Title: Homotopy associative, homotopy commutative universal spaces of
Abstract: For any connected space X the James construction shows that $\Omega\Sigma X$ is universal in the category of homotopy associative H-spaces in the sense that any map from X to a homotopy associative H-space Y factors through a uniquely determined H-map $F:\Omega\Sigma X \longrightarrow Y$. In this talk we investigate the universal spaces of two-cell complexes in the category of homotopy associative, homotopy commutative $H$-spaces. The universal spaces we obtain generalise a result of Cohen, Moore, and Neisendorfer concerning odd dimensional odd-primary Moore spaces.
First Talk: A bordism approach to string topology.
Abstract: In this talk I will explain how to use geometric homology theory in order to construct the BV-structure of Chas and Sullivan on the homology of free loop spaces. All these constructions will use transversality in the context of infinite dimensional manifolds.
Second Talk: The homology of free loop spaces as a homological conformal field
Abstract: One of the most exciting conjecture in String topology is the fact the homology of free loop spaces should be a homological conformal field theory, this algebraic structure is very rich. We will explain that a Prop, namely the homology of the Sullivan's chord diagrams, acts on the homology of free loop spaces. The Prop of Sullivan's chord diagrams is very close to moduli spaces of curves and this result unifies under the same algebraic structure: The BV structure due to Chas and Sullivan and the Frobenius structure of Cohen and Godin.