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# On DGAs with polynomial homology

## July 11 at 14:00 – 16:00 CEST

Julius Frank (Bielefeld)

Abstract: It is surprisingly hard to find non-trivial examples of DGAs whose homology is polynomial in one generator. I will discuss one such example, which is a derived quotient of a discrete ring by an odd prime. I will also give one reason why it is hard to find examples: If the homology of a DGA A is polynomial over a perfect F_p-algebra and the underlying ring spectrum of A refines to an E_3-ring spectrum, then A must already be trivial in a certain sense.