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Washington State University
Combinatorics, Linear Algebra and Number Theory Seminar

Department of Mathematics and Statistics
  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
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.