22 January 2025 — Verona

Detecting non-Fourier-Mukai functors

Felix Küng, Université Libre de Bruxelles

Abstract

Fourier-Mukai functors can be thought of as geometric functors. We recall some results on their structure and the construction of A. Rizzardo, M. Van den Bergh and A. Neeman of candidate non-Fourier-Mukai functors before presenting a new interpretation of the non-enhanceability proof and avenues for generalizing it.