The cd-index of a Semi-Eulerian Complex

Watch a 52-minute mathematics research lecture where José Alejandro Samper Casas from Pontificia Universidad Catolica de Chile presents findings on generalizing the cd-index from Eulerian to semi-Eulerian posets at IPAM's Computational Interactions between Algebra, Combinatorics, and Discrete Geometry Workshop. Explore how the research proves that for connected simplicial semi-Eulerian Buchsbaum posets, all coefficients of the cd-index maintain non-negativity, validating Novik's conjecture for odd-dimensional manifolds while extending it to even-dimensional cases. Delve into this collaborative work with Martina Juhnke and Lorenzo Venturello, recorded at UCLA's Institute for Pure & Applied Mathematics in February 2025.