Questions about Boij-S\"oderberg theory
  Boij-S\"oderberg theory focuses on the properties and duality relationship between two types of numerical invariants. One side involves the Betti table of a graded free resolution over the polynomial ring. The other side involves the cohomology table of a coherent sheaf on projective space. We discuss open questions and problems in Boij-S\"oderberg theory. 
Daniel Erman, Steven V Sam
math.AC math.AG