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Explore advanced connections between wall-crossing phenomena, the Gan-Gross-Prasad (GGP) conjecture, and Artin formalism in this 57-minute conference talk delivered at the International Centre for Theoretical Sciences. Delve into sophisticated mathematical concepts that bridge automorphic forms and arithmetic geometry as part of the "Automorphic Forms and the Bloch–Kato Conjecture" program. Examine how these three fundamental areas of modern number theory intersect and inform each other, with particular attention to their roles in understanding special values of L-functions and their arithmetic significance. Gain insights into cutting-edge research that contributes to the broader understanding of the Bloch-Kato conjecture and its connections to automorphic representations, building upon foundational work in algebraic number theory and representation theory.
