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The v2-local algebraic tmf resolution

Mark Behrens, University of Notre Dame
Tuesday, April 25, 2023 - 3:30pm to 4:30pm
PDL C-401
Mark Behrens

The tmf resolution (aka the tmf-based Adams spectral sequence) is a powerful tool for investigating the 2-primary stable stems, especially the second chromatic layer.  It is a natural evolution of Mahowald's "bo-resolutions".  A key first step in bo-resolutions is the computation of the \(v_1\)-periodic Ext of \(bo^i\).  In this talk I will discuss the analogous complete computation of the \(v_2\)-periodic Ext of \(tmf^i\).  This is joint work with Prasit Bhattacharya and Dominic Culver.

There will be a pre-talk aimed at graduate students 2:30-3:15pm, also in PDL C-401.

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