Some Hodge theory from Lie algebras

2003/12/08 by Constantin Teleman, Teleman, Constantin · 1 citation
Mathematics · #17B56 #17B67 (primary) #22E67 (secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.AG #math.RT #msc:17B56 #msc:17B67 #msc:22E67

paper · pdf · doi:10.48550/arxiv.math/0312156

Presented at the 1998 Irvine conference on Motives, Polylogarithms and Hodge theory. Posted as it is not widely available

arxiv created 2003/12/08 · openalex publication_date 2003/12/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss Hodge-theoretic aspects, related to the loop Grassmannian, of the strong Macdonald conjecture (whose proof is joint work with Fishel and Grojnowski).

Cited by

• On Cachazo-Douglas-Seiberg-Witten conjecture for simple Lie algebras

Related

• The strong Macdonald conjecture and Hodge theory on the Loop Grassmannian
• A note on the Hodge conjecture
• Notes on the Hodge Conjecture for Fermat Varieties
• Known cases of the Hodge conjecture
• Hodge loci and absolute Hodge classes