Extending Hodge Polynomials to Non-Kähler Geometry

Explore a 55-minute mathematics lecture that delves into the fascinating extension of Hodge polynomials beyond their traditional algebraic variety applications into non-Kähler geometry. Examine joint research findings that focus on LVMB manifolds as pluri-logarithmic transforms, presented by Ernesto Lupercio from CINVESTAV in collaboration with Ludmil Katzarkov, Kyoung-Seog Lee, and Laurent Meersseman. Learn how these mathematical constructions create a framework for studying motivic properties in expanded contexts, with particular emphasis on understanding the significance of zero divisors within the motivic ring of analytic spaces.