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# 2023-1 Math Colloquium | Bergman metrics and Kähler-Einstein metrics on projective manifolds

기간 : 2023-05-26 ~ 2023-05-26
시간 : 15:30 ~ 18:00
개요
2023-1 Math Colloquium | Bergman metrics and Kähler-Einstein metrics on projective manifolds
분야Field 날짜Date 2023-05-26 ~ 2023-05-26 15:30 ~ 18:00 ‪Sungmin Yoo Incheon National Univ 2023-1 Math Colloquium | Bergman metrics and Kähler-Einstein metrics on projective manifolds A basic problem in differential geometry is to find canonical, or best, metrics on a given manifold. By the famous uniformization theorem, every Riemann surface admits a Riemannian metric of constant curvature surfaces. As a higher dimensional generalization of this result, we will introduce two canonical Kähler metrics for Kähler manifolds, especially for projective manifolds: Bergman metrics and Kähler-Einstein metrics. Both metrics can be considered as higher dimensional generalizations of the Poincaré metirc. In this talk, we will study several results related to the Yau-Tian-Donaldson conjecture and Kazhdan's Theorem, which tell us that these two metrics are deeply related to each other.
학회명Field 날짜Date 2023-1 Math Colloquium | Bergman metrics and Kähler-Einstein metrics on projective manifolds 2023-05-26 ~ 2023-05-26 15:30 ~ 18:00 A basic problem in differential geometry is to find canonical, or best, metrics on a given manifold. By the famous uniformization theorem, every Riemann surface admits a Riemannian metric of constant curvature surfaces. As a higher dimensional generalization of this result, we will introduce two canonical Kähler metrics for Kähler manifolds, especially for projective manifolds: Bergman metrics and Kähler-Einstein metrics. Both metrics can be considered as higher dimensional generalizations of the Poincaré metirc. In this talk, we will study several results related to the Yau-Tian-Donaldson conjecture and Kazhdan's Theorem, which tell us that these two metrics are deeply related to each other.
성명Field 날짜Date 2023-1 Math Colloquium | Bergman metrics and Kähler-Einstein metrics on projective manifolds 2023-05-26 ~ 2023-05-26 15:30 ~ 18:00 Incheon National Univ A basic problem in differential geometry is to find canonical, or best, metrics on a given manifold. By the famous uniformization theorem, every Riemann surface admits a Riemannian metric of constant curvature surfaces. As a higher dimensional generalization of this result, we will introduce two canonical Kähler metrics for Kähler manifolds, especially for projective manifolds: Bergman metrics and Kähler-Einstein metrics. Both metrics can be considered as higher dimensional generalizations of the Poincaré metirc. In this talk, we will study several results related to the Yau-Tian-Donaldson conjecture and Kazhdan's Theorem, which tell us that these two metrics are deeply related to each other.
성명Field 날짜Date 2023-1 Math Colloquium | Bergman metrics and Kähler-Einstein metrics on projective manifolds 2023-05-26 ~ 2023-05-26 15:30 ~ 18:00 ‪Sungmin Yoo Incheon National Univ A basic problem in differential geometry is to find canonical, or best, metrics on a given manifold. By the famous uniformization theorem, every Riemann surface admits a Riemannian metric of constant curvature surfaces. As a higher dimensional generalization of this result, we will introduce two canonical Kähler metrics for Kähler manifolds, especially for projective manifolds: Bergman metrics and Kähler-Einstein metrics. Both metrics can be considered as higher dimensional generalizations of the Poincaré metirc. In this talk, we will study several results related to the Yau-Tian-Donaldson conjecture and Kazhdan's Theorem, which tell us that these two metrics are deeply related to each other.
2017년 이전 세미나