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Monday, October 9, 2017

**Abstract:** If $E$ is a complex-oriented spectrum, then we can obtain a formal group law on $\pi_\ast E$ from the map $\mathbb{CP}^\infty\times\mathbb{CP}^\infty\rightarrow\mathbb{CP}^\infty$ classifying the tensor product of line bundles. If $E$ is Landweber exact, this formal group law completely controls the structure of stable operations in $E$-cohomology. There are, however, many useful unstable cohomology operations. In this talk, I will try to say something about structures related to these.