3 papers
math.AC2025
The ring of -invariant symmetric functions in characteristic 2
Sebastian Ørsted
We provide a simple presentation by generators and relations of the ring of -invariant symmetric functions over the field . Here, denotes the standard involu…
math.CT2018
Homotopy limits in the category of dg-categories in terms of -comodules
Sergey Arkhipov, Sebastian Ørsted
In this paper, we apply an explicit construction of a simplicial powering in dg-categories, due to Holstein (2016) and Arkhipov and Poliakova (2018), as well as our own results on…
math.CT2018
Homotopy (co)limits via homotopy (co)ends in general combinatorial model categories
Sergey Arkhipov, Sebastian Ørsted
We prove and explain several classical formulae for homotopy (co)limits in general (combinatorial) model categories which are not necessarily simplicially enriched. Importantly, we…