content | Title : Group theoretic understanding of manifold diffeomorphism groups Speaker : Sang-hyun Kim (KIAS) Abstract : Given a smooth manifold M equipped with a geometric or analytic structure $\Omega$, the collection of $\Omega$--preserving diffeomorphisms of M naturally form a group denoted as $Diff^r(M,\Omega)$. These groups often exhibit strong rigidity phenomena, even when treated purely as algebraic objects. In this talk, I will focus on two aspects of these groups along this line. (1) The isomorphism types of finitely generated subgroups. (2) The set of true first-order group--theoretical sentences. This talk is based on joint works with Thomas Koberda (UVa) and with Javier de la Nuez-Gonzalez (KIAS) |
성명Field | IBS CGP-POSTECH Math Colloquium | ||
---|---|---|---|
날짜Date | 2024-03-22 ~ 2024-03-22 | 시간Time | 15:00 ~ 17:00 |
호실Host | 인원수Affiliation | Sang-hyun Kim | |
사용목적Affiliation | 신청방식Host | KIAS | |
소개 및 안내사항Content | Title : Group theoretic understanding of manifold diffeomorphism groups Speaker : Sang-hyun Kim (KIAS) Abstract : Given a smooth manifold M equipped with a geometric or analytic structure $\Omega$, the collection of $\Omega$--preserving diffeomorphisms of M naturally form a group denoted as $Diff^r(M,\Omega)$. These groups often exhibit strong rigidity phenomena, even when treated purely as algebraic objects. In this talk, I will focus on two aspects of these groups along this line. (1) The isomorphism types of finitely generated subgroups. (2) The set of true first-order group--theoretical sentences. This talk is based on joint works with Thomas Koberda (UVa) and with Javier de la Nuez-Gonzalez (KIAS) |