Irakli Patchkoria

activity

20242026

collaborators

3 papers

math.AT2026

Chromatic Euler characteristics and duality for infinite groups

Gijs Heuts, Irakli Patchkoria

We study a family of generalizations of the notion of Euler characteristic of discrete groups (or of orbifolds, depending on one's perspective) indexed on the natural numbers. For…

math.AT2025

On the Farrell--Tate $K$ -theory of $Out (F_{n})$

Naomi Andrew, Irakli Patchkoria

Using LÃ¼ck's Chern character isomorphism we obtain a general formula in terms of centralisers for the $p$ -adic Farrell--Tate $K$ -theory of any discrete group $G$ with a finite cla…

math.AT2024

Character theory and Euler characteristic for orbispaces and infinite groups

Wolfgang LÃ¼ck, Irakli Patchkoria, Stefan Schwede

Given a discrete group $G$ with a finite model for $E G$ , we study $K (n)^{*} (B G)$ and $E^{*} (B G)$ , where $K (n)$ is the $n$ -th Morava $K$ -theory for a given prime and $E$ is…

Chromatic Euler characteristics and duality for infinite groups

On the Farrell--Tate K-theory of Out(Fn​)

Character theory and Euler characteristic for orbispaces and infinite groups

On the Farrell--Tate $K$ -theory of $Out (F_{n})$