Unipotent Categorical Local Langlands

Explore the intricacies of unipotent categorical local Langlands in this lecture by Xinwen Zhu from the California Institute of Technology. Delivered as part of the 2021 Fields Medal Symposium honoring Peter Scholze, delve into advanced mathematical concepts such as algebraic stacks, constructive shifts, and spectral dynamistic stacks. Examine the canonical equivalence theorem, Michel's equivalence, and the applications of algebraic homology. Investigate the relative bar resolution and spectral side while navigating through complex notations and formulas in this comprehensive exploration of cutting-edge mathematical theory.

Introduction
Basic setup
Algebraic stack
Standard notations
Cut with stack
Shifts
Prestack
Constructive shifts
Canonical equivalence
Precise
Shift
Maintenance
Theorem
Michels equivalence
Basic element
Sub formula holds
Spectral dynamistic stack
Coherence springer shift
Other applications
Algebraic homology
Shift construction
Relative bar resolution
spectral side
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sheetlock
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