Topology Seminar
Upcoming Talks
Unless otherwise specified, talks are 4:00-5:00 Tuesdays, with a pretalk 2:40-3:40 Tuesdays. To receive emails about the seminar, please subscribe to our mailing list.
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Hana Kong (IAS)
The R-motivic and the C2-equivariant stable homotopy categories, and the modified Adams--Novikov spectral sequence
The R-motivic stable homotopy category has close connections to the C2-equivariant category via the C2-equivariant Betti realization map. For the bigraded homotopy groups, the C2-equivariant spectra are usually more complicated to compute than the R-motivic ones, due to the existence of the "negative cone". In the pretalk, I will explain this connection between these two stable homotopy categories. And I will talk about how R-motivic computations help with the C2 equivariant ones. In the main talk, I will talk about joint work with Gabriel Angelini-Knoll, Mark Beherens, and Eva Belmont in which we construct the modified Adams--Novikov spectral sequence, aiming to build an odd primary analog of this R-motivic and C2-equivariant relationship.
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Sanath Devalapurkar (Harvard)
A topological Sen operator
Abstract: I will explain a relationship between the topological Hochschild homology of truncated Brown-Peterson spectra and Ravenel's filtration S^0 --> ... --> X(n) --> ... --> MU arising in the Devinatz-Hopkins-Smith proof of nilpotence. In particular, descent in THH along the map X(n-1) --> X(n) behaves like a topological analogue of the Sen operator recently studied by Bhatt-Lurie-Drinfeld. I will also describe a relationship to some joint work with Arpon Raksit, which identifies THH(Z_p) with the connective cover of j^{tZ/p}, where j is the connective (complex) image-of-J spectrum.
If you have any questions, please contact Peter May