Twelve bridges from a reductive group to its Langlands dual
G. Lusztig
TL;DR
This paper introduces Langlands philosophy by exploring the connections between a reductive group and its Langlands dual, based on lectures given in Wuhan in 2007.
Contribution
It offers an accessible introduction to Langlands philosophy focusing on the relationship between reductive groups and their duals.
Findings
Clarifies the concept of Langlands dual groups.
Provides foundational understanding for further research in Langlands program.
Summarizes key ideas from lectures on the topic.
Abstract
These notes are based on lectures given in Wuhan (China) in July 2007. Their aim is to provide an introduction to Langlands philosophy.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Advanced Algebra and Geometry