时间：2024年11月28日（星期四）15:00-16:00
地点：西湖大学云谷校区E4-233
主讲人：Jackson Ryder, University of New South Wales
报告题目：Simple Dedekind domains associated to noncommutative projective lines
报告摘要：One way of constructing noncommutative projective lines is via a noncommutative analogue of the symmetric algebra for a bimodule of left/right dimension 2 over a pair of fields. These noncommutative projective lines contain a canonical closed subscheme, the (affine open) complement of which we are interested in. We will give a brief introduction to noncommutative projective geometry and the construction of this closed subscheme, before showing that the coordinate ring $\Lambda_{00}$ of the open complement is a noncommutative Dedekind domain. Curiously, these noncommutative Dedekind domains are closely tied to field extensions with dihedral Galois groups, and these dihedral groups determine when $\Lambda_{00}$ is a simple ring.
