Hecke operators as operations in elliptic cohomology

Hecke operators as operations in elliptic cohomology - ScienceDirect

Abstract. We construct stable operations T ̄ n :Ell ∗ ( ) → Ell ( l n ) ∗ ( ) for n> in the version of elliptic cohomology where the coefficient ring Ell∗ ...

HECKE OPERATORS AS OPERATIONS IN ELLIPTIC COHOMOLOGY †. Andrew Baker ‡. Department of Mathematics, Manchester University, Manchester M13 9PL. ABSTRACT We ...

[0706.2898] Hecke operators in equivariant elliptic cohomology and ...

Abstract:This paper studies connections between generalized moonshine and elliptic cohomology with a focus on the action of the Hecke ...

hecke algebras acting on elliptic cohomology - CiteSeerX

where the target is elliptic cohomology with N inverted. These operations satisfy analogues of the usual relations amongst the Hecke operators and this ...

Hecke Operators and the Adams E2-Term Based on Elliptic ...

Finally we use opera- tions in a p-adic version of elliptic cohomology to show that these indeed exhaust. Ext1. §1 Hecke operations and cooperations. In [3] we ...

Hecke Operations and the Adams E2-Term Based on Elliptic ...

Hecke operators are used to investigate part of the E2-term of the Adams spectral sequence based on elliptic homology.

[PDF] HECKE ALGEBRAS ACTING ON ELLIPTIC COHOMOLOGY ...

Introduction. In our earlier papers [2,3,4,5,6], we investigated stable operations and cooperations in elliptic cohomology and its variants, relating these ...

E OPERATO IN ELLIPTIC COHOMOLOGY Andrew BAKER* In the ...

model for elliptic cohomology these operations will have a more geometric defini- ... if the Hecke operators extended to operations. I also wish to thank Francis ...

Operations and Cooperations in Elliptic Cohomology, Part I

Baker, Hecke operators as operations in elliptic cohomology, J. Pure and App. Algebra,. 63 (1990), 1–11. 7. A. Baker, On the homotopy type of the spectrum ...

hecke operations and the adams e2-term based on elliptic ...

Adams spectral sequence, elliptic cohomology, Hecke operators.. The author ... Baker, Hecke operators as operations in elliptic cohomology, J. Pure and ...

(PDF) Hecke operators in equivariant elliptic cohomology and ...

PDF | This paper studies connections between generalized moonshine and elliptic cohomology with a focus on the action of the Hecke correspondence and.

[0706.2898] Hecke operators in equivariant elliptic cohomology and ...

... operations in elliptic cohomology in Section 6.4 below. 1.2. Background on equivariant elliptic cohomology and statement of results. Adams operations were ...

Hecke Operations and the Adams E2-Term Based on Elliptic ...

Keywords: Adams spectral sequence, elliptic cohomology, Hecke operators. c ... , Hecke operators as operations in elliptic cohomology. J. Pure Appl ...

3.3 Hecke Operators - William Stein

Using Magma we see that the homology H1(X0(11), R) is gener- ... In particular, the con- jecture asserts that for any elliptic curve E we have L(E, 1)/ΩE ∈ Q ...

Functoriality of elliptic cohomology and Hecke operators | Math

In particular, we will describe how spectral algebraic geometry leads to a tangible theory of stable operations on elliptic cohomology, and also ...

7.5 Elliptic curves and the Hecke operators - Fiveable

Hecke operators are powerful tools for studying modular forms and elliptic curves. They reveal deep connections between these objects, helping ...

The Hecke algebra action and the Rezk logarithm on Morava E ...

By computing with moduli spaces of elliptic curves, we provide an explicit description for an algebra of Hecke operators acting on. E-cohomology. As an ...

Are there any Hecke operators acting on an elliptic curve with ...

In the theory of modular forms, one Hecke operator at p is singled out, namely Tp, sometimes called Up if p divides N, and defined by the double ...

Hecke operators in equivariant elliptic cohomology and generalized ...

This paper studies connections between generalized moonshine and elliptic cohomology with a focus on the action of the Hecke correspondence and ...

AMS :: Transactions of the American Mathematical Society

Andrew Baker, Hecke operators as operations in elliptic cohomology, J. Pure Appl. Algebra 63 (1990), no. 1, 1–11. MR 1037690, DOI 10.1016/0022-4049(90)90052 ...