Topology Seminar

Title: The algebraic tmf resolution
Speaker: Mark Behrens
Speaker Info: University of Notre Dame
Brief Description:
Special Note:

Let tmf denote the spectrum of topological modular forms. The tmf-resolution is the tmf-based Adams based spectral sequence for the sphere. I will discuss the algebraic behavior of this spectral sequence (e.g. after applying Ext). The algebraic E_1-term is described as Ext_A(2) of the bo-Brown-Gitler modules. I will then discuss joint work with JD Quigley and Mark Mahowald, where we identify how various parts of the algebraic tmf resolution pick out various parts of Ext of the mod 2 Steenrod algebra. This is the key technical input to our determination of the 2-primary Hurewicz image of tmf. Then I will discuss recent work with Prasit Bhattacharya and Dominic Culver, where we completely compute the v2-localized E_1-term of the algebraic tmf resolution.
Date: Monday, November 15, 2021
Time: 4:10pm
Where: Lunt 105
Contact Person: Benjamin Antieau
Contact email: antieau@northwestern.edu
Contact Phone: 847-491-5544
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