Speaker: Yanbo Fang (Aarhus University)
Abstract: For a projective variety defined over a non-Archimedean field, Kontsevich-Tschinkel considered an analogue of the classical complex Monge-Ampere equation, on the associated Berkovich analytic space. A variational method for solving the equation has been proposed and carried out by Boucksom-Favre-Jonsson in equicharacteristic zero case. Together with Gubler and Künnemann, we generalize this result to mixed characteristic case, using some recent results in mixed char. birational geometry.
Time: 2:00-3:00 a.m., Tuesday, Jan 7
Location: Room 1610, SIMIS
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