Noncommutative Geometry Seminar

Date: February 17, 2023

Time: 1:00PM - 2:00PM

Location: ZOOM

Speaker: Jesus Sanchez Jr, Washington University in St Louis

Title: Equivariant Local Index Theory for Lie Groupoids

Abstract: In recent work, Higson and Yi developed a new perspective on Getzler’s symbol calculus, reinterpreting the latter in terms of a convolution algebra of sections of a multiplicative vector bundle over the tangent groupoid of a spin manifold. In joint work with S. Liu, Y. Loizides, and A.R.H.S. Sadegh we generalize the construction in two directions; to the equivariant setting, and to the adiabatic groupoid of any Lie groupoid. We discuss applications including an equivariant longitudinal local index theorem for Lie groupoids with a closed space of units.

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