Bilkent Üniversitesi Matematik Bölümü Seminerleri
A Finite Free $(Z/2Z)^r$-Complex and its Homology
Berrin Şentürk
Bilkent University, Türkiye
In this talk, we consider the conjecture which states that if $G=(Z/pZ)^r$ and X is a finite free $G-CW$-complex, then the rank of $H_*(X , Z/pZ)$ over $Z/pZ$ is at least $2^r$. We formulate the algebraic version of the conjecture for $p=2$ and prove its equivalence with a conjecture concerning differential graded modules over polynomial rings.
