Ville Uotila: Moduli spaces of one-dimensional stable sheaves on Enriques surfaces

Enriques surfaces are the weird cousins of K3 surfaces, arising as quotients of certain K3 surfaces under a free anti-symplectic involution. Although the theory of moduli spaces of one-dimensional stable sheaves on K3 surfaces is well-developed, many basic questions remain unanswered in the Enriques case. In this talk, we explore some open questions related to these objects, and demonstrate new progress in understanding their Hodge theory.