Lander Hermans

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math.AT2024

A Deligne conjecture for prestacks

Ricardo Campos, Lander Hermans

We prove an analog of the Deligne conjecture for prestacks. We show that given a prestack $A$ , its Gerstenhaber--Schack complex $C_{GS} (A)$ is nat…

math.AT2023

A minimal model for prestacks and morphisms of operadic algebras via Koszul duality for box operads

Lander Hermans

Prestacks are algebro-geometric objects whose defining relations are far from quadratic. Indeed, they are cubic and quartic, and moreover inhomogeneous. Similarly, a morphism of $P…

math.AT2023

Box operads and higher Gerstenhaber brackets

Hoang Dinh Van, Lander Hermans, Wendy Lowen

We introduce a symmetric operad $□ p$ ("box-op") which describes a certain calculus of rectangular labeled ``boxes''. Algebras over $□ p$ , which we call box operads, ha…