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Explore the intricate connections between geometric Langlands theory and arithmetic in this advanced mathematical lecture delivered by Nick Rozenblyum from the University of Toronto at the Fields Institute. Delve into the sophisticated interplay between geometric representation theory and number theory, examining how the geometric Langlands correspondence relates to arithmetic structures and applications. Investigate the fundamental principles underlying this cutting-edge area of mathematics, including the categorical and geometric aspects of the Langlands program and their arithmetic implications. Analyze the theoretical frameworks that bridge algebraic geometry, representation theory, and number theory through the lens of geometric Langlands theory. Gain insights into current research developments and open problems in this rapidly evolving field that sits at the intersection of multiple mathematical disciplines.
Syllabus
Geometric Langlands and arithmetic
Taught by
Fields Institute