Project description

The theory of topological automorphic forms conceptually generalizes the theory of topological modular forms to arbitrary chromatic height. In this project new examples of such cohomology theories are constructed. The key is an expansion principle which allows to check whether certain generators are integral. This transchromatic character map gives rise to new $>p$-local invariants in stable homotopy theory.

Related publications

Hanno von Bodecker, Sebastian Thyssen. Topological Automorphic Forms via Curves  arXiv:1705.02134.

Hanno von Bodecker and Sebastian Thyssen, On p-local Topological Automorphic Forms for $U(1,1;\mathbb{Z}[i])$. arXiv:1609.08869, 2016

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