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Signature, Toledo invariant, and rho-invariant for flat unitary bundles over surfaces with boundary


Speaker: Inkang Kim, KIAS, Seoul, Korea
Location: Zoom
Start time: Tue, May 3 2022, 1:10PM

We relate work on the signature of the associated local systems, due to Meyer and Atiyah, to Burger-Iozzi-Wienhard's Toledo invariant. To measure the difference, we extend Atiyah-Patodi-Singer's rho invariant, initially defined on U(p), to discontinuous class functions, first on U(p,q), and then on other classical groups via embeddings into U(p,q). This is a joint work with P. Pansu and X. Wan. Meeting ID: 938 8836 3573 Passcode: 508156