Abstract:
Hopkins-Mahowald introduced the spectrum TMF as a prominent example of spectra with chromatic height 2. In this talk, I will discuss some computational results in equivariant TMF, as constructed by Lurie and Gepner-Meier. A connection between circle-group equivariant TMF and Jacobi forms, along with the theorem of the cube for oriented elliptic curves, recovers the computation of C_2-equivariant TMF studied by Meier and Chua. This connection also leads to a computation of C_3-equivariant TMF.