Congruences between modular forms given by the divided \(\beta \) family in homotopy theory

DOI10.2140/gt.2009.13.319zbMath1205.55012arXiv0804.0363OpenAlexW2123447082MaRDI QIDQ1006128

Mark J. Behrens

Publication date: 19 March 2009

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0363

zbMATH Keywords

Eisenstein seriesmodular formselliptic cohomologycongruences for modular formstopological modular formsAdams-Novikov spectral sequencechromatic spectral sequenceGreek letter elements

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Elliptic cohomology (55N34) Stable homotopy of spheres (55Q45) (v_n)-periodicity (55Q51)

Related Items

Detecting 𝛽 elements in iterated algebraic K-theory ⋮ ON THE DOUBLE TRANSFER AND THE f-INVARIANT ⋮ The realizability of operations on homotopy groups concentrated in two degrees ⋮ The homotopy groups of \(S_{E(2)}\) at \(p\geq 5\) revisited ⋮ Topological automorphic forms on \(U(1,1)\) ⋮ Toda brackets and congruences of modular forms ⋮ Explicit modular forms from the divided beta family ⋮ The Adams-Novikov \(E_2\)-term for Behrens' spectrum \(Q(2)\) at the prime 3 ⋮ Analogs of Dirichlet \(L\)-functions in chromatic homotopy theory

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