Kazushi Ueda, Noncommutative del Pezzo surfaces

We introduce the notion of noncommutative del Pezzo surfaces, and show that a collection of 12-d general vector bundles of certain ranks and degrees on an elliptic curve produces a noncommutative del Pezzo surface of degree d. We also define the moduli stack of marked noncommutative del Pezzo surfaces, and show that it contains the configuration space of 9-d points in general position on the projective plane as a locally closed substack. This is a joint work in progress with Tarig Abdelgadir and Shinnosuke Okawa.