The Arithmetic of Coefficients of Certain Automorphic Forms on G2

Explore the arithmetic properties of coefficients in automorphic forms on the exceptional Lie group G2 in this 55-minute conference talk by Aleksander Horawa from Oxford University, presented as part of the International Workshop on Automorphic Forms organized by NCCR SwissMAP. Delve into advanced topics in number theory and representation theory as the speaker examines the intricate mathematical structures and arithmetic behaviors that emerge when studying these specialized automorphic forms. Gain insights into cutting-edge research connecting the theory of automorphic forms with the geometry and representation theory of exceptional groups, particularly focusing on how the coefficients of these forms exhibit specific arithmetic patterns and properties that are fundamental to understanding their deeper mathematical significance.