Speaker: Yosuke Kubota (Shinshu University)
Title: Index theorem of lattice Wilson-Dirac operators and almost-commuting matrices
Time/Date: 4:45-6:15pm, May 28 (Thu.), 2020
Room: This will be an online seminar on Zoom. Ask Kawahigashi for the link.
Abstract: The index theorem of lattice Wilson-Dirac operator is a lattice-approximation of the Atiyah-Singer index theorem for twisted Dirac operators on the torus. It has been studied in the literature of lattice gauge theory as a description of the chiral anomaly. In this talk we introduce a new proof of this theorem based on higher index theory, particularly the monodromy correspondence of almost flat bundles and group quasi-representations.