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SUMMARY:Robert Berman (Chalmers University of Technology)
DTSTART:20200827T100000Z
DTEND:20200827T110000Z
DTSTAMP:20260423T021401Z
UID:ZAG/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/44/">Kah
 ler-Einstein metrics\, Archimedean Zeta functions and phase transitions</a
 >\nby Robert Berman (Chalmers University of Technology) as part of ZAG (Zo
 om Algebraic Geometry) seminar\n\n\nAbstract\nWhile the existence of a uni
 que Kahler-Einstein metrics on a canonically polarized manifold X was esta
 blished already in the seventies there are very few explicit formulas avai
 lable (even in the case of complex curves!). In this talk I will give a no
 n-technical introduction to a probabilistic approach to Kahler-Einstein me
 trics\, which\, in particular\, yields canonical approximations of the Kah
 ler-Einstein metric on X. The approximating metrics in question are expres
 sed as explicit period integrals and the conjectural extension to the case
  of a Fano variety leads to some intriguing connections with Zeta function
 s and the theory of phase transitions in statistical mechanics.\n
LOCATION:https://researchseminars.org/talk/ZAG/44/
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