Topology Seminar
Upcoming Talks
The seminar will meet at 4:00pm on Tuesdays in Eckhart room 203 unless otherwise noted. There will also be a pretalk at 2:30pm in the same room.
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Katharine Adamyk (UC Boulder)
A classification of Q_0local A(1)modules
This talk will present a classification theorem for modules over A(1), a subalgebra of the mod2 Steenrod algebra. Applications of the classification theorem to lifting A(1)modules to modules over the Steenrod algebra will be discussed, as well as applications to the computation of certain localized Adams spectral sequences.

Montek Singh Gill (University of Michigan)
Stabilizations of E_\infty operads and padic stable homotopy theory
I will describe a new class of dg operads, the stable operads, which are in particular sense, stabilizations of E_\infty operads, and an application of these operads to padic stable homotopy theory. Cochains on spaces yield examples of algebras over E_\infty operads, and work of May shows that the operations present in the homology of E_\infty algebras in this case yield exactly the Steenrod operations. Moreover, a result of Mandell says that, endowed with this algebraic structure, the cochains provide algebraic models of padic homotopy types. We show that cochains on a spectrum yield algebras over our stable operads. We calculate the homology such algebras, showing that, in the case of a point, we get a certain completion of the generalized Steenrod algebra. Finally, we show that, endowed with this algebraic structure, the spectral cochains provide algebraic models for padic stable homotopy types.

Jonathan Campbell (Duke)
TBA

Prasit Bhattacharya (University of Virginia)
TBA

Jocelyne Ishak (Vanderbilt)
TBA

Eugenia Cheng
TBA

Michael Horst (Ohio State)
TBA

Niles Johnson (Ohio State)
TBA

Dominic Culver (UIUC)
TBA

Agnes Beaudry (UC Boulder)
TBA

Simona Paoli (University of Leicester)
TBA

Eva Belmont (Northwestern)
TBA

Inbar Klang (Columbia)
TBA

Lennart Meier (Utrecht)
TBA

John Lind (California State University)
TBA

Mike Hill (UCLA)
TBA
If you have any questions, please contact Hana Jia Kong or XiaoLin Danny Shi.