报告题目：Courant cohomology and Cartan calculus
报 告 人：Rajan Mehta教授，美国史密斯学院数学与统计系
报告地点：Join Zoom Meeting
报告摘要：It is known that Courant algebroids are in correspondence with degree 2 symplectic dg-manifolds. The standard cochain complex of a Courant algebroid is, by definition, the complex consisting of functions on the corresponding dg-manifold. However, this definition has been difficult to work with directly, due to a lack of explicit coordinate-free formulas relating the Courant data (bracket, anchor, and pairing) to the standard complex. In this talk, I will give a description of the standard complex in terms of the Courant data. In this description, the differential satisfies a familiar-looking Cartan formula, which allows many classical differential-geometric constructions to transfer verbatim to the study of Courant algebroids. As an application, I will explain how secondary characteristic classes can be constructed in a way that formally resembles the classical Chern-Simons construction. This is joint work with Miquel Cueca.
Rajan Mehta，美国史密斯学院数学与统计系教授，从事微分几何与数学物理的研究，在Adv. Math., Lett. Math. Phys. 和J. Symplectic Geom.等杂志发表多篇高水平论文。