学术报告几何物理学术研讨会将于2016年1月19日上午9:00—1月21日在4号楼4318室举行，具体报告内容安排如下：
报告题目1：Hom-Lie-Yamaguti algebras
报 告 人：张涛教授（河南师范大学）
报告时间：2016年1月19日（周二）上午10：00-11：30
报告摘要：We will give an introduction to Lie-Yamaguti algebras and Hom-Lie-Yamaguti algebras. The representation and cohomology theory of Hom-Lie-Yamaguti algebras are developed. As an application, we will verify that this cohomology theory can be used to characterize deformations and extensions of Hom-Lie-Yamaguti algebras.
报告题目2：Atiyah class and L_infinity algebras
报 告 人：郎红蕾博士（北京大学）
报告时间：2016年1月19日（周二）下午15：00-17：30
报告摘要：To a Lie algebroid pair (L,A), I will define its Atiyah class and present its geometric meaning by explaining several examples. Then I will talk about the
L_infinity[1]-algebra structure on /Gamma(/wedge A^/star /tensor L/A) associated to a Lie algebroid pair, whoes binary bracket is given by the Atiyah cocycle.
报告题目3：From r-spin intersection numbers to Hodge integrals
报 告 人：丁祥茂研究员（中国科学院数学研究院）
报告时间：2016年1月20日（周三）上午09：00-10：00
报告摘要：Generalized Kontsevich Matrix Model (GKMM) with a certain given potential is the partition function of r-spin intersection numbers. We represent this GKMM in terms of fermions and expand it in terms of the Schur polynomials by boson-fermion correspon- dence, and link it with a Hurwitz partition function and a Hodge partition by operators in a G L(∞) group. Then, from a W1+∞ constraint of the partition function of r-spin inter- section numbers, we get a W1+∞ constraint for the Hodge partition function. The W1+∞ constraint completely determines the Schur polynomials expansion of the Hodge partition function.
报告题目4：QP-structures of degree 3 and LWX 2-algebroids
报 告 人：生云鹤教授（吉林大学）
报告时间：2016年1月20日（周三）上午10：30-11：30
报告摘要：In this paper, we give the notion of a Courant 2-algebroid and show that a QP-structure of degree 3 actually gives rise to a Courant 2-algebroid. This generalizes the result that a QP-structure of degree 2 gives rise to a Courant algebroid. We show that one can obtain a Lie 3-algebra from a Courant 2-algebroid. Furthermore, Courant 2-algebroids are constructed from Lie 2-algebroids and Lie 2-bialgebroids.
报告题目5：高阶Courant代数胚和Dirac结构
报 告 人：毕艳会博士（南昌航空大学）
报告时间：2016年1月20日（周三）下午16：30-17：30
报告摘要：简要描述高阶Courant代数胚的基本概念和性质，并定义高阶Dirac结构。介绍Nambu-Piosson结构、多辛结构与高阶结构的关系。
报告题目6：Symplectic Lie algebroids and Manin triples for left-symmetric algebroids
报 告 人：刘杰锋博士（吉林大学）
报告时间：2016年1月21日（周四）上午09：00-11：30
报告摘要：We introduce the notion of an LWX-algebroid, which is a geometric generalized of a quadratic left-symmetric algebra. More importantly, there is a one-to-one correspondence between symplectic Lie algebroids and LWX-algebroids. Furthermore, we introduce the notion of a left-symmetric bialgebroid, which is a geometric generalized of left-symmetric bialgebra. On the double of a left-symmetric bialgebroid, there is an LWX-algebroid structure naturally. At last, we give a equivalent description of Para-Kahler Lie algebroids in term of Para-complex LWX-algebroids.
报告地点：4号楼4318室
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数学学院
2016年01月15日