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TZID:America/Detroit
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DTSTAMP:20210712T181513
DTSTART;TZID=America/Detroit:20210712T110000
DTEND;TZID=America/Detroit:20210712T120000
SUMMARY:Workshop / Seminar:Geometry Seminar
DESCRIPTION:A famous conjecture of Alon stated that for fixed d\, random d-regular graphs on a large number of vertices have almost optimal spectral gap between the two largest eigenvalues of the adjacency operator. Friedman proved this conjecture in 2008. Friedman also broadened the conjecture to random large-degree covering spaces of a fixed finite base graph. This more general conjecture was recently proved by Bordenave and Collins. We have proved an analog of these conjectures for random infinite area hyperbolic surfaces without cusps. The spectral theory here is interesting\; we obtain almost optimal spectral gap results for objects called resonances that generalize eigenvalues of the Laplacian but can be much more subtle.\n\nI'll  give some ideas of the proof in the talk. \n\n(This is joint work with F. Naud)\n\nAlexander Murray Wright is inviting you to a scheduled Zoom meeting.\n\nTopic: Geometry Seminar\nTime: Jul 12\, 2021 09:30 AM America/Detroit\n\nJoin Zoom Meeting\nhttps://umich.zoom.us/j/91763608340?pwd=S25pdUNyTFBwdGVDaUhNd0pFcXFZQT09\n\nMeeting ID: 917 6360 8340\nPasscode: 859275\n\n\n\n Speaker(s): Michael Magee (Durham University)
UID:84291-21621052@events.umich.edu
URL:https://events.umich.edu/event/84291
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:Off Campus Location - Zoom
CONTACT:
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