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Center & Programs Conferences Conference and Winter School on: Tropical Geometry, Berkovich spaces and mirror symmetry
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"An introduction to Berkovich spaces"(Lecture III-3.)
SPEAKER  |  Mattias Jonsson
INSTITUTE  |  (University of Michigan, Ann Arbor)
DATE  |  February 24(Wed), 2016
TIME  |  13:30
PLACE  |  Rm 1503(Bldg#I,5th), Korea Institute for Advanced Study, South Korea
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ABSTRACT  |  Berkovich spaces are analogues of complex manifolds that appear when replacing complex numbers by the elements of a general normed field, e.g. p-adic numbers or formal Laurent series. They were introduced in the late 1980s by Vladimir Berkovich as a more honestly geometric alternative to the rigid spaces earlier conceived by Tate. In recent years, Berkovich spaces have seen a large and growing range of applications to complex analysis, tropical geometry, complex and arithmetic dynamics, the local Langlands program, Arakelov geometry,... I will give a introduction to Berkovich spaces with a view towards some of these applications.
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