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I would like to know if there is a state of the art recent reference on non-archimedean analytic spaces mentioning/listing open problems, conjectures, unresolved questions in the theory (*). I have looked for such a reference a bit, but didn't find anything. In cascase there is really nothing, I would be glad if experts in the field present here could enlightenlighten me.

(*) By "theory" I mean "mainstream" theory over a non-archimedean complete valued field (trivial valuations are accepted), including cohomological questions concerning the spaces themselves, but also theory over Banach rings, as mentioned in Berkovich's AMS monogograph.

I must precise that even if dynamics and potential theory do perfectly fit for an answer, they are not my first target of interest, I am indeed looking for open problems, conjectures, unresolved or partially resolved questions that are more linked to Berkovich's or Temkin's works, that is, to works developpingdeveloping the theory or its links with schemes and formal schemes, cohomology, vanishing cycles.

  

I would like to know if there is a state of the art recent reference on non-archimedean analytic spaces mentioning/listing open problems, conjectures, unresolved questions in the theory (*). I have looked for such a reference a bit, but didn't find anything. In cas there is really nothing, I would be glad if experts in the field present here could enlight me.

(*) By "theory" I mean "mainstream" theory over a non-archimedean complete valued field (trivial valuations are accepted), including cohomological questions concerning the spaces themselves, but also theory over Banach rings, as mentioned in Berkovich's AMS monogograph.

I must precise that even if dynamics and potential theory do perfectly fit for an answer, they are not my first target of interest, I am indeed looking for open problems, conjectures, unresolved or partially resolved questions that are more linked to Berkovich's or Temkin's works, that is, to works developping the theory or its links with schemes and formal schemes, cohomology, vanishing cycles.

 

I would like to know if there is a state of the art recent reference on non-archimedean analytic spaces mentioning/listing open problems, conjectures, unresolved questions in the theory (*). I have looked for such a reference a bit, but didn't find anything. In case there is really nothing, I would be glad if experts in the field present here could enlighten me.

(*) By "theory" I mean "mainstream" theory over a non-archimedean complete valued field (trivial valuations are accepted), including cohomological questions concerning the spaces themselves, but also theory over Banach rings, as mentioned in Berkovich's AMS monogograph.

I must precise that even if dynamics and potential theory do perfectly fit for an answer, they are not my first target of interest, I am indeed looking for open problems, conjectures, unresolved or partially resolved questions that are more linked to Berkovich's or Temkin's works, that is, to works developing the theory or its links with schemes and formal schemes, cohomology, vanishing cycles.

 
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Olórin
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I would like to know if there is a state of the art recent reference on non-archimedean analytic spaces mentioning/listing open problems, conjectures, unresolved questions in the theory (*). I have looked for such a reference a bit, but didn't find anything. In cas there is really nothing, I would be glad if experts in the field present here could enlight me.

(*) By "theory" I mean "mainstream" theory over a non-archimedean complete valued field (trivial valuations are accepted), including cohomological questions concerning the spaces themselves, but also theory over Banach rings, as mentioned in Berkovich's AMS monogograph.

I must precise that even if dynamics, trees and potential theory do perfectly fit for an answer, they are not my first target of interest, I am indeed looking for open problems, conjectures, unresolved or partially resolved questions that are more linked to Berkovich's or Temkin's works, that is, to works developping the theory or its links with schemes and formal schemes, cohomology, vanishing cycles.

I would like to know if there is a state of the art recent reference on non-archimedean analytic spaces mentioning/listing open problems, conjectures, unresolved questions in the theory (*). I have looked for such a reference a bit, but didn't find anything. In cas there is really nothing, I would be glad if experts in the field present here could enlight me.

(*) By "theory" I mean "mainstream" theory over a non-archimedean complete valued field (trivial valuations are accepted), including cohomological questions concerning the spaces themselves, but also theory over Banach rings, as mentioned in Berkovich's AMS monogograph.

I must precise that even if dynamics, trees and potential theory do perfectly fit for an answer, they are not my first target of interest, I am indeed looking for open problems, conjectures, unresolved or partially resolved questions that are more linked to Berkovich's or Temkin's works, that is, to works developping the theory or its links with schemes and formal schemes, cohomology, vanishing cycles.

I would like to know if there is a state of the art recent reference on non-archimedean analytic spaces mentioning/listing open problems, conjectures, unresolved questions in the theory (*). I have looked for such a reference a bit, but didn't find anything. In cas there is really nothing, I would be glad if experts in the field present here could enlight me.

(*) By "theory" I mean "mainstream" theory over a non-archimedean complete valued field (trivial valuations are accepted), including cohomological questions concerning the spaces themselves, but also theory over Banach rings, as mentioned in Berkovich's AMS monogograph.

I must precise that even if dynamics and potential theory do perfectly fit for an answer, they are not my first target of interest, I am indeed looking for open problems, conjectures, unresolved or partially resolved questions that are more linked to Berkovich's or Temkin's works, that is, to works developping the theory or its links with schemes and formal schemes, cohomology, vanishing cycles.

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Olórin
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I would like to know if there is a state of the art recent reference on non-archimedean analytic spaces mentioning/listing open problems, conjectures, unresolved questions in the theory (*). I have looked for such a reference a bit, but didn't find anything. In cas there is really nothing, I would be glad if experts in the field present here could enlight me.

(*) By "theory" I mean "mainstream" theory over a non-archimedean complete valued field (trivial valuations are accepted), including cohomological questions concerning the spaces themselves, but also theory over Banach rings, as mentioned in Berkovich's AMS monogograph.

I must precise that even if dynamics, trees and potential theory do perfectly fit for an answer, they are not my first target of interest, I am indeed looking for open problems, conjectures, unresolved or partially resolved questions that are more linked to Berkovich's or Temkin's works, that is, to works developping the theory or its links with schemes and formal schemes, cohomology, vanishing cycles.

I would like to know if there is a state of the art recent reference on non-archimedean analytic spaces mentioning/listing open problems, conjectures, unresolved questions in the theory (*). I have looked for such a reference a bit, but didn't find anything. In cas there is really nothing, I would be glad if experts in the field present here could enlight me.

(*) By "theory" I mean "mainstream" theory over a non-archimedean complete valued field (trivial valuations are accepted), including cohomological questions concerning the spaces themselves, but also theory over Banach rings, as mentioned in Berkovich's AMS monogograph.

I would like to know if there is a state of the art recent reference on non-archimedean analytic spaces mentioning/listing open problems, conjectures, unresolved questions in the theory (*). I have looked for such a reference a bit, but didn't find anything. In cas there is really nothing, I would be glad if experts in the field present here could enlight me.

(*) By "theory" I mean "mainstream" theory over a non-archimedean complete valued field (trivial valuations are accepted), including cohomological questions concerning the spaces themselves, but also theory over Banach rings, as mentioned in Berkovich's AMS monogograph.

I must precise that even if dynamics, trees and potential theory do perfectly fit for an answer, they are not my first target of interest, I am indeed looking for open problems, conjectures, unresolved or partially resolved questions that are more linked to Berkovich's or Temkin's works, that is, to works developping the theory or its links with schemes and formal schemes, cohomology, vanishing cycles.

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