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【学术报告】Twisted representations and fields of moduli

发布日期:2026-05-22    点击:

哈哈体育学术报告

题目Twisted representations and fields of moduli

报告人杨天秩Scuola Normale Superiore, Italy

时间2026-06-03 10:3011:30(周午)

地点沙河主楼E802

摘要The field of moduli of an algebraic structure such as avariety, vector bundle, or polarization is the smallest field over which the structure is isomorphic to all of its Galois conjugates. A field of definition is a field over which the structure admits a model. Every field of definition contains the field of moduli, which leads to the natural question: is the field of moduli itself a field of definition? An R-singularity is a quotient singularity of the form A^n/G such that every twist admits a resolution with a rational point lying above the singularity. In this talk, we introduce neutral representations, and explain how their classifications help the study of field of moduli and R-singularities.

报告人简介Tianzhi Yang is currently a PhD student at the Scuola Normale Superiore. His research interests lie in algebraic geometry, with a particular focus on the arithmetic aspects of algebraic stacks and the fields of moduli of algebraic varieties.

邀请人张旭成

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