Geometry & Topology - Jongbaek Song - The integral cohomology of certain singular spaces
Speaker: Jongbaek Song (KIAS)
Title: The integral cohomology of certain singular spaces
Abstract: There is a variety of cohomology theories for studying singular spaces. These theories sometimes yield information about the ordinary cohomology with field coefficients. However, the ordinary cohomology with integral coefficients remains difficult to compute. In this talk, we introduce a concept of a "q-CW complex" to detect torsion in the integral cohomology of certain singular spaces and apply the result to a certain class of singular toric varieties.