Felix Loubaton

activity

20242026

collaborators

4 papers

math.CT2026

Day convolution for algebraic patterns

Thomas Blom, FÃ©lix Loubaton, Jaco Ruit

We characterize the exponentiable objects for a wide range of structures prevalent in $\infty$ -categorical algebra, extending the construction of Day convolution to more general st…

math.CT2025

On the squares functor and the Gaitsgory-Rozenblyum conjectures

FÃ©lix Loubaton, Jaco Ruit

In the seminal work of Gaitsgory and Rozenblyum on derived algebraic geometry, eight conjectures regarding the theory of $(\infty, 2)$ -categories are stated. This paper aims to clar…

math.CT2025

Effectivity of Generalized Double $\infty$ -Categories

We construct an adjunction between $m$ -categories internal to $(\infty, n)$ -categories, called $(n, m)$ -double $\infty$ -categories, and filtrations $A_{0} \to \dots \to A_{m}$ where for al…

math.CT2024

A model for the coherent walking $I ¨ $ -equivalence

We prove that a certain $I ¨ $ -category, which was constructed in previous work by the third and fourth author, is a model for the fully coherent walking $I ¨ $ -equivalence. Further, a…

Day convolution for algebraic patterns

On the squares functor and the Gaitsgory-Rozenblyum conjectures

Effectivity of Generalized Double ∞-Categories

A model for the coherent walking I¨-equivalence

Effectivity of Generalized Double $\infty$ -Categories

A model for the coherent walking $I ¨ $ -equivalence