3 papers
math.CT2026
Day convolution for algebraic patterns
Thomas Blom, Félix Loubaton, Jaco Ruit
We characterize the exponentiable objects for a wide range of structures prevalent in -categorical algebra, extending the construction of Day convolution to more general st…
math.CT2025
On the squares functor and the Gaitsgory-Rozenblyum conjectures
Félix Loubaton, Jaco Ruit
In the seminal work of Gaitsgory and Rozenblyum on derived algebraic geometry, eight conjectures regarding the theory of -categories are stated. This paper aims to clar…
math.CT2024
Formal category theory in -equipments II: Lax functors, monoidality and fibrations
Jaco Ruit
We study the framework of -equipments which is designed to produce well-behaved theories for different generalizations of -categories in a synthetic and uniform fas…