In this note, I give a survey of my joint work with J. Millson [12, 13] on the Kudla-Millson theory, see e.g. [21]. The theme of this theory is to utilize Riemannian geometry and the theory of dual pairs and theta correspondence to construct modular forms with geometric interpretations. These modular forms, which are realized by theta series, take values in th
The Kudla-Millson theta series $\theta_{km}$ of a pseudoeuclidean space $V$ of signature $(p,q)$ and...
In this Paper we are interested in the geometric local theta correspondence at the Iwahori level esp...
This paper explores analogies between the Weil proof of the Riemann hypothesis for function fields a...
The classical construction of the Weil representation, with complex coefficients, has long been expe...
Abstract. In our previous paper [11], we established a correspondence between vector-valued holomorp...
Soit F un corps local non archimédien de caractéristique différente de 2 et de caractéristique résid...
In this thesis, the author reproves the result obtained by Moen, using a different model, lattice mo...
This book grew out of seminar held at the University of Paris 7 during the academic year 1985-86. Th...
Modular forms are functions with an enormous amount of symmetry that play a central role in number t...
The study of periods of automorphic forms using the theta correspondence and the Weil representation...
The study of periods of automorphic forms using the theta correspondence and the Weil representation...
Let F be a local non archimedean field of characteristic not 2 and residual characteristic p. The lo...
This paper belongs to a series devoted to the study of the cohomology of classifying spaces. General...
This paper belongs to a series devoted to the study of the cohomology of classifying spaces. General...
correspondence (see below) for non-compact arithmetic quotients of symmetric spaces associated to or...
The Kudla-Millson theta series $\theta_{km}$ of a pseudoeuclidean space $V$ of signature $(p,q)$ and...
In this Paper we are interested in the geometric local theta correspondence at the Iwahori level esp...
This paper explores analogies between the Weil proof of the Riemann hypothesis for function fields a...
The classical construction of the Weil representation, with complex coefficients, has long been expe...
Abstract. In our previous paper [11], we established a correspondence between vector-valued holomorp...
Soit F un corps local non archimédien de caractéristique différente de 2 et de caractéristique résid...
In this thesis, the author reproves the result obtained by Moen, using a different model, lattice mo...
This book grew out of seminar held at the University of Paris 7 during the academic year 1985-86. Th...
Modular forms are functions with an enormous amount of symmetry that play a central role in number t...
The study of periods of automorphic forms using the theta correspondence and the Weil representation...
The study of periods of automorphic forms using the theta correspondence and the Weil representation...
Let F be a local non archimedean field of characteristic not 2 and residual characteristic p. The lo...
This paper belongs to a series devoted to the study of the cohomology of classifying spaces. General...
This paper belongs to a series devoted to the study of the cohomology of classifying spaces. General...
correspondence (see below) for non-compact arithmetic quotients of symmetric spaces associated to or...
The Kudla-Millson theta series $\theta_{km}$ of a pseudoeuclidean space $V$ of signature $(p,q)$ and...
In this Paper we are interested in the geometric local theta correspondence at the Iwahori level esp...
This paper explores analogies between the Weil proof of the Riemann hypothesis for function fields a...