Computational Algebra Seminar: Logan -- The Kodaira dimension of Hilbert modular threefolds

Speaker: Adam Logan (Waterloo)  
Title: The Kodaira dimension of Hilbert modular threefolds  
Time & Place: 15.00-16.00, Thursday 2 April, SMRI Seminar Rm  
Abstract: Following a method introduced by Thomas-Vasquez and developed by Grundman, 
we prove that many Hilbert modular threefolds of geometric genus 0 and 1 are of general 
type, and that some are of nonnegative Kodaira dimension. The new ingredient is a 
detailed study of the geometry and combinatorics of totally positive integral elements 
of a fractional ideal in a totally real number field that are minimal with respect to 
trace up to multiplication by totally positive units.