Zygotop seminar
We are an informal pedagogical seminar concerning algebraic topology and homotopy theory, localized at Harvard and MIT. Unless otherwise specified, talks will proceed on Wednesdays at 4:30pm ET, located in SC 310, and following a topic chosen by the speaker, organized according to these principles.
This seminar is organized by Keita Allen, who you should email with questions or to be added to the signal group chat. Click here to add this seminar to your google calendar.
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Power operations in Morava \(E\)-theory have been studied by Rezk. We consider analogous theories of power operations modulo sequences of Lubin-Tate parameters. Rezk shows that the algebra of additive operations is Koszul. We show that its analogs modulo Lubin-Tate parameters are Koszul and are related by cofiber sequences. This allows us to inductively show that certain Tor groups over the algebra of additive operations vanish in nonzero degrees. These \(Tor\) groups compute the linearization/indecomposables of the \(E_2\)-page of a bar spectral sequence converging to the graded \(E\)-cohomology of configuration spaces on \(\mathbb{R}^n\). This is joint work with Andrew Senger.
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