Topology Seminar

Mon., Oct. 17, 2022 1:00 p.m.

Location: CL 312

Speaker: Masahiro Takeda, Kyoto University

Title: The Steenrod problem and some graded Stanley-Reisner rings

Abstract:

"What kind of rings can be represented as singular cohomology rings of spaces?" is a classic problem in algebraic topology, posed by Steenrod. When the rings are polynomial, this problem was especially well studied by various approaches, and finally solved by Anderson and Grodal in 2008. In this talk, we will consider what kind of graded Stanley-Reisner rings, as a generalization of polynomial rings, can be represented as cohomology rings by using a classical approach.