Title	Analytic and tropical varieties over higher rank valued fields
Creator	Foster, Tyler
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-05-05T15:04
Description	Recent work of Nisse-Sottile, Hrushovski-Loeser, Ducros, and Giansiracusa-Giansiracusa demonstrates that valuation rings of rank >1 play an important role in the geometry of analytic and tropical varieties over non-Archimedean valued fields of rank 1. In this talk, I will present recent work with Dhruv Ranganathan and Max Hully on the geometry of analytic and tropical varieties over higher rank valued fields. I will explain how ideas coming from tame topology can be used to study the geometry of these spaces. I will explain the role that multi-stage degenerations play in this geometry, and if time permits, I will sketch an application of these ideas to the study of tropical and algebraic intersection multiplicities.
Extent	60 minutes
Subject	Mathematics; Algebraic geometry; Combinatorics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Michigan
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-02-08
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0320902
URI	http://hdl.handle.net/2429/59649
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Analytic and tropical varieties over higher rank valued fields Foster, Tyler

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