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日時: 2025年1月16日(木) 15:30-16:30
Date: January 16, 2025 15:30-16:30
会場:東京大学大学院数理科学研究科 大講義室
Place: auditorium, Graduate School of Math. Sci. Bldg.
陳榮凱 氏（國立臺灣大學）
Jungkai Chen (National Taiwan University)
On classification of threefolds of general type (ENGLISH)
In higher dimensional algebraic geometry, the following three types of varieties are considered to be the building blocks: Fano varieties, Calabi-Yau varieties, and varieties of general type. In the study of varieties of general type, one usually works on "good models" inside birationally equivalent classes. Minimal models and canonical models are natural choices of good models.
In the first part of the talk, we will try to introduce some aspects of the geography problem for threefolds of general type, which aim to study the distribution of birational invariants of threefolds of general type. In the second part of the talk, we will explore more geometric properties of those threefolds on or near the boundary. Some explicit examples will be described and we will compare various different models explicitly. If time permits, we also try to talk about their moduli spaces from different points of view.