3 papers
math.AT2019
Higher Segal spaces via higher excision
Tashi Walde
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 Goo…
math.RT2019
Generalised BGP reflection functors via the Grothendieck construction
Tobias Dyckerhoff, Gustavo Jasso, Tashi Walde
Inspired by work of Ladkani, we explain how to construct generalisations of the classical reflection functors of Bernšte\uın, Gel'fand and Ponomarev by means of the Grothendieck co…
math.RT2018
Simplicial structures in higher Auslander-Reiten theory
Tobias Dyckerhoff, Gustavo Jasso, Tashi Walde
We develop a novel combinatorial perspective on the higher Auslander algebras of type , a family of algebras arising in the context of Iyama's higher Auslander-Reiten t…