special values of L functions

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special values of L functions

Relation to automorphic forms and motives: attachments/Pasted%20image%2020220424192259.png attachments/Pasted%20image%2020220424192335.png

Computation in Hodge cohomology using the plectic conjecture, for abelian characters of CM fields and Hilbert modular forms. attachments/Pasted%20image%2020220424192658.png attachments/Pasted%20image%2020220424192749.png attachments/Pasted%20image%2020220424192807.png Yields a definition of a category of mixed Hodge structures: attachments/Pasted%20image%2020220424192917.png Expected to exist for arithmetic cohomology of a Shimura variety, using toroidal compactification attachments/Pasted%20image%2020220424192946.png attachments/Pasted%20image%2020220424193015.png See Tannakian categories.

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