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2 events,
Insong Choe (최인송, Konkuk University)
Insong Choe (최인송) Visitor (2023.3.1-2024.2.28) from Konkuk University Office: B255
3 events,
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Insong Choe, Subsheaves of Maximal Rank in a Symplectic and Orthogonal Bundle over a Curve
Insong Choe, Subsheaves of Maximal Rank in a Symplectic and Orthogonal Bundle over a Curve
Speaker Insong Choe Kunkuk University We first review the known results on the Quot schemes on a smooth algebraic curve. Next we explain how they can be generalized to the Lagrangian Quot scheme, which parametrizes Lagrangian subsheaves on a symplectic vector bundle. Also we discuss the parallel results for orthogonal bundles. This will …
3 events,
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Donggun Lee, Birational Geometry of Generalized Hessenberg Varieties and the Generalized Shareshian-Wachs Conjecture
Donggun Lee, Birational Geometry of Generalized Hessenberg Varieties and the Generalized Shareshian-Wachs Conjecture
Speaker Donggun Lee IBS-CCG Hessenberg varieties are subvarieties of flag varieties with interesting properties in both algebro-geometric and combinatorial perspectives. The Shareshian-Wachs conjecture connects their cohomology with the chromatic quasi-symmetric functions of the associated graphs, which are refinements of the chromatic polynomials. In this talk, we introduce generalized Hessenberg varieties and study their …
3 events,
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Jihun Yum, Stochastic Bergman Geometry
Jihun Yum, Stochastic Bergman Geometry
Speaker Jihun Yum IBS-CCG For a bounded domain Ω in Cn, let P(Ω) be the set of all (real) probability distributions on Ω. Then, in general, P(Ω) becomes an infinite-dimensional smooth manifold and it always admit a natural Riemannian pseudo-metric, called the Fisher information metric, on P(Ω). Information geometry studies a finite-dimensional submanifold …
3 events,
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Junyan Zhao, Moduli of Curves of Genus 6 and K-stability
Junyan Zhao, Moduli of Curves of Genus 6 and K-stability
Speaker Junyan Zhao University of Illinois Chicago A general curve C of genus 6 can be embedded into the unique quintic del Pezzo surface X5 as a divisor of class -2KX5. This embedding is unique up to the action of the symmetric group S5. Taking a double cover of X5 branched along C yields …
3 events,
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Hoseob Seo, On L2 Extension from Singular Hypersurfaces
Hoseob Seo, On L2 Extension from Singular Hypersurfaces
Speaker Hoseob Seo IBS CCG In L2 extension theorems from a singular hypersurface in a complex manifold, important roles are played by certain measures such as the Ohsawa measure which determine when a given function can be extended. We show that the singularity of the Ohsawa measure can be identified in terms of …