Regularized theta lifts for orthogonal groups over totally real fields

DOI10.1515/CRELLE.2011.163zbMath1268.11058arXiv0908.3076OpenAlexW2963411363MaRDI QIDQ3145929

Jan Hendrik Bruinier

Publication date: 17 December 2012

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3076

zbMATH Keywords

Green functionsautomorphic formstheta correspondencesWhittaker forms

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Modular correspondences, etc. (11F32)

Related Items (9)

Modularity of special cycles on unitary Shimura varieties over CM-fields ⋮ From sum of two squares to arithmetic Siegel–Weil formulas ⋮ Algebraicity of higher Green functions at a CM point ⋮ On the converse theorem for Borcherds products ⋮ Modular forms. Abstracts from the workshop held December 15--21, 2019 ⋮ A \(p\)-adic approach to the Weil representation of discriminant forms arising from even lattices ⋮ Special values of hypergeometric functions and periods of CM elliptic curves ⋮ Weil representation and arithmetic fundamental lemma ⋮ The construction of Green currents and singular theta lifts for unitary groups

Cites Work

• Unnamed Item
• Unnamed Item
• Eisenstein series for \(\mathrm{SL}(2)\)
• Algebraic cycles on Shimura varieties of orthogonal type
• Cubic surfaces and Borcherds products
• Faltings heights of CM cycles and derivatives of \(L\)-functions
• The theta correspondence and harmonic forms. I
• Heegner points and derivatives of \(L\)-series
• The theta correspondence and harmonic forms. II
• Heegner points and derivatives of \(L\)-series. II
• Automorphic forms with singularities on Grassmannians
• Unimodular lattices over real quadratic fields
• The rationality of vector valued modular forms associated with the Weil representation
• Poincaré series and Hilbert modular forms
• Automorphic Green functions associated with the secondary spherical functions
• On two geometric theta lifts
• Algebras, BPS states, and strings
• The Gross-Kohnen-Zagier theorem in higher dimensions
• Sur la formule de Siegel dans la théorie des groupes classiques
• Sur certains groupes d'opérateurs unitaires
• Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables
• Borcherds products and arithmetic intersection theory on Hilbert modular surfaces
• COHOMOLOGICAL ARITHMETIC CHOW RINGS
• The Gross–Kohnen–Zagier theorem over totally real fields
• AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II

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