Moore's Conjecture for polyhedral products Seminar
- Time:
- 14:00 - 15:00
- Date:
- 5 December 2016
- Venue:
- Building 54, Room 5027 (Lecture Theatre 5A), University of Southampton, Highfield, Southampton, SO17 1BJ
For more information regarding this seminar, please telephone Prof. Stephen Theriault on 023 8059 2141 or email S.D.Theriault@southampton.ac.uk .
Event details
In the late 1970's John Moore posed a conjecture which, if true, would establish a deep connection between the rational and torsion homotopy groups of simply-connected finite dimensional spaces. It has been verified only for certain special families of spaces. In this talk we show that Moore's Conjecture holds for generalised moment-angle complexes, and go on to characterise those polyhedral products which have finitely many rational homotopy groups. This is joint work with Y. Hao and Q. Sun.