First-order deformations of vertex algebras

：齐飞（中山大学（珠海））
：2026-03-06 10:30
：海韵园实验楼S102

报告人：齐飞（中山大学（珠海））

时  间：2026年3月6日10:30

地  点：海韵园实验楼S102

内容摘要:

Deformation theory of vertex algebras is an important yet difficult problem in both mathematics and physics. We approach this problem by computing the second cohomology $H^2_{1/2}(V, V)$ constructed by Yi-Zhi Huang. Joint with Vladimir Kovalchuk, we created an algorithm for classifying all the first-order deformations of freely generated vertex algebras. Using these results, we explicitly determine the first-order deformations of the universal Virasoro VOA $Vir_c$, universal affine VOA $V^l(\g)$, Heisenberg VOA $V^l(\h)$, and the universal Zamolodchikov VOA $W_3^c$. It has long been conjectured that rational vertex algebras are deformation rigid, i.e., they admit no first-order deformations. In the recent work joint with Andrew Linshaw, we proved this conjecture for simple affine VOA with positive integer levels. 

个人简介：

齐飞，现任中山大学数学学院（珠海）副教授。2018年于罗格斯大学获得博士学位，毕业后先后在耶鲁大学、曼尼托巴大学和丹佛大学从事博士后研究。主要研究方向为顶点代数、表示论与数学物理，相关成果发表于 Communications in Mathematical Physics、Letters in Mathematical Physics、Transactions of the American Mathematical Society 等国际学术期刊。

 

联系人：余铌娜