Noncommutative Geometry Seminar

Date: November 4, 2020

Time: 1:00PM - 2:00PM

Location: Zoom 942810031

Speaker: Rudy Rodsphon, Northeastern University

Title: A KK-theoretical perspective on quantization commutes with reduction

Abstract: We propose a reframing of Paradan--Vergne's approach to the quantization commutes with reduction problem in KK-theory, more especially the index theoretic part that leads to their "Witten non-abelian localization formula". While our method is similar to theirs at least in spirit, interesting conceptual simplifications occur, and it makes the relationship to Ma--Tian--Zhang's analytic methods quite apparent. Time permitting, I'll also sketch another possible way to derive this localization formula, which is purely functorial.

URL: Link