Singularities on fibrations

报告人：Caucher Birkar, Tsinghua University

摘要：In this talk we will discuss recent results regarding singularities on fibrations, in particular, Fano and Calabi-Yau fibrations. We will give some of the main ideas of the proofs of these results.

时间：2023-12-25 09:00-10:00

地点：Room A-110, TSIMF

Minimal model program for algebraically integrable foliations

报告人：Liu Jihao(刘济豪), Northwestern University, USA

摘要：I will report the establishment of the minimal model program for algebraically integrable foliations on klt varieties and it applications, such as the minimal model program for generalized pairs and the canonical bundle formula. If time permits, I will discuss some related open problems and their connections to moduli theory. This talk is partially based on a series of joint works of myself with Guodu Chen, Jingjun Han, Fanjun Meng, and Lingyao Xie.

时间：2023-12-25 10:30-11:30

地点：Room A-110, TSIMF

Transversal foliations in positive characteristic

报告人：Sheng Mao(盛茂), Tsinghua University

摘要：In this talk, I shall speak on a correspondence between the category of transversally foliated log smooth varieties over a fixed base in positive characteristic and the category of Higgs enhanced log smooth varieties over the same base. Stability for these objects will be also introduced.

时间：2023-12-25 13:00-14:00

地点：Room A-110, TSIMF

Landscape, Swampland and Geometry

报告人：Seung-Joo Lee, Institute for Basic Science

摘要：Many instances have recently been found of the intriguing interplay between string landscape and algebraic geometry via the so-called swampland conjectures. In this talk, we will illustrate such an interplay with two concrete conjectures in physics. Specifically, to test the conjectures out for all possible effective QFT models of F-theory in (real) D = 8, 6, and 4 dimensions, we will address certain universal properties of compact elliptic Calabi-Yau d-folds for d=2, 3, and 4, respectively. In particular, several results will be discussed concerning (a) non-vanishing of specific enumerative invariants for d=3 (and 4), (b) characterization of the base Kahler geometries at infinite distance for d=4, and (c) explicit Weierstrass description of the Kulikov(-like) models at infinite distance for d=2 (and 3).

时间：2023-12-25 14:30-15:30

地点：Room A-110, TSIMF

Equivariant geometry of singular cubic threefolds

报告人：Ivan Cheltsov, University of Edinburgh

摘要：I will report on a joint work with Yuri Tschinkel (Simons Foundation) and Zhijia Zhang (Courant Institute) on linearizability of actions of finite groups on singular cubic threefolds.

时间：2023-12-25 16:00-17:00

地点：Room A-110, TSIMF