Speaker
Mark Behrens
(Notre Dame)
Description
This talk represents joint work with Kyle Ormsby, Nat Stapleton, and Vesna Stojanoska.
I will describe 3 different perspective on tmf_*tmf (localized at 2).
(1) the E_2-term of the Adams spectral sequence for tmf_*tmf decomposes as a direct sum of ext groups associated to bo-Brown-Gilter modules,
(2) modulo torsion, tmf_*tmf embeds into the ring of 2-variable modular forms, and
(3) modulo v_2-torsion, tmf_*tmf embeds into a product of TMF_0(N)_*, for various values of N, and how they are related.
Primary author
Mark Behrens
(Notre Dame)