Thematic Einstein Semester on
Geometric and Topological Structure of Materials
Summer Semester 2021
Speaker
Andrew Newman (Carnegie Mellon)
Title
Random subcomplexes and Betti numbers of random edge ideals
Abstract
The (co)edge ideal of an Erdős–Rényi random graph is a model of a squarefree monomial ideal. Algebraic invariants of the random ideal can be understood via Hochster's formula by studying the topology of subcomplexes of the underlying random flag complex. In this talk, we first describe this translation from commutative algebra to topology and then discuss new results about the Betti numbers of edge ideals of random graphs. This is joint work with Anton Dochtermann.
Contact
tes-summer2021@math.tu-berlin.de