This thesis consists of two parts. Both parts are about the algebra of theta functions. The first part is on the construction of the theta Hecke algebra, which contains both the graded algebra of theta functions and the Hecke algebra of the Heisenberg group with respect to certain discrete subgroup. The idea is originated from the theory of Connes-Moscovici. They construct the modular Hecke algebra which contains the usual graded algebra of modular forms for T, a congrunce subgroup of SL(2,Z), and the Hecke algebra of (GL+(2,Q),T) as subalgebras. In this paper, I will determine the structure of the theta Hecke algebra and express the multiplication explicitly. The second part is devoted to discuss certain deformations of the algebra of thet...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
Structure theorems for the ring of modular forms and the ideal of cusp forms with respect to a congr...
In this thesis we study a deformation of the group algebra of the symmetric group, the 0-Hecke algeb...
This book is a modern introduction to the theory of abelian varieties and theta functions.Here the F...
Structure theorems for the ring of modular forms and the ideal of cusp forms with respect to a congr...
Kazhdan and Patterson constructed generalized theta functions on covers of general linear groups as ...
Abstract. We study primitive theta functions, whichwere ¢rst introduced by Shintani, in a purely loc...
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 Gamma subset of SL2(Z) be a principal congruence subgroup. For each sigma is an element of SL2(Z...
overview The first lecture introduces the finite Hecke algebra H of a Coxeter system as a convolutio...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
Let Gamma subset of SL2(Z) be a principal congruence subgroup. For each sigma is an element of SL2(Z...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
Structure theorems for the ring of modular forms and the ideal of cusp forms with respect to a congr...
In this thesis we study a deformation of the group algebra of the symmetric group, the 0-Hecke algeb...
This book is a modern introduction to the theory of abelian varieties and theta functions.Here the F...
Structure theorems for the ring of modular forms and the ideal of cusp forms with respect to a congr...
Kazhdan and Patterson constructed generalized theta functions on covers of general linear groups as ...
Abstract. We study primitive theta functions, whichwere ¢rst introduced by Shintani, in a purely loc...
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 Gamma subset of SL2(Z) be a principal congruence subgroup. For each sigma is an element of SL2(Z...
overview The first lecture introduces the finite Hecke algebra H of a Coxeter system as a convolutio...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
Let Gamma subset of SL2(Z) be a principal congruence subgroup. For each sigma is an element of SL2(Z...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
Structure theorems for the ring of modular forms and the ideal of cusp forms with respect to a congr...
In this thesis we study a deformation of the group algebra of the symmetric group, the 0-Hecke algeb...