Spinors and the Tangent Groupoid
报告专家：伊泽霖 助理教授（同济大学）
报告时间：11月13日（周五）下午15:00-16:00
报告地点：数学学院西303
报告摘要：
Connes' tangent groupoid underlies the K-theoretic proof of the Atiyah–Singer index theorem, while Getzler's proof is local, based on rescaling Clifford variables. This talk relates the two. The central object is a rescaled spinor bundle on the tangent groupoid, a vector bundle built from a Getzler-type scaling filtration. Its compactly supported smooth sections carry a convolution product, and the resulting algebra admits a smoothly varying family of supertraces interpolating between the operator supertrace and an integral of differential forms. This yields an "index theorem without a Dirac operator," from which Getzler's local index theorem follows readily.
邀请人：Rodsphon Rudy
