Former Research Area D: ‘Automorphic forms: global analysis and arithmetic’
The research of Research Area D is continued in Research Area DE as of 10/2012.
The theory of automorphic forms is a central area of mathematics with a rich history and deep connections to number theory, harmonic analysis and algebraic geometry. Recently p-adic versions have gained much attention in connection with the deformation theory of Galois representations. The interplay of arithmetic and analytic information of automorphic forms is one of the most important unifying ideas of modern mathematics. The Research Area focuses on:
- Trace formulas,
- Spectral theory of automorphic forms,
- Classical modular forms,
- Galois theory.