Insong Choe, Subsheaves of Maximal Rank in a Symplectic and Orthogonal Bundle over a Curve

B236-1 IBS

    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

Donggun Lee, Birational Geometry of Generalized Hessenberg Varieties and the Generalized Shareshian-Wachs Conjecture

B236-1 IBS

    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

Shin-Young Kim, [T-seminar] Wonderful Symmetric Varieties and their Varieties of Minimal Rational Tangents I

B266 IBS

    Speaker 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 IBS

    Speaker 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 Daejeon

Speakers 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

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