Title of Paper: Schur_De-Rham complex and its cohomology

Author: Marcin Chalupnik

Email: mchal@mimuw.edu.pl

Abstract: We associate to a Young diagram a complex of strict
polynomial functors which we call the Schur-De-Rham complex. Its
cohomology turns out to reflect deep combinatorial properties of a
diagram. We show that if a ground field is of characteristic p,
the Schur-De-Rham complex is acyclic when the p-core of a diagram
is nontrivial. We also compute its cohomology for a diagram with a
trivial p-core and p-quotient consisting of a single diagram.