Expansion principles of topological automorphic forms

• Applicant: Professor Dr. Gerd Laures
• Subject Area: Mathematics
• Term: from 2015 to 2018
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 269310477

In this project a character map for topological automorphic forms is developed, generalising the elliptic character from topological modular forms with values in K-theory. The aim is to prove an expansion principle, which further leads to the construction of a g-invariant, devised to detect the third chromatic stratum of the stable homotopy category.

• DFG Programme: Priority Programmes
• Subproject of: SPP 1786: Homotopy Theory and Algebraic Geometry
• International Connection: USA
• Cooperation Partner: Professor Dr. Mark Behrens