Title: 48- and 96-periodic infinite families in the stable homotopy groups of spheres
Abstract: The stable homotopy groups of spheres are comprised of infinite, periodic families of elements. Localized at the prime two, the 192-periodic homology theory topological modular forms has been used to detect many 192-periodic families in the past decade. I will discuss forthcoming work with Prasit Bhattacharya and Irina Bobkova showing that some of these 192-periodic families assemble into larger 48- and 96-periodic families, confirming a conjecture from the TMF book. The proof relies on some observations about v_n-periodicity and the construction of new minimal self-maps on some 2-local finite complexes which may be of independent interest.
Arpon Raksit
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