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UID:20260903T041022EDT-5407uvTwUS@132.216.98.100
DTSTAMP:20260903T081022Z
DESCRIPTION:Title: Computing discrete harmonic maps between hyperbolic surf
 aces.\n\nAbstract: Celebrated work of Eels-Sampson and Hartman asserts the
  existence of a harmonic diffeomorphism in any homotopy class of maps betw
 een a pair of homeomorphic compact hyperbolic surfaces. The study of harmo
 nic maps has since been vastly generalized in the work of Gromov-Schoen\, 
 Korevaar-Schoen\, and Jost\, with wide-ranging application. Motivated by t
 he nonabelian Hodge correspondence\, we pursue a discrete version of the t
 heory that is more accessible computationally\; in particular our main the
 orem is that\, in the setting of compact hyperbolic surfaces\, the discret
 e energy functional is strongly convex (a property not known for the smoot
 h energy functional). These ideas are implemented in a user-friendly compu
 ter program that I will present. This is joint work with Brice Loustau and
  Léonard Monsaingeon.\n
DTSTART:20190109T200000Z
DTEND:20190109T210000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Jonah Gaster (McGill University)
URL:https://www.mcgill.ca/mathstat/channels/event/jonah-gaster-mcgill-unive
 rsity-293010
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