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SUMMARY:Robert Berman (Chalmers University of Technology)
DTSTART:20200915T100000Z
DTEND:20200915T110000Z
DTSTAMP:20260423T022622Z
UID:Geolis/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/13/">
 Kähler-Einstein metrics\, Archimedean Zeta functions and phase transition
 s</a>\nby Robert Berman (Chalmers University of Technology) as part of Geo
 metria em Lisboa (IST)\n\n\nAbstract\nWhile the existence of a unique Käh
 ler-Einstein metrics on a canonically polarized manifold $X$ was establish
 ed already in the seventies there are very few explicit formulas available
  (even in the case of complex curves!). In this talk I will give a non-tec
 hnical introduction to a probabilistic approach to Kähler-Einstein metric
 s\, which\, in particular\, yields canonical approximations of the Kähler
 -Einstein metric on $X$. The approximating metrics in question are express
 ed as explicit period integrals and the conjectural extension to the case 
 of a Fano variety leads to some intriguing connections with Zeta functions
  and the theory of phase transitions in statistical mechanics.\n
LOCATION:https://researchseminars.org/talk/Geolis/13/
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