Title: An analytic characterization of the minimal exponent of a hypersurface
Abstract: The minimal exponent of a hypersurface in a complex manifold is a Hodge-theoretic refinement of the log canonical threshold and has found various applications in algebraic geometry, in recent years. In this talk, I will present an analytic characterization of the minimal exponent, generalizing the integrability description for the log canonical threshold, which answers a question of Mustațǎ-Popa. If time permits, I will also discuss a conjectural birational description of the minimal exponent and some progress towards it using p-adic method.
This is based on the joint work with Dougal Davis and Andras Lorincz.
Yuchen Liu
(847) 491-5553
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