中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

代数几何研讨班

Speaker: 刘海东（中山大学）& 江辰（复旦大学）

Inviter: 刘杰

Language: Chinese

Title: Recent progress on classification of canonical Fano 3-folds I - VI

Time&Venue: 2025年11月06日（星期四）09:30-10:30 & S415

2025年11月06日（星期四）10:45-11:45 & S415

2025年11月07日（星期五）09:30-10:30 & S813

2025年11月07日（星期五）10:45-11:45 & S813

2025年11月07日（星期五）13:30-14:30 & S813

2025年11月07日（星期五）14:45-15:45 & S813

Abstract: According to the minimal model program, Fano varieties are fundamental research objects in birational geometry. Motivated by the classification of canonical Fano 3-folds, we are interested in the boundedness of important invariants of canonical Fano 3-folds such as anticanonical degree and Fano index.
In this short course, we will explain recent progress on the study of these two invariants, and introduce basic tools including foliations, orbifold Chern classes, Riemmann--Roch formula for canonical 3-folds, and partial classification of canonical singularities.