Introduction to A-infinity structures 2
Institución: Université de Paris (Paris 7)
Tipo de Evento: Investigación, Formación de Recursos Humanos
Cuándo |
07/10/2020 de 09:00 a 10:00 |
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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 A-infinity structures 2
In this minicourse, we will present basic results on A-infinity algebras, their modules and their derived categories. We will start with two motivating problems from representation theory. Then we
will briefly present the topological origin of A-infinity structures. We will then define and study A-infinity algebras and their morphisms. Of central importance are the bar construction and Kadeishvili's theorem on the existence of minimal models. We will then define the derived category of an A-infinity algebra or category and describe its full subcategory generated by the representables using twisted objects.
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.