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Real tropicalization and analytification of semialgebraic sets. Yu, Josephine

Description

I will define and discuss the tropicalization and analytification of semialgebraic sets. We show that the real analytification is homeomorphic to the inverse limit of real tropicalizations, analogously to a result of Payne. We also show a real analogue of the fundamental theorem of tropical geometry. This is based on joint work with Philipp Jell and Claus Scheiderer.

Item Metadata

Title
Real tropicalization and analytification of semialgebraic sets.
Creator
Yu, Josephine
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2019-09-09T15:02
Description
I will define and discuss the tropicalization and analytification of semialgebraic sets. We show that the real analytification is homeomorphic to the inverse limit of real tropicalizations, analogously to a result of Payne. We also show a real analogue of the fundamental theorem of tropical geometry. This is based on joint work with Philipp Jell and Claus Scheiderer.
Extent
63.0 minutes
Subject
Mathematics; Algebraic geometry; Combinatorics
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Georgia Tech
Series
BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available
2020-03-08
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0389502
URI
http://hdl.handle.net/2429/73694
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Researcher
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International