On Galois structure invariants associated to Tate motives

1998 ◽  
Vol 120 (6) ◽  
pp. 1343-1397 ◽  
Author(s):  
D Burns ◽  
M Flach
Keyword(s):  
Galois Structure ◽  
Tate Motives

scholarly journals The motivic Satake equivalence

2021 ◽  
Author(s):  
Timo Richarz ◽  
Jakob Scholbach
Keyword(s):  
Dual Group ◽  
Tate Motives

AbstractWe refine the geometric Satake equivalence due to Ginzburg, Beilinson–Drinfeld, and Mirković–Vilonen to an equivalence between mixed Tate motives on the double quotient $$L^+ G {\backslash }LG / L^+ G$$ L + G \ L G / L + G and representations of Deligne’s modification of the Langlands dual group $${\widehat{G}}$$ G ^ .

scholarly journals ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF THE INFINITESIMAL TATE CURVE

2017 ◽  
Vol 5 ◽  
Author(s):  
FRANCIS BROWN
Keyword(s):  
Lie Algebra ◽  
Modular Forms ◽  
Multiple Zeta Values ◽  
Multiple Zeta ◽  
Zeta Values ◽  
Explicit Formulae ◽  
Tate Curve ◽  
Tate Motives

This paper draws connections between the double shuffle equations and structure of associators; Hain and Matsumoto’s universal mixed elliptic motives; and the Rankin–Selberg method for modular forms for $\text{SL}_{2}(\mathbb{Z})$. We write down explicit formulae for zeta elements $\unicode[STIX]{x1D70E}_{2n-1}$ (generators of the Tannaka Lie algebra of the category of mixed Tate motives over $\mathbb{Z}$) in depths up to four, give applications to the Broadhurst–Kreimer conjecture, and solve the double shuffle equations for multiple zeta values in depths two and three.

Galois structure for abelian p-extensions of Dedekind domains

1999 ◽  
Vol 1999 (517) ◽  
pp. 51-59
Author(s):  
M. Bondarko ◽  
K. F. Lai ◽  
S. V. Vostokov
Keyword(s):  
Galois Structure ◽  
Dedekind Domains

scholarly journals Galois structure of the holomorphic differentials of curves

2020 ◽  
Vol 216 ◽  
pp. 1-68
Author(s):  
Frauke M. Bleher ◽  
Ted Chinburg ◽  
Aristides Kontogeorgis
Keyword(s):  
Galois Structure

Localizations of Grothendieck groups and Galois structure

1999 ◽  
pp. 47-63
Author(s):  
Ted Chinburg ◽  
Boas Erez ◽  
Georgios Pappas ◽  
Martin Taylor
Keyword(s):  
Galois Structure ◽  
Grothendieck Groups
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