Fourier Expansion of Gan-Gurevich Lifts on the Exceptional Group of Type G_2

Learn about the Fourier expansion of Gan-Gurevich lifts on the exceptional group of type G_2 in this mathematical lecture delivered by Henry Kim from the University of Toronto at the Fields Institute. Explore advanced concepts in representation theory and automorphic forms as they relate to exceptional Lie groups, specifically focusing on the structural properties and analytical techniques used to understand these mathematical objects. Delve into the intricate connections between Fourier analysis and the representation theory of G_2, one of the five exceptional simple Lie groups, while examining how Gan-Gurevich lifts provide a framework for transferring automorphic representations between different groups. Gain insights into cutting-edge research in number theory and algebraic geometry through this specialized presentation that bridges abstract mathematical theory with concrete analytical methods.