Aleksandra Sobieska, University of Wisconsin - Madison
Authors: Maya Banks and Aleksandra Sobieska
2022 AWM Research Symposium
Combinatorial and Homological Methods in Commutative Algebra
What are the subcomplexes of a free resolution? This question is simple to state, but the naive approach leads to a computational quagmire that is infeasible even in small cases. In this talk, I will show how one can invoke the Bernstein--Gelcprime fand--Gelcprime fand (BGG) correspondence to address this question for free resolutions given by two well-known complexes, the Koszul and the Eagon--Northcott.