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UID:20251207T214742EST-9792OhzjUH@132.216.98.100
DTSTAMP:20251208T024742Z
DESCRIPTION:Title: Systolically extremal metrics on nonpositively curved su
 rfaces\n	Abstract: The regularity of systolically extremal surfaces (i.e.\,
  surfaces of minimal area with fixed systole) is a delicate problem alread
 y discussed by M. Gromov in the 80's. We propose to study the problem of s
 ystolically extremal metrics in the context of generalized metrics of nonp
 ositive curvature. A natural approach would be to work in the class of Ale
 xandrov surfaces of finite total curvature\, where one can exploit the too
 ls of the completion provided in the context of Radon measures as studied 
 by Reshetnyak and others. However the generalized metrics in this sense st
 ill don't have enough regularity. Instead\, we develop a more hands-on app
 roach and show that\, for each genus\, every systolically extremal nonposi
 tively curved surface is piecewise flat with finitely many conical singula
 rities. Joint work with M. Katz.\n
DTSTART:20191104T183000Z
DTEND:20191104T193000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Stephane Sabourau (U. Paris-Est)
URL:/mathstat/channels/event/stephane-sabourau-u-paris
 -est-301983
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