Research Group
| Seminar | WSU Colloquium
| Department Home

Washington State
University

Combinatorics, Linear Algebra and Number Theory Seminar

Department of Mathematics and Statistics

Zoom

November 1, Monday, 4:10 - 5:00 PM

Adrian Barquero-Sanchez

Escuela de Matematica

Universidad of Costa Rica

Combinatorics, Linear Algebra and Number Theory Seminar

Department of Mathematics and Statistics

Zoom

November 1, Monday, 4:10 - 5:00 PM

Adrian Barquero-Sanchez

Escuela de Matematica

Universidad of Costa Rica

Title: Theta series and totally real number fields

Abstract: In this talk, we illustrate a method to construct theta series attached to totally real number fields. In particular, we show how in low degree these theta series constitute a complete invariant. We finish by discussing some experimental work on the spaces of modular forms generated by these theta series. This is joint work with Guillermo Mantilla-Soler and Nathan C. Ryan.

Abstract: In this talk, we illustrate a method to construct theta series attached to totally real number fields. In particular, we show how in low degree these theta series constitute a complete invariant. We finish by discussing some experimental work on the spaces of modular forms generated by these theta series. This is joint work with Guillermo Mantilla-Soler and Nathan C. Ryan.