Lecture 1:

- Hochschild and coHochschild complex generalized to functors [W, Def 1.1]

- PROPS. Examples: A_\infty, Com, Frobenius (brief, see eg [WW, Sec 3]

- Definition of the natural and formal operations on the Hochschild complex

- Explicit description of the formal operations [W, Thm 2.1] (with proof if time permits)

- Relationship between the formal and natural operations [W, Thm 2.9]

- Example: the cap product [W, Sec 2.3].


Lecture 2:

- Practical construction of formal operations via action on the Hochschild complex of representable functors [WW, Thm 5.11]

- Example: open field theories (Costello/Konstevich-Soibelman's theorem) [WW, Sec 6.1]

- Example: Frobenius algebras (Tradler-Zeinalian) [WW, Sec 6.5]

- Computations of all the formal operations in the case open field theories [W, Sec 3.1]

- Application to string topology [W, Sec 4]


References:

[W]	Wahl, "Universal operations in Hochschild homology", arXiv:1212.6498
[WW]	Wahl and Westerland, "Hochschild homology of structured algebras", arXiv:1110.0651