• Séminaire

Séminaire Cirget: «The determination of a shrinking Ricci soliton from its geometry at infinity»

Conférencier: Brett Kotschwar, Arizona State University

Résumé/Abstract: Shrinking solitons are self-similar solutions to the Ricci flow and models for the geometry of a solution near a developing singularity. The geometric behavior of a complete noncompact shrinking soliton near infinity is highly constrained; in dimension four, it has been conjectured that every such soliton is either smoothly asymptotic to a cone or to a (quotient of) a generalized cylinder. I will describe some uniqueness results, obtained jointly with Lu Wang, which demonstrate the extent to which a shrinking soliton is determined by its asymptotic geometry, and discuss their application to the classification problem in dimensions four and higher. 

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vendredi 15 février 2019
10 h à 11 h

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UQAM - Pavillon Président-Kennedy (PK)
PK-5115
201, avenue du Président-Kennedy
Montréal (QC)

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Mots-clés

  • Recherche
  • Mathématiques

Groupes

  • Département de mathématiques
  • Centre interuniversitaire de recherches en géométrie et topologie (CIRGET)