# One condition for rational hyperbolicity for moment angle complexes

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Sam Gitler, CINVESTAV, IAS
Fine Hall 322

There is a conjecture in rational homotopy which states "If a finite dimensional space X has two indecomposable classes in the rational cohomology whose cup product is zero, then its rational homotopy has exponential growth , ie, it is hyperbolic." We verify this conjecture for the space X a moment angle complex.