Working Groups

Working Groups

Reading Groupoid - On the equivalence between Lie algebroids and homological vector fields

Speaker:  Asier López-Gordón (IMPAN, Warsaw, Poland)
Date:  Tuesday, 02 June 2026 - 15:30
Place:  Aula Gris 2, ICMAT
Online:  https://us02web.zoom.us/j/83154047051?pwd=hLgYMgeEaXl7sm6yDbGbrux9jAOepl.1 (ID: 831 5404 7051; Código de acceso: 050861)

Abstract:

Vaintrob (1997) discovered that a Lie algebroid can be uniquely characterised as a supermanifold endowed with an odd and self-commuting vector field Q. This means that the anchor and the Lie bracket can be recovered from Q. Moreover, Lie algebroid morphisms are equivalent to morphisms of supermanifolds which relate the associated vector fields Q_1 and Q_2. This formalism is specially useful when we want to consider an additional geometric structure compatible with the Lie algebroid, e.g. VB-algebroids. I will briefly introduce the main ideas of supergeometry and explain the equivalence.

Más información:

https://readinggroupoid.org/index.html