Resolution of symplectic and closed G_2 orbifolds

Lucia Martin-Merchan

12 jul 2022 -- 16:00

Università di Torino (online)

Seminari PRIN

Abstract.

Symplectic and closed G₂ orbifolds are singular spaces endowed with a stable closed form. Their desingularization has produced celebrated examples, such as simply connected compact symplectic manifolds without Kähler metrics, and closed G₂ manifolds with b₁₌₁ not admitting metrics with holonomy contained in G_2. It is remarkable that there are few general theorems for orbifold desingularization. In this talk, we present two resolution methods: 4-dimensional symplectic orbifolds and closed G₂ orbifolds M/Z_2, with M a closed G₂ manifold.