Summer School in Computational Number Theory 2019

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This award supports participation in a series of summer schools in computational number theory. The upcoming summer school, to be held at the University of North Carolina - Greensboro, summer 2019 we be on the topic of Buildings. The aim of the one-week summer school is to complement the traditional training that graduate students receive by exposing them to a constructive and computational approach to many objects in number theory. This furthers their knowledge and gives the students additional tools for their research. Furthermore, the school provides the students the opportunity to work closely with experts in the field.The Bruhat-Tits building associated to a p-adic reductive group is a simplicial analogue of the classical symmetric space associated to a semi-simple Lie group. The study of these buildings has been an important tool in understanding p-adic groups as well as arithmetic lattices. Buildings have enjoyed playing key roles in several areas, including number theory, geometry, algebra, and combinatorics. The summer school is valuable to students for their careers as researchers and in their post-doctoral lives, since the event helps to create research communities. By meeting and working with other graduate students in their field, the students lay the foundation for future collaboration. In the years after the summer school, they will have opportunities to meet again at one of the regional conferences, including the Palmetto Number Theory Series and the South Eastern Meeting on Numbers. Additionally, by introducing the students to a computational approach to number theory, this project will enhance the next generation of mathematicians by increasing their ability to use computing technology in their research.For more information, see http://www.uncg.edu/math/numbertheory/summerschool/This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.