On combinatorics of the Arthur trace formula, convex polytopes, and toric varieties

DOI10.4153/S0008414X22000013MaRDI QIDQ5883694

Mahdi Asgari, Kiumars Kaveh

Publication date: 22 March 2023

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.16837

zbMATH Keywords

toric varietiesconvex polytopesArthur trace formulacombinatorial truncation

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

• On the continuity of the geometric side of the trace formula
• On the spectral side of Arthur's trace formula -- absolute convergence
• On the spectral side of Arthur's trace formula -- combinatorial setup
• Toroidal embeddings. I
• Formulas of Brion, Lawrence, and Varchenko on rational generating functions for cones.
• Geometric estimates for the trace formula
• The trace formula in invariant form
• A trace formula for reductive groups. I: Terms associated to classes in G(Q)
• Correction to: ``Discrete series characters and the Lefschetz formula for Hecke operators
• Introduction to Toric Varieties. (AM-131)
• Polytope Volume Computation
• Weighted Brianchon-Gram Decomposition
• Points entiers dans les polyèdres convexes
• Valuations and Euler-Type Relations on Certain Classes of Convex Polytopes
• Residue formulae, vector partition functions and lattice points in rational polytopes
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