The subject of p-adic analytic geometry has been booming in the last years, as regards foundational matters as well as applications. In  particular, the use of fine methods from analytic geometry in the field of p-adic differential equations and D-modules has recently led to significant progress.

The aim of the conference is to bring together mathematicians from various areas around those themes, experts as well as new-comers who would like to incorporate them into their research.

Speakers
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• Tomoyuki Abe (Kavli IPMU, Tokyo)

Arithmetic D-modules and existence of crystalline companion

• Konstantin Ardakov (University of Oxford)

Bounded linear endomorphisms of rigid analytic functions

• Francesco Baldassarri (University of Padova)

Convergence and spectral polygon of connections on Berkovich curves

• Vladimir Berkovich (Weizmann Institute of Science)

de Rham theorem in non-Archimedean analytic geometry

• Velibor Bojkovic (University of Padova)

Pushforwards of p-adic differential equations   (pdf)

• Antoine Chambert-Loir (Université Paris Diderot)

Formes et courants sur les espaces de Berkovich : retour aux sources

• Bruno Chiarellotto (University of Padova)

A non-abelian algebraic criterion for good reduction of curves I — Comparison of relative log de Rham fundamental groups​   (pdf)

• Hélène Esnault (Freie Universität Berlin)

D-modules and p-curvatures

• Valentina Di Proietto (University of Exeter)

A non-abelian algebraic criterion for good reduction of curves II — Computation of the monodromy action​

• Charles Favre (École polytechnique)

Explosion of Lyapunov exponents using non-Archimedean geometry

• Walter Gubler (University of Regensburg)

Differentiability of non-archimedean volumes and non-archimedean Monge-Ampère equations

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• ​Christine Huyghe (Université de Strasbourg)

​​Coadmissible D-modules over the generic fibre of a formal scheme

• Kiran Kedlaya (University of California, San Diego)

Cyclic group actions and p-adic exponents

• Chris Lazda (University of Padova)

A semistable Lefschetz (1; 1) theorem in equicharacteristic   (pdf)

• François Loeser (Université Pierre et Marie Curie)

​Non-archimedean parametrizations, points of bounded height and applications

• Adriano Marmora (Université de Strasbourg)

On the continuity of the finite Bloch-Kato cohomology

• Shun Ohkubo (University of Nagoya)

​On the rationality of the logarithmic growth filtration of solutions of p-adic differential equations

• Ambrus Pal (Imperial College London)

​​Rigid crystals

• Andrea Pulita (Université de Grenoble Alpes)

An Overview on Some Recent Results about p-Adic Differential Equations over Berkovich Curves   (pdf)

• Tobias Schmidt (Université de Rennes 1)

​Arithmetic D-modules and p-adic representations

• Michael Temkin (The Hebrew University of Jerusalem)

​Logarithmic desingularization and semistable reduction

• Simon Wadsley (Homerton College, Cambridge)

​Holonomic D-modules on smooth rigid analytic spaces