Valuative independence for Calabi–Yau varieties

2026-07-24 10:38:49

时间:2026年7月30日(星期四),14:00-16:30

地点:E14-212


主持人:韩骥原 理论科学研究院

主讲人:刘雨晨 美国西北大学

报告主题:Valuative independence for Calabi–Yau varieties

报告摘要:From the perspective of the Gross–Siebert program, the mirror symmetry of a maximal degeneration of Calabi–Yau varieties is governed by certain canonical bases for the sections of the powers of an ample line bundle on the degeneration. It is expected that the pairing between the basis elements and valuations in the essential skeleton satisfies an independence condition, similar to the pairing between monomials and monomial valuations on a toric variety. In this talk, I will explain how tools from birational geometry and K-stability can be used to construct bases that fulfill this condition. This is joint work with Harold Blum.