Mini-Course on an Exceptional Theta Correspondence and the Dual Group of a Spherical Variety - Part 3 of 4

Explore the exceptional theta correspondence between PGL2 and F4 in this advanced mathematical lecture delivered by Edmund Karasiewicz from the National University of Singapore. Delve into the intricate relationship between these mathematical structures as the speaker establishes key results on the lifting of representations of PGL2 with Spin(9) distinguished representations. Gain insights into the theoretical foundations and applications of this specialized area of representation theory and algebraic geometry. This presentation forms part of a comprehensive mini-course series examining the dual group of spherical varieties and their exceptional correspondences, making it essential viewing for graduate students and researchers working in representation theory, algebraic groups, and related mathematical fields.