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From Hall algebras to legendrian skein algebras

Ponente: Fabian Haiden
Institución: University of Oxford
Tipo de Evento: Investigación, Formación de Recursos Humanos
Cuándo 19/10/2020
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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From Hall algebras to legendrian skein algebras 

 

A mysterious relation between Hall algebras of Fukaya categories of surfaces and skein algebras was suggested by recent work of Morton-Samuelson and Samuelson-Cooper. I will discuss how
this relation can be made precise using knot theory of legendrian curves and general gluing properties of skein and Hall algebras. Along the way I aim to motivate and review notions such as Hall algebras, Fukaya categories of surfaces, and skein theory. Based on arXiv:1908.10358, arXiv:1910.04182, and ongoing work with Ben Cooper.

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.