Workshop Model Theory of Valued fields
5 - 9 March 2018, IHP, amphitheater Hermite





This workshop is part of the trimester Model Theory, Combinatorics and Valued fields, to be held at the Institut Henri Poincaré, 8 January - 6 April 2018. It will concentrate on the part of the programme having to do with valued fields: Model theory of Henselian valued fields with the valuation topology; Motivic integration; Algebraically closed valued fields, imaginaries, and Berkovich spaces; Valued fields with additional structure; Transseries and surreal numbers; Definable groups.

Scientific Committee

Zoé Chatzidakis (CNRS - ENS), Antoine Ducros (Sorbonne Université), Martin Hils (Münster), Tom Scanlon (UC Berkeley, chair)

This meeting is sponsored by the ASL and the NSF.


Participants     Abstracts     Videos


Programme

Monday, March 5
9am: Registration, coffee
9:30 - 10:20am: Matthias Aschenbrenner (UCLA): Dimension and automorphisms in the differential field of transseries (Slides)
10:20 - 10:50am: Coffee break
10:50 - 11:40am: Jochen Koenigsmann (Oxford): On the decidability of Q_p^{ab}
11:40am - 2pm: Lunch
2 - 2:50pm: Will Johnson (Niantic): Multi-valued algebraically closed fields are NTP2 (Slides)
3 - 3:50pm: Franziska Jahnke (Münster): NIP Henselian fields
3:50 - 4:20pm: Coffee break
4:20 - 5:10: Sylvy Anscombe (UCLAN): A p-adic analogue of Siegel's Theorem on sums of squares

Tuesday March 6
9:30 - 10:20am: Antoine Chambert-Loir (Paris Diderot): Motivic height zeta functions and motivic Euler products
10:20 - 10:50am: Coffee break
10:50 - 11:40am: Jerôme Poineau (Caen): Definability of Berkovich curves
11:40am - 2pm: Lunch
2 - 2:50pm: Bernard Teissier (IMJ-PRG): Zero dimensional valuations on equicharacteristic noetherian local domains
3 - 3:50pm: Franz-Viktor Kuhlmann (Szczecin): Pushing back the barrier of imperfection
3:50 - 4:20pm: Coffee break
4:20 - 5:10pm: Michael Temkin (Hebrew University): Topological transcendence degree
5:10 - 6pm: Poster session
5:30 - 8pm: Reception

Wednesday March 7
9:30 - 10:20am: Ehud Hrushovski (Oxford): Specialization of difference equations in positive characteristic (Slides)
10:20 - 10:50am: Coffee break
10:50 - 11:40am: Françoise Delon (CNRS - Paris 7): C-minimal valued fields
11:50am - 12:40pm: Romain Rioux (Paris): On the axiomatisation of C_p with roots of unity (Slides)

Thursday March 8
9:30 - 10:20am: François Loeser (Sorbonne Université): A non-archimedean Ax-Lindemann theorem (Slides)
10:20 - 10:50am: Coffee break
10:50 - 11:40am: Raf Cluckers (CNRS Lille): Uniform p-adic wave front sets and zero loci of functions of C^{exp}-class
11:40am - 2pm: Lunch
2 - 2:50pm: Julia Gordon (U. British Colombia) : Motivic integration and p-adic reductive groups
3 - 3:50pm: Immanuel Halupczok (Düsseldorf): An analogue of o-minimality for valued fields
3:50 - 4:20pm: Coffee break
4:20 - 5:10pm: Arthur Forey (Sorbonne Université): Virtual rigid motives of definable sets in valued fields

Friday March 9
9:30 - 10:20am: Sam Payne (Yale): Tropical motivic integration
10:20 - 10:50am: Coffee break
10:50 - 11:40am: Matthew Morrow (CNRS - Sorbonne Université): An introduction to perfectoid spaces and the tilting correspondence
11:40am - 2pm: Lunch
2 - 2:50pm: Silvain Rideau (CNRS - Paris Diderot): Toward an imaginary Ax-Kochen-Ershov principle (Slides)
3 - 3:50pm: Florian Pop (U. of Pennsylvania): On definability of valuations of finitely generated fields.
3:50 - 4:30pm: Coffee.


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