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The Steenrod problem and Stanley Reisner ring

Hold Date 2022-05-20 17:10~2022-05-20 18:10

Place IMI Conference Room (D414)

Object person  

Speaker Masahiro Takeda (Kyoto University)

The question “What kind of rings can be represented as singular cohomology rings of spaces?” is a classic problem in algebraic topology, posed by Steenrod. When rings are the polynomial rings, 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.