# Department of Mathematics and Statistics

## UNCG Summer School in Computational Number Theory 2019

### Buildings

From June 17-21, 2019, the University of North Carolina at Greensboro will host the UNCG Summer School in Computational Number Theory: Buildings.

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.

On a typical day, external and local experts give talks in the morning, and in the afternoon students solve problems related to this material. The talks early in the week introduce the students to the subject. Talks later in the week cover related areas of current research and unsolved problems. The problems given to the students might be of a theoretical nature but could also involve programming problems and computer experiments. All problems are aimed at increasing the students’ understanding of the material by working with it.

#### Speakers

• Petra Schwer (Karlsruhe Institute of Technology): to be confirmed

#### Application

We will begin collecting applications in early October.

Coming soon.

Coming soon.

Coming soon.

#### Acknowledgements

The summer school in computational number theory is supported by UNCG and the NSF (DMS-1602025, DMS-???).