談話会・数理科学講演会

過去の記録 ~05/01次回の予定今後の予定 05/02~

担当者 会田茂樹,大島芳樹,志甫淳(委員長),高田了
セミナーURL https://www.ms.u-tokyo.ac.jp/seminar/colloquium/index.html

2025年01月16日(木)

15:30-16:30   数理科学研究科棟(駒場) 大講義室(Large Lecture Room)号室
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陳榮凱 氏 (國立臺灣大學)
On classification of threefolds of general type (English)
[ 講演概要 ]
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.
[ 参考URL ]
https://docs.google.com/forms/d/e/1FAIpQLSfuEUNS92y5dTPoEANkgieuPhmDDQLB_fI4d-GT2p0VkT8KOg/viewform?usp=header