복소기하학연구단
Speaker Han-Bom Moon Fordham University An Ulrich bundle is a vector bundle with very strong cohomology vanishing conditions. Eisenbud and Schreyer conjectured that every smooth projective variety possesses …
Patrick Brosnan Visitor (2025.6.23-2025.7.5) from University of Maryland
Speaker Sung Gi Park Princeton U. / IAS The Hodge diamond of a smooth projective complex variety exhibits fundamental symmetries, arising from Poincaré duality and the purity of …
Alex Abreu Visitor (2025.6.25-2025.7.5) from Universidade Federal Fluminense
Speaker Yoosik Kim Pusan National University According to the Kempf–Ness theorem, the GIT quotient is equivalent to the symplectic reduction. Using this correspondence, we explain how to relate …
Speaker Alex Abreu Universidade Federal Fluminense The classical Torelli theorem states that a smooth curve can be recovered from its polarized Jacobian. In this talk, we will discuss …
This workshop brings together experts in Hessenberg varieties, Lusztig varieties, and the affine Grassmannian. It focuses on the rich interactions among these geometric objects and their connections to representation …
Speaker Yoonjoo Kim Columbia U. I would like to report two ongoing results on Lagrangian fibrations of smooth symplectic varieties. The first is the construction of a delta-regular …
Speaker Hyukmoon Choi IBS CCG and KAIST A projective variety V is an equivariant compactification of an algebraic group G if there exists an algebraic G-action on V …
Speaker Makoto Enokizono University of Tokyo Noether-Horikawa surfaces are surfaces of general type satisfying the equation K2=2pg−4, which represents the equality of the Noether inequality K2≥2pg−4 for surfaces of …
Speaker Doyoung Choi KAIST / IBS We study the higher secant varieties of a smooth projective variety embedded in projective space. We prove that when the variety is …
Speaker Haesong Seo KAIST / IBS A projective manifold is called hyperbolic if it does not admit an entire map from the complex plane. Demailly proved that hyperbolic …