Jinhyun Park (박진현, KAIST)
Jinhyun Park (박진현) Visitor (2022.8.15-2023.8.14) from KAIST Office: B248
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Insong Choe, Subsheaves of Maximal Rank in a Symplectic and Orthogonal Bundle over a Curve
B236-1 IBSSpeaker 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 …
Donggun Lee, Birational Geometry of Generalized Hessenberg Varieties and the Generalized Shareshian-Wachs Conjecture
B236-1 IBSSpeaker 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 …
Shin-Young Kim, [T-seminar] Wonderful Symmetric Varieties and their Varieties of Minimal Rational Tangents I
B266 IBSSpeaker Shin-Young Kim IBS-CGP As a general background, we talk about adjoint symmetric varieties and their wonderful compactification. We describe the families of minimal rational curves on wonderful symmetric varieties corresponding to varieties of minimal rational tangents (VMRT). In particular, we prove that these varieties are homogeneous and that for non-exceptional irreducible wonderful …
Shin-Young Kim, [T-seminar] Wonderful Symmetric Varieties and their Varieties of Minimal Rational Tangents II
B266 IBSSpeaker Shin-Young Kim IBS-CGP As a general background, we talk about adjoint symmetric varieties and their wonderful compactification. We describe the families of minimal rational curves on wonderful symmetric varieties corresponding to varieties of minimal rational tangents (VMRT). In particular, we prove that these varieties are homogeneous and that for non-exceptional irreducible wonderful …
Workshop on Moduli, K-stability, Fano varieties, and related topics
IBS Science Culture Center DaejeonSpeakers Arnaud Beauville (University of Nice) Fabrizio Catanese (University of Bayreuth) Thibaut Delcroix (University of Montpellier) Kento Fujita (Osaka University) Young-Hoon Kiem (KIAS) Shigeru Mukai (RIMS, Kyoto University) Yuri Prokhorov (Steklov Mathematical Institute) Constantin Shramov (Steklov Mathematical Institute) Schedule Day 1: May 15 (Monday) ~10:00 Registration 10:00~11:00 Shigeru Mukai TBA 11:00~11:20 Coffee Break 11:20~12:20 …