UNAM

Introduction to Fukaya categories 2

Ponente: James Pascaleff
Institución: University of Illinois
Tipo de Evento: Investigación, Formación de Recursos Humanos

Cuándo 09/10/2020
de 10:15 a 11:15
Dónde https://www.him.uni-bonn.de/programs/current-trimester-program/new-trends-in-representation-theory/new-trends-in-representation-theory-school/
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Introduction to Fukaya categories 2

 

This minicourse will provide an introduction to Fukaya categories. I will assume that participants are also attending Keller’s course on A∞ categories.

  • Lecture 1: Basics of symplectic geometry for Fukaya categories. Symplectic manifolds; Lagrangian submanifolds; exactness conditions; almost complex structures; holomorphic maps; Maslov indices and gradings. 
  • Lecture 2: Floer cohomology and the Fukaya category. Lagrangian intersection theory; Floer differential; A∞ operations; Gromov compactification and A∞ equations. 
  • Lecture 3: Examples of Fukaya categories. The case of surfaces; other cases as time permits.


NOTA: Esta charla es parte de la Escuela de Invierno "Connections between representation theory and geometry" que del 5 al 23 de octubre de 2020 tendrá lugar virtualmente en el Hausdorff Research Institute for Mathematics (HIM) de Bonn, Alemania, organizada por Jenny August, Sondre Kvamme, Daniel Labardini-Fragoso y Alexandra Zvonareva. Si quieres asistir, por favor visita la página web de la Escuela de Invierno e inscríbete.