学术报告报告题目：Semi-conformal vectors of (Unitary) Heisenberg vertex operator algebras and conformal nets
报 告 人：楚彦军 副教授(河南大学)
报告时间：2020 年11月15日（星期日）16:00-17:00
报告地点：腾讯会议，会议 ID：228 697 845，会议密码：201115
邀 请 人：刘明 博士
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数学学院
2020年11月13日
报告摘要：
The goal of this talk is to understand Heisenberg vertex algebras in terms of their semi-conformal structures. We first study semi-conformal structures on a general vertex operator algebra. For non-standard Heisenberg vertex operator algebras, we describe their semi-conformal vectors as pairs consisting of regular subspaces and the projections of h in these regular subspaces. Then we get all G-orbits of varieties of their semi-conformal vectors and give characterizations of Heisenberg vertex operator algebras. Moreover, we describe their semi-conformal unitary subalgebras. As similar as the concepts of conformal nets over s^1, we study the conformal nets associated to varieties of semi-conformal vectors of a unitary vertex operator algebra. As an example, we realize the conformal nets associated to varieties of semi-conformal vectors over s^1 in terms of the unitary Heisenberg vertex operator algebra with rank 2. This is joint work with Zongzhu Lin.