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 3:00pm in the same room.
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Allen Yuan (MIT)
The Frobenius in higher algebra
In classical algebra, the Frobenius provides a natural endomorphism of every ring in which p=0; this determines an action of the circle on the category of F_p algebras. In higher algebra, one can do away with the characteristic p assumption and define a Frobenius map for every Einfinity ring spectrum. In this talk, I will explain the analog of the circle action. The construction of the action features equivariant homotopy theory and a calculation of a nongroupcomplete variant of the K theory of F_p.

Tony Feng (Stanford University)
The ArtinTate pairing on the Brauer group of a surface
Joint NT seminar: 23:20pm in Ryerson 358
There is a canonical pairing on the Brauer group of a surface over a ﬁnite ﬁeld, and an old conjecture of Tate predicts that this pairing is alternating. I will present a resolution to Tate’s conjecture, whose key ingredient is a surprising connection to Steenrod operations.
If you have any questions, please contact Dylan Wilson or Zev Chonoles.