Topology Seminar
Upcoming Talks
In Fall 2025, the UChicago Algebraic Topology Seminar will meet on Tuesdays at 4:00-5:00PM in Eckhart Hall 206 and will be preceded by a pretalk 3:30-4PM (unless otherwise noted).
To receive emails about the seminar, please email Nikolai Konovalov requesting to be subscribed to our mailing list.
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Sarah Petersen (University of Colorado Boulder)
Splittings of equivariant and motivic truncated Brown-Peterson cooperations algebras
In the 1980's, Mahowald and Kane used integral Brown-Gitler spectra to decompose $BP \langle 1 \rangle \wedge BP \langle 1 \rangle$ as a sum of finitely generated $BP \langle 1 \rangle$-module spectra. This splitting, along with an analogous decomposition of $ko \wedge ko$, led to a great deal of progress in stable homotopy computations and a complete understanding of $v_1$-periodicity in the stable homotopy groups of spheres. In this talk, I will discuss joint work with Guchuan Li, Jackson Morris, and Elizabeth Tatum in which we construct analogues of Mahowald and Kane's splittings in equivariant and motivic homotopy theory. I will then describe the $E_1$-pages of the analogous $BP \langle 1 \rangle$-based Adams spectral sequences in these settings and how this approach gives excellent access to $v_1$-periodicity in equivariant and motivic stable stems.
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Francis Baer (Wayne State University)
If you have any questions, please contact Sanath Devalapurkar, Nikolai Konovalov, Akhil Mathew, Tomer Schlank, or Peter May.