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Session 5. Complex Analysis
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On the Bergman kernel and the Kobayashi pseudodistance in in convex domains
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Zbigniew Błocki, Jagiellonian University, Poland
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The talk is based on a joint work with Włodzimierz Zwonek
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It turns out that for convex domains the Bergman kernel on the
diagonal is very close to the reciprocal of the volume of the
Kobayashi indicatrix. We will discuss estimates and examples
confirming this. In particular, we will present formulas for some
complex ellipsoids where both the Bergman kernel and especially the
Kobayashi pseudometric are hard to compute.
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