**Speaker**：**Cuibo Jiang**

**Abstract**:

We give a complete classification and characterization of OZ-type vertex operator algebras generated by Ising vector of $\sigma$-type. Furthermore we prove that all these vertex operator algebras are rational, $C_2$-cofinite and unitary, with which we prove that the classification theorem of 3-transposition groups $G_{\frac{1}{2},\frac{1}{2}}$ realizable by vertex operator algebras, given by Matuo, still holds without the positivity assumption. This is a joint work with Ching-Hung Lam and Hiroshi Yamauchi.

**Time: ****January 10**^{th}15:00

**Venue：****Lecture Hall,Beiyan, School of Mathematics and Statistics**

**Speaker Introduction:**

Cuibo Jiang is a professor in the School of Mathematics Science, Shanghai Jiao Tong University. He mainly studies vertex operator algebra and theory of Lie algebra. He has published more than 40 papers in Adv. Math., Math. Z., J. Alg., Bull. Inst. Math. Acad. Sin. , Comm.Math.Phys., J. Math. Phys., Proc. London Math. Soc., Trans. AMS., Contemp. Math., and other international academic journals . He has presided 8 NSFC Projects.