Topology Seminar
Upcoming Talks
The seminar will meet at 4:30pm on Tuesdays in Eckhart room 203 unless otherwise noted. There will also be a pretalk at 3pm in the same room.
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Craig Westerland (University of Minnesota)
Structure theorems for braided Hopf algebras
Special time: 3pm
The PoincaréBirkhoffWitt and MilnorMoore theorems are fundamental tools for understanding the structure of Hopf algebras. Part of the classification of pointed Hopf algebras involves a notion of “braided Hopf algebras.” I will present work in progress which will establish analogues of the PoincaréBirkhoffWitt and MilnorMoore theorems in this setting. The main new tool is a notion of a braided Lie algebra defined in terms of braided operads. This can be used to establish forms of these results, and also presents an unexpected connection to profinite braid groups and related operads.
This talk will take place at 3:00pm in room 203. There will also be a pretalk from 1:302:30pm in the same room.

Mingcong Zeng (University of Rochester)
Mackey functors and equivariant EilenbergMac Lane spectra
In the HillHopkinsRavenel solution of Kervaire invariant one problem, they give an analysis of norms of M \mathbbR, the C_{2}equivariant version of MU. They show that these spectra's slices are suspensions of H \mathbbZ, the EilenbergMac Lane spcetrum of constant Mackey functor. Specially, their 0th homotopy and slice are the constant Mackey functor. In this talk, we will compute RO(G)graded homotopy of H\mathbbZ, and talk about computation in homological algebra of \mathbbZmodules. These are ingredients of computation of RO(G)graded slice spectral sequences.
If you have any questions, please contact Dylan Wilson or Zev Chonoles.