Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Walde, Tashi"'
We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras on stratified manifolds, the main one being that constructible factoriz
Externí odkaz:
http://arxiv.org/abs/2403.19472
We introduce notions of lax semiadditive and lax additive $(\infty,2)$-categories, categorifying the classical notions of semiadditive and additive 1-categories. To establish a well-behaved axiomatic framework, we develop a calculus of lax matrices a
Externí odkaz:
http://arxiv.org/abs/2402.12251
We study complexes of stable $\infty$-categories, referred to as categorical complexes. As we demonstrate, examples of such complexes arise in a variety of subjects including representation theory, algebraic geometry, symplectic geometry, and differe
Externí odkaz:
http://arxiv.org/abs/2301.02606
Autor:
Walde, Tashi
Publikováno v:
Adv. Math. 398 (2022), 108175
We establish a large class of homotopy coherent Morita-equivalences of Dold-Kan type relating diagrams with values in any weakly idempotent complete additive $\infty$-category; the guiding example is an $\infty$-categorical Dold-Kan correspondence be
Externí odkaz:
http://arxiv.org/abs/1912.06368
Autor:
Walde, Tashi
Publikováno v:
Theory Appl. Categ. 35 (2020)
We show that the various higher Segal conditions of Dyckerhoff and Kapranov can all be characterized in purely categorical terms by higher excision conditions (in the spirit of Goodwillie-Weiss manifold calculus) on the simplex category $\Delta$ and
Externí odkaz:
http://arxiv.org/abs/1906.10619
Publikováno v:
Int. Math. Res. Not. IMRN, rnz194, 2019
Inspired by work of Ladkani, we explain how to construct generalisations of the classical reflection functors of Bern\v{s}te\u{\i}n, Gel'fand and Ponomarev by means of the Grothendieck construction.
Comment: 8 pages; v2: minor edits
Comment: 8 pages; v2: minor edits
Externí odkaz:
http://arxiv.org/abs/1901.06993
Publikováno v:
Adv. Math. 355 (2019), 106762
We develop a novel combinatorial perspective on the higher Auslander algebras of type $\mathbb{A}$, a family of algebras arising in the context of Iyama's higher Auslander-Reiten theory. This approach reveals interesting simplicial structures hidden
Externí odkaz:
http://arxiv.org/abs/1811.02461
Autor:
Walde, Tashi
Publikováno v:
Algebr. Geom. Topol. 21 (2021) 211-246
We exhibit the simplex category $\Delta$ and Segal's category $\Gamma$ as $\infty$-categorical localizations of the dendroidal categories $\Omega_\pi$ and $\Omega$ introduced by Moerdijk and Weiss. As an application we obtain an equivalence of $\inft
Externí odkaz:
http://arxiv.org/abs/1709.09935
Autor:
Walde, Tashi
We construct so called Hall monoidal categories (and Hall modules thereover) and exhibit them as a categorification of classical Hall and Hecke algebras (and certain modules thereover). The input of the (functorial!) construction are simplicial group
Externí odkaz:
http://arxiv.org/abs/1611.08241