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Supersingular \(p\)-adic \(L\)-functions, Maass-Shimura operators and Waldspurger formulas. (English) Zbl 07505016

Annals of Mathematics Studies 212. Princeton, NJ: Princeton University Press (ISBN 978-0-691-21647-8/hbk; 978-0-691-21646-1/pbk; 978-0-691-22573-9/ebook). 280 p. (2021).
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Two recent \(p\)-adic approaches towards the (effective) Mordell conjecture. (English) Zbl 07446467

Charollois, Pierre (ed.) et al., Arithmetic L-functions and differential geometric methods. Regulators IV, May 2016, Paris. Cham: Birkhäuser. Prog. Math. 338, 31-74 (2021).
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Langlands reciprocity for \(C^\ast \)-algebras. (English) Zbl 1469.11147

Bastos, M. Amélia (ed.) et al., Operator theory, functional analysis and applications. Proceedings of the 30th international workshop on operator theory and its applications, IWOTA 2019, Lisbon, Portugal, July 22–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 282, 515-528 (2021).
MSC:  11F70 46L85 11G18
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Mixed arithmetic theta lifting for unitary groups. (English) Zbl 07390075

Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 329-350 (2021).
Reviewer: Lei Yang (Beijing)
MSC:  11G18 11G40 14G40
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Shimura varieties for unitary groups and the doubling method. (English) Zbl 1475.11125

Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 217-251 (2021).
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Incoherent definite spaces and Shimura varieties. (English) Zbl 1475.11124

Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 187-215 (2021).
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Subcovers of curves and moduli spaces. (English) Zbl 1464.14028

Comparin, Paola (ed.) et al., Geometry at the frontier. Symmetries and moduli spaces of algebraic varieties. 2016–2018 workshops, Universidad de la Frontera, Pucón, Chile, November 2016, November 2017, November 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 766, 229-250 (2021).
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Periods of quaternionic Shimura varieties. I. (English) Zbl 1479.11001

Contemporary Mathematics 762. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4894-3/pbk; 978-1-4704-6418-9/ebook). vi, 214 p. (2021).
Reviewer: Lei Yang (Beijing)
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