As a result, an entire philosophy, the Langlands program has developed around the relation between representation and number theoretic properties of automorphic forms.
32.
She was a speaker at the 1990 International Congress of Mathematicians, on decomposition into distinguished subspaces of certain spaces of square-integral automorphic forms.
33.
The theory of modular forms ( and, more generally, automorphic forms ) also occupies an increasingly central place in the toolbox of analytic number theory.
34.
Shimura himself has described his approach as'phenomenological': his interest is in finding new types of interesting behaviour in the theory of automorphic forms.
35.
This opened a field for later research on associated Dirichlet series and automorphic forms, and was a major step in the solution of Kummer's conjecture.
36.
"' Stephen S . Kudla "'( born 1950 Caracas, Venezuela ) is an American mathematician working in arithmetic geometry and automorphic forms.
37.
This is especially convenient in the theory of automorphic forms : for example all modern treatments of the Arthur-Selberg trace formula are done in this ad�lic setting.
38.
The values of " j " may be complex numbers, or in fact complex square matrices, corresponding to the possibility of vector-valued automorphic forms.
39.
Kra studies Riemann surfaces and their moduli spaces ( Teichm�ller spaces ) and their connection with Kleinian groups and associated automorphic forms and their applications for example in number theory.
40.
His research deals with arithmetic geometry, automorphic forms, Leibniz Prize by the Deutsche Forschungsgemeinschaft . In 2004 Harder received, with Friedhelm Waldhausen, the von Staudt Prize.
