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IBS CGP-POSTECH Math Colloquium

기간 : 2024-03-22 ~ 2024-03-22
시간 : 15:00 ~ 17:00
개최 장소 : IBS POSTECH Campus Bldg. CGP Delta
개요
IBS CGP-POSTECH Math Colloquium
분야Field
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
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
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)

Admin Admin · 2024-03-18 15:22 · 조회 297
Pre-2017 Seminar
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