Asymptotic Orthogonality Relation for GL(n,R) - ICBS 2024

Explore an advanced mathematical lecture on generalizing Dirichlet's character construction to $GL(n,\mathbb R)$ for $n\ge 2$. Delve into the extension of orthogonality relations from $GL(1,\mathbb R)$ to higher dimensions and discover their applications in analytic number theory. Learn about the joint work of Dorian Goldfeld, Eric Stade, and Michael Woodbury as they present their findings on asymptotic orthogonality relations for $GL(n,\mathbb R)$. Gain insights into how this research connects to classical problems in number theory and builds upon Dirichlet's foundational work on primes in arithmetic progressions.