Usted está aquí: Inicio / Seminarios / Seminario de Representaciones de Álgebras / Actividades del Seminario de Representaciones de Álgebras / Perverse sheaves and schobers on Riemann surfaces

Perverse sheaves and schobers on Riemann surfaces

Ponente: Tobias Dyckerhoff
Institución: Universität Hamburg
Tipo de Evento: Investigación, Formación de Recursos Humanos
Cuándo 21/10/2020
de 09:00 a 10:00
Dónde https://www.him.uni-bonn.de/programs/current-trimester-program/new-trends-in-representation-theory/new-trends-in-representation-theory-school/
Agregar evento al calendario vCal
iCal

Perverse sheaves and schobers on Riemann surfaces

 

Reporting on joint work in progress with M. Kapranov, V. Schechtman, and Y. Soibelman, I will explain how to describe the derived constructible category of a stratified Riemann surface as representations of the so-called paracyclic category of the surface. This allows for geometric depictions of the various t-structures of interest (including the perverse one) and their interplay with Verdier duality. We will then discuss how this leads to an approach to categorified perverse sheaves (perverse schobers) and provide applications.

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.