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Home » MT Research Seminar: Weight functions on Berkovich spaces and poles of maximal order of motivic zeta functions.

Seminar

MT Research Seminar: Weight functions on Berkovich spaces and poles of maximal order of motivic zeta functions. March 25, 2014 (01:30 PM PDT - 03:00 PM PDT)
Parent Program: Model Theory, Arithmetic Geometry and Number Theory
Location: MSRI: Simons Auditorium
Speaker(s) Johannes Nicaise (Katholieke Universiteit Leuven)
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I will explain some connections between Berkovich spaces of degenerations of Calabi-Yau varieties and the Minimal Model Program in birational geometry. The central object in this theory is the so-called weight function on the Berkovich space. This function has some interesting properties that suggest that one can use it to contract the Berkovich space onto its canonical skeleton. I will also show how analogous properties of weight functions of hypersurface singularities yield a proof of a 1999 conjecture of Veys on poles of maximal order of motivic zeta functions. This is based on joint work with Mircea Mustata and Chenyang Xu.

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