Now showing items 1-5 of 5

    • Cobordism calculations with Adams and James spectral sequences 

      Erdal, Mehmet Akif (Bilkent University, 2010)
      Let ξn : Z/p → U(n) be an n-dimensional faithful complex representation of Z/p and in : U(n)→O(2n) be inclusion for n ≥ 1. Then the compositions in ◦ ξn and jn ◦ in ◦ ξn induce fibrations on BZ/p where jn : O(2n) → O(2n ...
    • Concrete sheaves and continuous spaces 

      Özkan Recep (Bilkent University, 2015)
      In algebraic topology and differential geometry, most categories lack some good ”convenient” properties like being cartesian closed, having pullbacks, pushouts, limits, colimits... We will introduce the notion of continuous ...
    • A conjecture on square-zero upper triangular matrices and Carlsson's rank conjecture 

      Şentürk, Berrin (Bilkent University, 2018-09)
      A well-known conjecture states that if an elementary abelian p-group acts freely on a product of spheres, then the rank of the group is at most the number of spheres in the product. Carlsson gives an algebraic version ...
    • Free actions on CW-complexes and varieties of square zero matrices 

      Şentürk, Berrin (Bilkent University, 2011)
      Gunnar Carlsson stated a conjecture which gives a lower bound on the rank of a differential graded module over a polynomial ring with coefficients in algebraically closed field k when it has a finite dimensional homology ...
    • Monoid actions, their categorification and applications 

      Erdal, Mehmet Akif (Bilkent University, 2017-01)
      We study actions of monoids and monoidal categories, and their relations with (co)homology theories. We start by discussing actions of monoids via bi-actions. We show that there is a well-defined functorial reverse action ...