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Signature, Toledo invariant, and rho-invariant for flat unitary bundles over surfaces with boundary
Geometry/Topology| 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.
https://ucdavis.zoom.us/j/93888363573?pwd=MGJCU0tVRitWVGVYQk5YSVYwQ0JJUT09 Meeting ID: 938 8836 3573 Passcode: 508156