Shimura variety

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- Tags: - #todo/untagged - Refs: - Introduction to plectic cohomology https://webusers.imj-prg.fr/~jan.nekovar/pu/introplec.pdf#page=1 #resources/notes - https://www.youtube.com/watch?v=3ESH9URO3G4&list=PLCe-H2N8-ny6CuzEHzZshbqiuVVXIdVUe&index=3 #resources/videos - Links: - #todo/create-links

Shimura variety

Relation to plectic conjecture for motives: attachments/Pasted%20image%2020220424191712.png

Cohomology

attachments/Pasted%20image%2020220424191932.png

An instance of the plectic conjecture attachments/Pasted%20image%2020220424192002.png

Links to this page

unresolved links output

plectic cohomology in Unsorted/Shimura variety
special values of L functions

Computation in Hodge cohomology using the plectic conjecture, for abelian characters of CM fields and Hilbert modular forms. Yields a definition of a category of mixed Hodge structures: Expected to exist for arithmetic cohomology of a Shimura variety, using toroidal compactification See Tannakian categories.
automorphic form

Shimura variety
AWS 2022: Automorphic Forms Beyond \(\operatorname{GL}_2\)

Shimura variety

#todo/untagged #resources/notes #resources/videos #todo/create-links