Time: March 27, 2025, 4:00 pm

Place: Room 403, IMI – BAS

Speaker: Luis Ugarte (University of Zaragoza, Spain)

Title: Complex structures on Lie algebras and its application to the Hull-Strominger system

Further information: https://icms.bg/category/icms-seminar/

Abstract. In this talk we will explain the role that the Lie algebras play in the construction of 6-dimensional compact quotient spaces M=G/Γ, where Γ is a lattice, endowed with an invariant complex structure with holomorphically trivial canonical bundle.We will use the approach of stable forms in six dimensions to provide a classification of unimodular Lie algebras admitting a complex structure with non-zero closed (3,0)-form. Some of these spaces can be equipped with balanced Hermitian metrics and they provide invariant solutions of the Hull-Strominger system, even with non-flat connection on the tangent bundle satisfying the Hermitian-Yang-Mills condition.