Project Leader(s): Angelica Babei

Project Description:  TBD

Project Leader(s): Antoine Leudière

Project Description:  TBD

Project Leader(s): Jeff Hatley and Zack Porat

Project Description:  TBD

Project Leader(s): Melissa Emory and Tian An Wong

Project Description:  The explicit formulas of analytic number theory, going back to Riemann, relate sums over zeroes of L-functions in terms of sums over prime numbers. The 1972 reformulation by André Weil expresses the latter in terms of the Weil group, a dense subgroup of the absolute Galois group. In 2014, Arthur presented an explicit formula for automorphic L-functions in terms of the conjectural automorphic Langlands group, expected to be a certain extension of the Weil group. The goal of this project is to prove this formula. Succeeding this, we will also look for applications related to Sato-Tate conjectures, which describe the distribution of arithmetic objects such as Frobenius elements and Satake parameters.

Project Leader(s): TBD

Project Description:  TBD

Project Leader(s): TBD

Project Description:  TBD

Mentor: TBD

Statement of Equity, Diversity and Inclusion: TBD