papers

Publications (26)

math.AT2016

Stable finiteness properties of infinite discrete groups

Noé Bárcenas, Dieter Degrijse, Irakli Patchkoria

Let be an infinite discrete group. A classifying space for proper actions of is a proper -CW-complex such that the fixed point sets are contractible for all fi…

math.AT2011

On the Algebraic Classification of Module Spectra

Irakli Patchkoria

Using methods developed by Franke, we obtain algebraic classification results for modules over certain symmetric ring spectra (-algebras). In particular, for any symmetric ring…

math.AT2023

Comparison of equivariant cohomological dimensions

Mark Grant, Kevin Li, Ehud Meir +1

We compare three definitions of the equivariant cohomological dimension of a group with operators, coming from Takasu, Adamson and Bredon relative group cohomologies, giving exampl…

math.AT2015

Topological Hochschild homology and the cyclic bar construction in symmetric spectra

Irakli Patchkoria, Steffen Sagave

The cyclic bar construction in symmetric spectra and Bökstedt's original construction are two possible ways to define the topological Hochschild homology of a symmetric ring spect…

math.AT2021

The spectrum of derived Mackey functors

Irakli Patchkoria, Beren Sanders, Christian Wimmer

We compute the spectrum of the category of derived Mackey functors (in the sense of Kaledin) for all finite groups. We find that this space captures precisely the top and bottom la…

math.AT2020

Equivariant dimensions of groups with operators

Mark Grant, Ehud Meir, Irakli Patchkoria

Let be a group equipped with an action of a second group by automorphisms. We define the equivariant cohomological dimension , the equivariant geometric di…