Hecke operators as operations in elliptic cohomology
elliptic cohomology and quantum field theory - Dan Berwick-Evans
This flavor of loop space index theory remains out of reach without a solid handle on the geometry of field theories in (1). In algebra, lattice vertex operator ...
Jack Davies - Derived Hecke operators - YouTube
Modular forms: Hecke operators. Richard E Borcherds•7K views · 1 ... Jack Davies - Equivariant elliptic cohomology. Young-HOM•149 views · 17 ...
Lecture 16: Structure of the Hecke algebra
In particular, we show that the Hecke algebra $\bT$ is a finite rank free $\bZ$-algebra and that $\bT \otimes \bQ$ is semi-simple. We also show that the space ...
Hecke operators as operations in elliptic cohomology · Computation of the homotopy of the spectrum tmf ; Andrew J. Baker · Tilman Bauer.
Computing Hecke operators on Bianchi forms
The original manuscript was prepared with the AMS-LATEX macro system. 1. Page 2. 2. DAN YASAKI. 1.2. Cohomology. ... Dembélé, An algorithm for modular elliptic ...
Elliptic cohomology - Wikipedia
In mathematics, elliptic cohomology is a cohomology theory in the sense of algebraic topology. It is related to elliptic curves and modular forms.
Nora Ganter, Hecke operators in equivariant elliptic cohomology and generalized moonshine, arxiv/0706.2898 · Nora Ganter, Matthew Ando, C.
Interactions of Elliptic Cohomology with Other Subjects - Nora Ganter
Power operations in elliptic cohomology were already linked to product formulas in string theory and to the twisted Hecke operators of generalized Moonshine.
Forms ofK-theory | Mathematische Zeitschrift - SpringerLink
Supplementary References · Baker, A.: Hecke operators as operations in elliptic cohomology. · Baker, A.: On the homotopy type of the spectrum representing ...
Abstracts - Mathematical Institute of the University of Bonn
We will define stable Adams operations on tmf inspired by K-theory, and stable Hecke operators inspired by the classical study of Hecke ...
An elliptic analogue of a theorem of Hecke - EurekaMag
... Hecke Journal of Number Theory 1(2): 235-251 · Baker, A. 1990: Hecke operators as operations in elliptic cohomology Journal of Pure and Applied Algebra 63(1): 1 ...
Elliptic cohomology and chromatic chenomena & higher chromatic ...
Elliptic cohomology and chromatic chenomena & higher chromatic phenomena ... Hecke operators and logarithmic cohomology operations. Room 1. 16:30 to 17:30.
Comparison theorems for torus-equivariant elliptic cohomology ...
... elliptic cohomology theory associated to an elliptic ... Power operations in elliptic cohomology and representations of loop groups ... Hecke operators in ...
Operations in Complex- Oriented Cohomology Theories ... - CORE
We adapt our machinery to elliptic cohomology, and produce both the Adams operation and versions of the Hecke operators of Baker as power.
Elliptic classes via the periodic Hecke module and its Langlands dual
... elliptic cohomology and its dual. Additionally, we introduce the elliptic twisted group algebra, which acts on the periodic module. The construction of the ...
The recursive operator above can be studied in the framework of Hecke algebras, in particular we present a version of a Hecke algebra acting on the elliptic ...
geometric representations of the formal affine hecke algebra
Examples of oriented cohomology theories include the Chow ring CH∗ (see. [Ful98]), the K-theory, the elliptic cohomologies, and the algebraic cobordism theory Ω ...
Journal articles: 'Hecke operators' - Grafiati
AbstractHecke operators are used to investigate part of the E2-term of the Adams spectral sequence based on elliptic homology. The main result ...
On the Construction of Elliptic Cohomology - Franke - 1992
References · [Ada74] J. F. · [Bak90] Andrew Baker, Hecke operators as operations in elliptic cohomology. · [DR73] P. · [Elk90] R. · [Hir88] Friedrich Hirzebruch, ...
dirac cohomology for graded affine hecke algebras
Our Dirac operator acts on an H module X tensored with a space of spinors for an appropriate Clifford algebra. Motivated by the study of the index of the.