Abstract: An E_1 Calabi-Yau object A in a symmetric monoidal infinity-category C is a dualizable E_1 algebra together with an S^1-cyclic trace that exhibits a self duality of A. Examples include the cochain complex of any closed oriented manifold. By work of Barkan and Steinebrunner, every E_1 Calabi-Yau object in C defines a 2-d open field theory with values in C, which are symmetric monoidal functors from the open bordism category on disks to C. In joint work with Barkan and Steinebrunner, we show that any open field theory F extends canonically to an open-closed field theory whose value at the circle is the THH of the E_1 Calabi-Yau object A associated to F. As a corollary, we obtain an action of the moduli spaces of surfaces on the THH of E_1 Calabi-Yau algebras. This provides a space level refinement of previous work of Costello (over Q) and Wahl (over Z). Time permitting, I will discuss ongoing work with Andrea Bianchi on canonical local to global extensions of TFTs associated with E_\infty Calabi-Yau objects.