Irakli Patchkoria

activity

20242026

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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…

math.AT2024

Chromatic congruences and Bernoulli numbers

Irakli Patchkoria

For every natural number $n$ and a fixed prime $p$ , we prove a new congruence for the orbifold Euler characteristic of a group. The $p$ -adic limit of these congruences as $n$ tends…