Amartya Shekhar Dubey --- Unital k-restricted Infinity Operads.
Автор: The New York City Category Theory Seminar
Загружено: 2025-10-22
Просмотров: 157
A Zoom talk given on October 22, 2025
Abstract: The goal is to understand unital \infty-operads by their arity restrictions. Given k \geq 1, we develop a model for unital k-restricted \infinty-operads, which are variants of \infinity-operads with (\leq k)-arity morphisms, as complete Segal presheaves on closed k-dendroidal trees built from corollas with valence \leq k. Furthermore, we prove that the restriction functors from unital \infty-operads to unital k-restricted \infty-operads admit fully faithful left and right adjoints by showing that the left and right Kan extensions preserve complete Segal objects. Varying k, the left and right adjoints give a filtration and a co-filtration for any unital \infty-operads by k-restricted \infty-operads. This is joint work with Yu Leon Liu.
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