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Colloquium: Non-Archimedean methods in complex geometry

Mattias Jonsson (University of Michigan)
Tuesday, January 31, 2023
4:00-5:00 PM
1360 East Hall Map
Berkovich spaces are analogues of complex manifolds when the complex numbers are replaced by a non-Archimedean field, that is, a field satifying the strong triangle inequality.

I will discuss two instances where Berkovich spaces naturally appear within complex geometry. The first concerns the Yau--Tian--Donaldson conjecture, on the existence of Kähler--Einstein metrics on Fano manifolds. The second situation appears in the context of degenerations of Calabi--Yau manifolds, and features conjectures by Strominger--Yau--Zaslow, and Kontsevich--Soibelman.

This is based on joint work with R. Berman, S. Boucksom, J, Hultgren, E. Mazzon, and N. McCleerey.
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics, Colloquium Series - Department of Mathematics