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Explore a conjectural construction of Arthur Packets within the framework of Fargues-Scholze's categorical local Langlands correspondence in this advanced mathematical lecture. Delve into cutting-edge research at the intersection of representation theory and arithmetic geometry as presented by Geo Kam-Fai Tam from Xiamen University Malaysia. Examine the theoretical foundations and potential applications of Arthur Packets in the context of the categorical local Langlands program, which represents a significant advancement in understanding the deep connections between Galois representations and automorphic forms. Gain insights into the sophisticated mathematical structures that emerge when combining Arthur's classification theory with the geometric methods developed by Fargues and Scholze, and understand how this conjectural construction might contribute to resolving fundamental questions in the Langlands program.
Syllabus
A conjectural construction of Arthur Packets in Fargues-Scholze's categorical local Langlands...
Taught by
Fields Institute