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Speaker:

Dmitry Sustretov
Affiliation:

Université de Lille I/MPIM
Date:

Tue, 2018-05-29 14:00 - 15:00
Location:

MPIM Lecture Hall
Parent event:

Seminar on Algebra, Geometry and Physics The subject of this talk is the study of the Gromov-Hausdorff limit of

a family of complex curves over a punctured disc with maximal

unipotent monodromy endowed with normalized flat metrics with conical

singularities. The limit turns out to be a metric graph which can be

naturally identified with a quotient of a subset of the Berkovich

analytic space associated to the family. This problem is inspired by

the approach of Kontsevich and Soibelman to the SYZ conjecture, and,

time permitting, I will discuss how the techniques of the talk can be

extended to be applied in this more general setting.

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