$L_\infty$-spaces and Lie algebroids

This talk will introduce and describe the idea of an $L_\infty$-space, which presents a particularly tractable type of
derived stack, in much the same way that an $L_\infty$-algebra presents a deformation problem. Lie algebroids will provide a
motivating source of examples. We hope to explain applications of this formalism to quantum field theory at the end.