Title: some results in equivariant topological modular forms
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. If time permits, I will also mention a strange duality statement between U(n)-equivariant TMF and SU(k)-equivariant TMF.
Noah Riggenbach
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