Free resolutions of function classes via order complexes

Algebra Seminar
Tuesday, November 19, 2019 - 1:30pm for 1 hour (actually 50 minutes)
Skiles 005
Justin Chen – Georgia Institute of Technology – jchen646@gatech.edu
Yoav Len

Function classes are collections of Boolean functions on a finite set. Recently, a method of studying function classes via commutative algebra, by associating a squarefree monomial ideal to a function class, was introduced by Yang. I will describe this connection, as well as some free resolutions and Betti numbers for these ideals for an interesting collection of function classes, corresponding to intersection-closed posets. This is joint work with Chris Eur, Greg Yang, and Mengyuan Zhang.