Lecture by Karim Adiprasito (Hebrew University of Jerusalem): Triangulated manifolds, Lefschetz conjectures and the revenge of marriages
Stanley gave us necessary conditions that f-vectors of simplicial polytopes must satisfy by relating the problem to the hard Lefschetz theorem in algebraic geometry, an insurmountably deep and intimidating theorem in algebraic geometry. McMullen conjectured that these conditions are necessary in general, posing before us the problem of proving the hard Lefschetz theorem beyond what algebraic geometers would dream of.
I will talk about the revenge of combinatorics, and in particular discuss how Hall's marriage theorem (or rather, one of its proofs) provides a way to this deep algebraic conjecture.
Based on arxiv:1812.10454
Time & Location
Feb 04, 2019 | 02:15 PM
Freie Universität Berlin
Institut für Informatik
Room 005 (Ground Floor)