Michael Albanese, Université du Québec à Montréal

Title: The Yamabe invariant of Inoue surfaces

Abstract: The Yamabe invariant is a real-valued diffeomorphism
theory, LeBrun showed that the sign of the Yamabe invariant of a
Kähler surface is determined by its Kodaira dimension, a
complex-geometric invariant. We show that Inoue surfaces and their
blowups have Yamabe invariant zero which demonstrates that the
non-Kähler analogue of LeBrun's theorem does not hold.