Adams-Novikov spectral sequenceAdams spectral sequenceStable homotopy groupWe analyze the C -motivic (and classical) Adams-Novikov spectral sequence for the C -motivic modular forms spectrum mmf (and for the classical topological modular forms spectrum tmf). We primarily use purely algebraic ...
摘要: A C-motivic modular forms spectrum mmf has recently been constructed. This article presents detailed computational information on the Adams spectral sequence for mmf. This information is essential for computing with the C-motivic and classical Adams spectral sequences that compute the C-motivi...
Iwasawa theory and motivic L-functions A survey by Mitchell from the Handbook of K-theory, on Iwasawa theory and homotopy theory. (See also an interesting blog post of Eric Peterson here, for some possible connections with chromatic homotopy theory) For noncommutative Iwasawa theory, here are so...
B. Enriques and P. Lochak, `Homology of depth-graded motivic Lie algebras and koszulity', Preprint, 2014, arXiv:1407.4060.B. Enriquez, P. Lochak, Homology of depth-graded motivic Lie algebras and koszulity, arXiv: 1407. 4060.
The KKV formula and the Pairs/Noether-Lefschetz correspondence together determine the BPS counts of K 3-fibered Calabi-Yau 3-folds in fiber classes in terms of modular forms. We propose a framework for a refined P/NL correspondence for the motivic invariants of K 3-fibered CY 3-folds. ...
On p -adic Interpolation of Motivic Eisenstein Classesdoi:10.1007/978-3-319-45032-2_10Guido KingsSpringer, ChamElliptic Curves, Modular Forms and Iwasawa Theory - Conference in honour of the 70th birthday of John Coates
The KKV formula and the Pairs/Noether-Lefschetz correspondence together determine the BPS counts of K3-fibered Calabi-Yau 3-folds in fiber classes in terms of modular forms. We propose a framework for a refined P/NL correspondence for the motivic invariants of K3-fibered CY 3-folds. For ...
Enriquez, BenjaminUniv StrasbourgLochak, PierreUniv StrasbourgCellule MathDoc/CEDRAMjournal de theorie des nombres de bordeauxB. Enriquez, P. Lochak: Homology of depth-graded motivic Lie algebras and koszulity, J. Th´eor. Nombres Bordeaux 28 (2016), no. 3, 829-850....