Arithmetic Transfer for inner forms of $GL_{2n}$

Abstract We formulate Guo–Jacquet type fundamental lemma conjectures and arithmetic transfer conjectures for inner forms of $GL_{2n}$ . Our main results confirm these conjectures for division algebras of invariant $1/4$ and $3/4$ .

Authors

Publication Details

Journal
Forum of Mathematics Sigma
Published
2025-01-01
DOI
https://doi.org/10.1017/fms.2025.10034
Citations
1
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
3.69
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article

Arithmetic Transfer for inner forms of $GL_{2n}$

Andreas Mihatsch, Qi-Rui Li
1 citations
Forum of Mathematics Sigma
Advanced Algebra and Geometry
3.69
article

Arithmetic Transfer for inner forms of $GL_{2n}$

Andreas Mihatsch, Qi-Rui Li
article en
1 citations

Abstract

Abstract We formulate Guo–Jacquet type fundamental lemma conjectures and arithmetic transfer conjectures for inner forms of $GL_{2n}$ . Our main results confirm these conjectures for division algebras of invariant $1/4$ and $3/4$ .

Forum of Mathematics SigmaVol. 13
Openalex Percentile: Top 8%
Advanced Algebra and Geometry
3.69
DOIOpen Access PDFOpenAlex
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Arithmetic Transfer for inner forms of $GL_{2n}$ — Andreas Mihatsch, Qi-Rui Li · Forum of Mathematics Sigma (2025) | TGRS Research Map | TGRS