When symplectic topology meets Banach space geometry

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Abstract

In this paper we survey some recent works that take the first steps toward establishing bilateral connections between symplectic geometry and several other fields, namely, asymptotic geometric analysis, classical convex geometry, and the theory of normed spaces.

Original languageEnglish
Title of host publicationInvited Lectures
EditorsSun Young Jang, Young Rock Kim, Dae-Woong Lee, Ikkwon Yie
Pages959-981
Number of pages23
ISBN (Electronic)9788961058056
StatePublished - 2014
Event2014 International Congress of Mathematicans, ICM 2014 - Seoul, Korea, Republic of
Duration: 13 Aug 201421 Aug 2014

Publication series

NameProceeding of the International Congress of Mathematicans, ICM 2014
Volume2

Conference

Conference2014 International Congress of Mathematicans, ICM 2014
Country/TerritoryKorea, Republic of
CitySeoul
Period13/08/1421/08/14

Keywords

  • Hamiltonian diffeomorphisms
  • Hofer's metric
  • Mahler's conjecture
  • Symplectic capacities
  • Viterbo's volume-capacity conjecture

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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