• Jaiung Jun (전재웅), The Hall algebra of the category of matroids

    Room 1401, Bldg. E6-1, KAIST

    To an abelian category A satisfying certain finiteness conditions, one can associate an algebra H_A (the Hall algebra of A) which encodes the structures of the space of extensions between objects in A. For a non-additive setting, Dyckerhoff and Kapranov introduced the notion of proto-exact categories, as a non-additive generalization of an exact category, which

  • Jaiung Jun (전재웅), On the Hopf algebra of multi-complexes

    Zoom ID: 869 4632 6610 (ibsdimag)

    In combinatorics, Hopf algebras appear naturally when studying various classes of combinatorial objects, such as graphs, matroids, posets or symmetric functions. Given such a class of combinatorial objects, basic information on these objects regarding assembly and disassembly operations are encoded in the algebraic structure of a Hopf algebra. One then hopes to use algebraic identities of