Topology Seminar
Upcoming Talks
Unless otherwise specified, talks are 4:005:00 Tuesdays, with a pretalk 2:403:40 Tuesdays. To receive emails about the seminar, please subscribe to our mailing list.

Hana Kong (IAS)
The Rmotivic and the C2equivariant stable homotopy categories, and the modified AdamsNovikov spectral sequence
The Rmotivic stable homotopy category has close connections to the C2equivariant category via the C2equivariant Betti realization map. For the bigraded homotopy groups, the C2equivariant spectra are usually more complicated to compute than the Rmotivic 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 Rmotivic computations help with the C2 equivariant ones. In the main talk, I will talk about joint work with Gabriel AngeliniKnoll, Mark Beherens, and Eva Belmont in which we construct the modified AdamsNovikov spectral sequence, aiming to build an odd primary analog of this Rmotivic and C2equivariant relationship.

Sanath Devalapurkar (Harvard)
A topological Sen operator
Abstract: I will explain a relationship between the topological Hochschild homology of truncated BrownPeterson spectra and Ravenel's filtration S^0 > ... > X(n) > ... > MU arising in the DevinatzHopkinsSmith proof of nilpotence. In particular, descent in THH along the map X(n1) > X(n) behaves like a topological analogue of the Sen operator recently studied by BhattLurieDrinfeld. 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) imageofJ spectrum.
If you have any questions, please contact Peter May