Categorification of the polynomial ring
Prof. Dr. Radmila Sazdanovic's talk
Date: 23.05.11 Time: 16.30 - 17.20 Room: Gwatt Zentrum
Coauthor: Mikhail Khovanov
Abstract: We develop a diagrammatic categorification of the polynomial ring Z[x], based on the geometrically defined graded algebra and show how to lift various operations on polynomials to the categorified setting. Our categorification satisfies a version of Bernstein-Gelfand-Gelfand reciprocity property with the indecomposable projective modules corresponding to xn and standard modules to (x-1)n in the Grothendieck ring.
Prof. Dr. Radmila Sazdanovic's talk
Date: 23.05.11 Time: 16.30 - 17.20 Room: Gwatt Zentrum
Coauthor: Mikhail Khovanov
Abstract: We develop a diagrammatic categorification of the polynomial ring Z[x], based on the geometrically defined graded algebra and show how to lift various operations on polynomials to the categorified setting. Our categorification satisfies a version of Bernstein-Gelfand-Gelfand reciprocity property with the indecomposable projective modules corresponding to xn and standard modules to (x-1)n in the Grothendieck ring.