题目： Introduction to differential K-theory

报告人：刘博  助理研究员（华东师范大学）

Abstract : Differential K-theory is a new research field in 21 century which is motivated by the study of superstring theory in theoretical physics and can be regarded as the real analogue of the arithmetic K-theory in Arakelov geometry. In 2008, Gillet, Roessler and Soule proved the famous arithmetic Riemann-Roch theorem in arithmetic K-theory. In their proof, the properties of holomorphic torsion forms studied by Bismut and his collaborators play the key role.In differential K-theory, the same role as the holomorphic torsion form in arithmetic K-theory is the Bismut-Cheeger eta form. Recently, we systematically studied the Bismut-Cheeger eta form and obtain the similar results as holomorphic torsion forms.In this talk, I will introduce two models of differential K-theory, define the direct image maps through the submersions and the embeddings and explain the corresponding differential-Riemann-Roch theorem by using the properties of the eta form.

时间： 11月2日（周五）15:15-16:45

地点：565net必赢客户端本部教二楼 513 教室

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