Vertex algebras and arc spaces

：Andrew R. Linshaw（University of Denver）
：2022-01-07 10:00
：腾讯会议ID：952697379（无密码）

报告人：Andrew R. Linshaw（University of Denver）

时  间：2022年1月7日上午10:00

地  点：腾讯会议ID：952697379（无密码）

内容摘要:

Vertex algebras are certain noncommutative, nonassociative algebraic structures that arose out of physics in the 1980s. They were first defined mathematically by Borcherds in his proof of the Moonshine Conjecture. In the last 35 years, they have become important in a diverse range of subjects including finite group theory, representation theory, combinatorics, number theory, and geometry. A fruitful perspective is that many vertex algebras can be viewed as quantizations of coordinate rings of arc spaces. In this talk, I will give an introduction to vertex algebras, arc spaces, and their interconnections. This is based on joint work with Bailin Song.

个人简介：

Andrew R. Linshaw，University of Denver，副教授， 研究领域：Representation theory, invariant theory, vertex algebras and infinite-dimensional Lie algebras， 研究成果发表在《Invent. Math.》，《 J. Eur. Math. Soc.》，《 Amer. J. Math.》，《 Comm. Math. Phys.》等国际重要学术期刊。

 

联系人：王清