Poincare and Hodge rings and their applications

Poincare and Hodge rings and their applications

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Dieter Kotschick, IAS
Fine Hall 214

We determine the structure of the rings of Poincare and Hodge polynomials, and analyze the tautological comparison map between them. This leads to interesting results about the Hodge numbers of Kaehler manifolds and of algebraic varieties, and in particular to the complete solution of a classical problem of Hirzebruch's.