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Product Code:  CONM/732 
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Book DetailsContemporary MathematicsVolume: 732; 2019; 286 ppMSC: Primary 11; 14; 22; 32
This volume contains the proceedings of the Building Bridges: 3rd EU/US Summer School and Workshop on Automorphic Forms and Related Topics, which was held in Sarajevo from July 11–22, 2016. The articles summarize material which was presented during the lectures and speed talks during the workshop.
These articles address various aspects of the theory of automorphic forms and its relations with the theory of \(L\)functions, the theory of elliptic curves, and representation theory.
In addition to mathematical content, the workshop held a panel discussion on diversity and inclusion, which was chaired by a social scientist who has contributed to this volume as well.
This volume is intended for researchers interested in expanding their own areas of focus, thus allowing them to “build bridges” to mathematical questions in other fields.
ReadershipGraduate students and research mathematicians interested in number theory, representation theory, and arithmetic geometry.

Table of Contents

Articles

Samuele Anni — A note on the minimal level of realization for a mod $\ell $ eigenvalue system

Allison ArnoldRoksandich — A discussion on the number etaquotients of prime level

Claire Burrin — Dedekind sums, reciprocity, and nonarithmetic groups

Gautam Chinta, Ivan Horozov and Cormac O’Sullivan — Noncommutative modular symbols and Eisenstein series

Adriana Espinosa — An annotated discussion of a panel presentation on improving diversity in mathematics

Joshua S. Friedman, Jay Jorgenson and Lejla Smajlović — Superzeta functions, regularized products, and the Selberg zeta function on hyperbolic manifolds with cusps

Xavier Guitart and Marc Masdeu — Computing $p$adic periods of abelian varieties from automorphic forms

Anna Haensch and Ben Kane — An algebraic and analytic approach to spinor exceptional behavior in translated lattices

Abhash Kumar Jha and Brundaban Sahu — Differential operators on Jacobi forms and special values of certain Dirichlet series

Jay Jorgenson and Lejla Smajlović — Some results in study of Kronecker limit formula and Dedekind sums

Dubi Kelmer — Equidistribution of shears and their arithmetic applications

Kamal KhuriMakdisi — Fake proofs for identities involving products of Eisenstein series

Kamal KhuriMakdisi — Modular forms constructed from moduli of elliptic curves, with applications to explicit models of modular curves

Balesh Kumar, Jaban Meher and Sudhir Pujahari — Some remarks on the coefficients of symmetric power $L$functions

Junxian Li — On primes in arithmetic progressions

Benjamin Linowitz and Lola Thompson — The Fourier coefficients of Eisenstein series newforms

Kathrin Maurischat — Properties of Sturm’s formula

Almasa Odžak and Lamija Šćeta — An application of a special form of a Tauberian theorem

Almasa Odžak and Lamija Šćeta — On the zeros of some $L$ functions from the extended Selberg class

Ekin Ozman — Rational points on twisted modular curves

B. Ramakrishnan, Brundaban Sahu and Anup Kumar Singh — On the number of representations of certain quadratic forms in 8 variables

Manami Roy — Level of Siegel modular forms constructed via $\operatorname {sym}^3$ lifting

Fredrik Strömberg — Dimension formulas and kernel functions for Hilbert modular forms

Holger Then — An explicit evaluation of the Hauptmoduli at elliptic points for certain arithmetic groups

Antonela Trbović — Torsion groups of elliptic curves over quadratic fields

Siddhesh Wagh — Maass space for lifting from SL(2,$\mathbb {R}$) to GL(2,B) over a division quaternion algebra

Nahid Walji — On the occurrence of large positive Hecke eigenvalues for GL(2)

Lynne H. Walling — Representations by quadratic forms and the Eichler Commutation Relation

Shunsuke Yamana — Degenerate principal series and Langlands classification


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This volume contains the proceedings of the Building Bridges: 3rd EU/US Summer School and Workshop on Automorphic Forms and Related Topics, which was held in Sarajevo from July 11–22, 2016. The articles summarize material which was presented during the lectures and speed talks during the workshop.
These articles address various aspects of the theory of automorphic forms and its relations with the theory of \(L\)functions, the theory of elliptic curves, and representation theory.
In addition to mathematical content, the workshop held a panel discussion on diversity and inclusion, which was chaired by a social scientist who has contributed to this volume as well.
This volume is intended for researchers interested in expanding their own areas of focus, thus allowing them to “build bridges” to mathematical questions in other fields.
Graduate students and research mathematicians interested in number theory, representation theory, and arithmetic geometry.

Articles

Samuele Anni — A note on the minimal level of realization for a mod $\ell $ eigenvalue system

Allison ArnoldRoksandich — A discussion on the number etaquotients of prime level

Claire Burrin — Dedekind sums, reciprocity, and nonarithmetic groups

Gautam Chinta, Ivan Horozov and Cormac O’Sullivan — Noncommutative modular symbols and Eisenstein series

Adriana Espinosa — An annotated discussion of a panel presentation on improving diversity in mathematics

Joshua S. Friedman, Jay Jorgenson and Lejla Smajlović — Superzeta functions, regularized products, and the Selberg zeta function on hyperbolic manifolds with cusps

Xavier Guitart and Marc Masdeu — Computing $p$adic periods of abelian varieties from automorphic forms

Anna Haensch and Ben Kane — An algebraic and analytic approach to spinor exceptional behavior in translated lattices

Abhash Kumar Jha and Brundaban Sahu — Differential operators on Jacobi forms and special values of certain Dirichlet series

Jay Jorgenson and Lejla Smajlović — Some results in study of Kronecker limit formula and Dedekind sums

Dubi Kelmer — Equidistribution of shears and their arithmetic applications

Kamal KhuriMakdisi — Fake proofs for identities involving products of Eisenstein series

Kamal KhuriMakdisi — Modular forms constructed from moduli of elliptic curves, with applications to explicit models of modular curves

Balesh Kumar, Jaban Meher and Sudhir Pujahari — Some remarks on the coefficients of symmetric power $L$functions

Junxian Li — On primes in arithmetic progressions

Benjamin Linowitz and Lola Thompson — The Fourier coefficients of Eisenstein series newforms

Kathrin Maurischat — Properties of Sturm’s formula

Almasa Odžak and Lamija Šćeta — An application of a special form of a Tauberian theorem

Almasa Odžak and Lamija Šćeta — On the zeros of some $L$ functions from the extended Selberg class

Ekin Ozman — Rational points on twisted modular curves

B. Ramakrishnan, Brundaban Sahu and Anup Kumar Singh — On the number of representations of certain quadratic forms in 8 variables

Manami Roy — Level of Siegel modular forms constructed via $\operatorname {sym}^3$ lifting

Fredrik Strömberg — Dimension formulas and kernel functions for Hilbert modular forms

Holger Then — An explicit evaluation of the Hauptmoduli at elliptic points for certain arithmetic groups

Antonela Trbović — Torsion groups of elliptic curves over quadratic fields

Siddhesh Wagh — Maass space for lifting from SL(2,$\mathbb {R}$) to GL(2,B) over a division quaternion algebra

Nahid Walji — On the occurrence of large positive Hecke eigenvalues for GL(2)

Lynne H. Walling — Representations by quadratic forms and the Eichler Commutation Relation

Shunsuke Yamana — Degenerate principal series and Langlands classification