Wall-crossing and $p$-adic Artin formalism for ${\rm GSp}_4 \times {\rm GL}_2 \times {\rm GL}_2$
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908558387314688 |
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| author | Büyükboduk, Kâzım Rivero, Óscar Sakamoto, Ryotaro |
| author_facet | Büyükboduk, Kâzım Rivero, Óscar Sakamoto, Ryotaro |
| contents | The goal of this article is to develop a $p$-adic Artin formalism in the context of $p$-adic families of automorphic forms on ${\rm GSp}_4 \times {\rm GL}_2 \times {\rm GL}_2$. Our treatment is guided by the (double) wall-crossing principle, emphasising an interplay between arithmetic GGP and $p$-adic explicit GGP formulae. Although the picture we present remains largely conjectural, we provide evidence in favour of our conjectures (a) in terms of algebraic $p$-adic $L$-functions, and (b) in endoscopic scenarios. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20887 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wall-crossing and $p$-adic Artin formalism for ${\rm GSp}_4 \times {\rm GL}_2 \times {\rm GL}_2$ Büyükboduk, Kâzım Rivero, Óscar Sakamoto, Ryotaro Number Theory 1R23, 11F85, 14G35 The goal of this article is to develop a $p$-adic Artin formalism in the context of $p$-adic families of automorphic forms on ${\rm GSp}_4 \times {\rm GL}_2 \times {\rm GL}_2$. Our treatment is guided by the (double) wall-crossing principle, emphasising an interplay between arithmetic GGP and $p$-adic explicit GGP formulae. Although the picture we present remains largely conjectural, we provide evidence in favour of our conjectures (a) in terms of algebraic $p$-adic $L$-functions, and (b) in endoscopic scenarios. |
| title | Wall-crossing and $p$-adic Artin formalism for ${\rm GSp}_4 \times {\rm GL}_2 \times {\rm GL}_2$ |
| topic | Number Theory 1R23, 11F85, 14G35 |
| url | https://arxiv.org/abs/2509.20887 |