복소기하학연구단
Speaker Gebhard Martin Universität Bonn Motivated by the classification of finite subgroups of the Cremona group of the plane, I will survey old and new results on automorphism groups of del Pezzo surfaces. In particular, I will report on joint work with Igor Dolgachev on the classification of automorphism groups of smooth del …
Speaker Claudia Stadlmayr Technische Universität München Canonical surface singularities, also called rational double points (RDPs), can be classified according to their dual resolution graphs, which are Dynkin diagrams of types A, D, and E. Whereas in characteristic different from 2, 3, and 5, rational double points are "taut", that is, they are uniquely …
Speaker Gebhard Martin Universität Bonn Motivated by the classification of finite subgroups of the Cremona group of the plane, I will survey old and new results on automorphism groups of del Pezzo surfaces. In particular, I will report on joint work with Igor Dolgachev on the classification of automorphism groups of smooth del …
Speaker Gebhard Martin Universität Bonn Motivated by the classification of finite subgroups of the Cremona group of the plane, I will survey old and new results on automorphism groups of del Pezzo surfaces. In particular, I will report on joint work with Igor Dolgachev on the classification of automorphism groups of smooth del …
Speaker Boris Doubrov Belarusian State University, Minsk We introduce the notion of a bifiltered manifold and generalizing the constructions of the symbol and Tanaka prolongation from nilpotent differential geometry. Next, we consider bifiltered manifolds modeled by bigradings of simple Lie algebras and show how this generalizes known constructions in the parabolic geometries such …
Speaker Dennis The The Artic University of Norway, Tromso In their 2013 article, An & Nurowski considered two surfaces rolling on each other without twisting or slipping, and defined a twistor distribution (on the space of all real totally null self-dual 2-planes) for the associated 4D split-signature conformal structure. If this split-conformal structure …
Speaker Yong Hu Shanghai Jiao Tong University Let X be a smooth irregular 3-fold of general type. In this talk, we will prove that the optimal Noether inequality vol(X) ≥ (4/3) pg(X) holds if pg(X) ≥ 16 or if X has a Gorenstein minimal model. Moreover, when X attains the equality and pg(X) …
Speaker Michel Brion U. Grenoble This is an introductory lecture on symmetric spaces in algebraic geometry.
Speaker Michel Brion U. Grenoble This is an introductory lecture on compactifications of symmetric spaces in algebraic geometry.
Speaker In-Kyun Kim KIAS In algebraic geometry, constructing moduli spaces that parametrize families of algebraic varieties with certain properties is an important problem. In the case of Fano varieties, the construction of moduli spaces is a challenging problem. K-stability provides a criterion for selecting nice representatives within the moduli space, which helps create …
Speaker Chuyu Zhou Yonsei University We will present various criterion for K-stability for Fano varieties, including viewpoints from test configurations, valuations, and filtrations.
Speaker Chuyu Zhou Yonsei University We will present the construction of moduli space of Fano varieties with K-stability, including defining the moduli functor, showing various good properties of the functor, and introducing Alper-Halpern Leistner-Heinloth criterion for the existence of good moduli space.