Explore the value-distribution problem of determinants on irrational lattices in this advanced mathematics lecture. Delve into how determinant values on an irrational lattice L⊂Mn(ℝ) are distributed across the real numbers, examining quantitative results from recent collaborative research with Wooyeon Kim. Discover how this work connects to the Oppenheim conjecture for quadratic forms of signature (2,2) in the case of n=2, building upon foundational studies by Eskin-Margulis-Mozes from 2005. Learn about cutting-edge developments in lattice theory, number theory, and dynamical systems as presented by a leading researcher from Yale University at the Institut des Hautes Etudes Scientifiques.