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题目：2-Representations of Lie 2-Groups and 2-Vector Bundles主讲人：郇真时间地点：6月28号（周一）上午10：00-11：00在数学中心恩明楼8楼813教室摘要：Murray, Roberts and Wockel showed that there is no strict model of the string 2-group using the free loop group. Instead, they construct the next best thing, a coherent model for the string 2-group using the free loop group, with explicit form...

题目：2-Representations of Lie 2-Groups and 2-Vector Bundles

主讲人：郇真

时间地点：6月28号（周一）上午10：00-11：00在数学中心恩明楼8楼813教室

摘要：

Murray, Roberts and Wockel showed that there is no strict model of the string 2-group using the free loop group. Instead, they construct the next best thing, a coherent model for the string 2-group using the free loop group, with explicit formulas for all structure. Based on their expectations, we build a category of 2-representations for coherent Lie 2-groups and some interesting examples. We also discuss the relation between this category of 2-representations and the category of representations. Afterwards, we build the associated 2-vector bundles of the string group.

In further projects, we will construct the tensor product of 2-representations and compare it with the Connes fusion product of bimodules over von Neumann algebras. And we plan to construct the corresponding 2K-theory and its relation with elliptic cohomology.

This is joint work with Chenchang Zhu.