SUR LE COMPTAGE DES FIBRÉS DE HITCHIN NILPOTENTS

DOI10.1017/S1474748014000292zbMath1401.14059arXiv1307.7273OpenAlexW1971905839MaRDI QIDQ3460406

Pierre-Henri Chaudouard, Gérard Laumon

Publication date: 7 January 2016

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7273

zbMATH Keywords

Hitchin fibrationnilpotent coneArthur-Selberg trace formula

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (8)

On the continuity of the geometric side of the trace formula ⋮ Intersection cohomology of character varieties for punctured Riemann surfaces ⋮ Zeta Functions for the Adjoint Action of GL(n) and Density of Residues of Dedekind Zeta Functions ⋮ On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2 ⋮ BPS states, torus links and wild character varieties ⋮ On the unipotent contribution in Arthur's trace formula for general linear groups ⋮ Character varieties with Zariski closures of \(\mathrm{GL}_n\)-conjugacy classes at punctures ⋮ Counting Higgs bundles and type quiver bundles

Cites Work

• Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.
• The trace formula in invariant form
• A trace formula for reductive groups. I: Terms associated to classes in G(Q)
• A local trace formula
• Minkowskische Reduktionstheorie über Funktionenkörpern
• Moduli Space of Semistable Pairs on a Curve
• A measure on the Unipotent Variety
• Induced Unipotent Classes

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