# Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

Recall e. In this chapter we recall the relation between intersection homology,constructed using p, i -allowable chains as in [Gre4],an d intersection cohomology, constructed via sheaf theory.

The fight of the devil of Algebra against the angel of Topology (bigger than) in Algebraic Topology

In this chapter we collect some known facts on Hilbert modular forms and varieties, mostly for the purpose of fixing our notation. These concepts will be used in Chapter 7,wh ere we will recall the description of the intersection cohomology of Hilbert modular varieties in terms of Hilbert modular forms.

In this section we begin with the general theory of local systems,aut omorphic vector bundles,a nd automorphy factors.

## London Number Theory Seminar: Previous Talks

After describing the finite-dimensional representation theory of GL 2 we determine the explicit equations relating modular forms and differential forms. In this chapter we use Proposition 6. The goal of this chapter is to prove Theorems 8. Marsden, Michael J. Hoffman W.

Freeman c Introduction to heat potential theory Neil A. Watson American Mathematical Society c Metric and differential geometry : the Jeff Cheeger anniversary volume Xianzhe Dai, Xiaochun Rong, editors Springer c A first course in the numerical analysis of differential equations Arieh Iserles Cambridge University Press c Finite element methods for engineering sciences J. Wiley Pub c C.

## Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

Forsyth, Jean Ponce Pearson c I. D F. A H. D I. D Graham J.

Leuschke, Roger Wiegand. American Mathematical Society.

• Wang : Correspondence of modular forms to cycles associated to ${\rm O}(p,q)$;
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## Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

Xianzhe Dai, Xiaochun Rong, editors. Automorphic vector bundles and local systems -- Chapter 7. The automorphic description of intersection cohomology -- Chapter 8. Explicit construction of cycles -- Chapter The full version of Theorem 1. Proof of Proposition 2.

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Recollections on Orbifolds -- Appendix C. Fourier expansions of Hilbert modular forms -- Appendix E.

Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

## Related Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

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