On Hodge Polynomials for Non-Algebraic Complex Manifolds
演讲者
Etnesto Lupercio
时间
2024年11月28日 10:00 至 11:00
地点
A6-101
线上
Zoom 638 227 8222
(BIMSA)
摘要
Hodge theory, with its pivotal role in connecting the geometry of varieties and their cohomology groups, offers profound insights into algebraic varieties' intricate structure. This work explores the extension of Hodge polynomials to a broader range of geometries, particularly non-Kähler complex manifolds.
We investigate the preservation of the intrinsic motivic nature of Hodge polynomials in the context of a large family of non-algebraic manifolds, such as Hopf, Calabi-Eckmann, and LVM manifolds. Our research establishes the preservation of the motivic properties of Hodge polynomials under these new settings, supported by explicit calculations. This work is a collaboration with Ludmil Katzarkov (University of Miami, IMSA and ICMS), Kyoung-Seog Lee (POSTECH), Laurent Meersseman (Université d’Angers), and others.
We investigate the preservation of the intrinsic motivic nature of Hodge polynomials in the context of a large family of non-algebraic manifolds, such as Hopf, Calabi-Eckmann, and LVM manifolds. Our research establishes the preservation of the motivic properties of Hodge polynomials under these new settings, supported by explicit calculations. This work is a collaboration with Ludmil Katzarkov (University of Miami, IMSA and ICMS), Kyoung-Seog Lee (POSTECH), Laurent Meersseman (Université d’Angers), and others.