Complex structures on nilpotent almost abelian Lie algebras
Romina M. Arroyo (Universidad Nacional de Cordoba)
Abstract: The question of which nilpotent Lie algebras admit complex structures is far from being understood. In recent decades, progress has primarily focused on providing algebraic obstructions to the existence of such structures, with classification results being limited to low-dimensional cases.
The aim of this talk is to introduce the key concepts necessary to understand the problem, including the definition of (nilpotent) Lie algebras, the notion of a complex structure on them, etc. Additionally, I will present a recent classification result for nilpotent almost abelian Lie algebras, which was obtained through collaborative work with María Laura Barberis, Verónica Díaz, Yamile Godoy, and María Isabel Hernández.
algebraic geometrynumber theory
Audience: researchers in the discipline
Series comments: The Number Theory and Algebraic Geometry (NT-AG) seminar is a research seminar dedicated to topics related to number theory and algebraic geometry hosted by the NT-AG group (Nils Bruin, Imin Chen, Stephen Choi, Katrina Honigs, Nathan Ilten, Marni Mishna).
We acknowledge the support of PIMS, NSERC, and SFU.
For Fall 2025, the organizers are Katrina Honigs and Peter McDonald.
We normally meet in-person in the indicated room. For online editions, we use Zoom and distribute the link through the mailing list. If you wish to be put on the mailing list, please subscribe to ntag-external using lists.sfu.ca
| Organizer: | Katrina Honigs* |
| *contact for this listing |
