报告一

报告题目：Z-Graded Modular Vertex Superalgebras

主讲人：穆强

单位：哈尔滨师范大学

时间：12月3日9:00-9:50

腾讯会议：725-216-753

密码：123456

摘要：In this talk, we present some results on Z-graded vertex superalgebra over a field of prime characteristic. In particular, Zhu’s A(V) theory is examined, and Zhu’s algebras of certain affine vertex superalgebras and irreducible modules for certain quotient vertex superalgebras are determined. Irreducible modules for symplectic Clifford vertex superalgebras are also determined and a complete reducibility theorem is obtained. This is a joint work with Haisheng Li.

简介：穆强，哈尔滨师范大学数学科学学院教授、博士生导师，研究方向为顶点算子代数与李代数。主持国家自然科学基金面上项目两项。在Trans. Amer. Math. Soc.、J. Algebra等著名SCI杂志发表论文20多篇。

报告二

报告题目: Realizations of $A_1^{(1)}$-modules in category $\widetilde{\mathcal O}$

主讲人：陈福林

单位：厦门大学

时间：12月3日9:55-10:45

腾讯会议：725-216-753

密码：123456

摘要：In this talk, we will give an explicit realization of all irreducible modules in Chari's category $\widetilde{\mathcal O}$ for the affine Kac-Moody algebra $A_{1}^{(1)}$ by using the idea of free fields.

简介：陈福林，厦门大学数学学院教授。主要从事李代数，量子代数和顶点代数，在Trans. Amer. Math. Soc. Int. Math. Res. Not., J. Algebra, Canad. J. Math.,等杂志上发表多篇论文，正在主持国家自然科学基金面上项目。

报告三

报告题目: Higher derived brackets and homotopy relative Rota-Baxter Lie algebras

主讲人：唐荣

单位：吉林大学

时间：12月3日

腾讯会议：12月3日10:50-11:40

腾讯会议：725-216-753

密码：123456

摘要：In this talk, we describe $L_\infty$-algebras governing homotopy relative Rota-Baxter Lie algebras and triangular $L_\infty$-bialgebras, and establish a map between them. Our formulas are based on a functorial approach to Voronov's higher derived brackets construction which is of independent interest.

简介：唐荣，吉林大学教授。从事Rota-Baxter代数和Yang-Baxter方程的研究。在Communications in Mathematical Physics，Journal of the Institute of Mathematics of Jussieu, Journal of Algebra等杂志上发表论文多篇。