IGAP Complex Differential Geometry series - Thursday, 19 January 2023, at 14:30 (Lorenzo Sillari)

[ICTP/math - Mabilo Koutou]

IGAP Complex Differential Geometry series - Thursday, 19 January 2023, at
14:30

Venue: Former SISSA Building (IGAP lecture room 205)

Please note unusual day and time.

We apologise for overlapping with other activities. We are working on
fixing this for future meetings. Claudio and Jacopo

Speaker: Lorenzo Sillari (SISSA)

Title: Invariants of almost complex manifolds: rank of the Nijenhuis tensor

Abstract: In this talk, I will discuss invariants of almost complex
manifolds, among which the rank of the Nijenhuis tensor. I will focus on
parallelizable manifolds, studying the local behaviour of such rank along
curves of almost complex structures, and describing how to produce
structures whose Nijenhuis tensor has prescribed rank. I will complete the
discussion classifying 6-nilmanifolds admitting a left-invariant almost
complex structure of given rank, underlining how the topology of the
manifold imposes constraints on the values of the rank. The theory will be
complemented with several examples. At the end of the talk, I shall
briefly recall certain invariants of complex manifolds and present the
possibility to define their generalization to almost complex manifolds.

The talk is based on the preprint arxiv.org:2211.08340 and on work in
progress joint with Prof. Adriano Tomassini.

https://indico.ictp.it/event/10243/