$p$-DG Cyclotomic nilHecke Algebras

Mikhail Khovanov, Columbia University, New York, New York. You Qi, University of Virginia, Charlottesville, Virginia. Joshua Sussan, The City University of New York (CUNY) Medgar Evers, Brooklyn, New York.

Chapters 1. Introduction 2. The quantum group at prime roots of unity 3. Elements of hopfological algebra 4. A double centralizer property 5. A categorification of quantum $\mathfrak {sl}_2$ at prime roots of unity 6. The nilHecke algebra 7. Some cyclic modules 8. Two-tensor quiver Schur algebra 9. $p$-DG Webster algebras 10. A categorification of a tensor product