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Multi-valued algebraically closed fields are NTP₂
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Classroom Contents
Model Theory, Combinatorics and Valued Fields
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- 1 Presentation of the T1 2018 : Model theory, combinatorics and valued fields
- 2 First order rigidity of high-rank arithmetic groups
- 3 Model-theoretic distality and incidence combinatorics
- 4 Let's talk about multiple crossings
- 5 Pseudo-finite dimensions, modularity, and generalisations of Elekes–Szabo
- 6 New Developments in Hypergraph Ramsey Theory
- 7 The Algebraic Revolution in Combinatorial and Computational Geometry: State of the Art
- 8 Absolute notions in model theory
- 9 Modeling limits
- 10 Automorphism groups and Ramsey properties of sparse graphs
- 11 Rank Bounds for Design Matrices and Applications
- 12 On finite dimensional omega-categorical structures and NIP theories
- 13 Ramsey classes and sparsity for finite models
- 14 More designs
- 15 Using nonstandard natural numbers in Ramsey Theory
- 16 A stable arithmetic regularity lemma in finite-dimensional vector spaces over fields of prime order
- 17 Stable and NIP regularity in groups
- 18 Metrizable universal minimal flows and Ramsey theory
- 19 A quantitative inverse theorem for the U⁴ norm over finite fields
- 20 Quantitative bounds on the topology of semi-algebraic and definable sets
- 21 Ramsey theorems for classes of structures with functions and relations
- 22 Dimension and automorphisms in the differential field of transseries
- 23 On the decidability of ℚªᵇ_p
- 24 Multi-valued algebraically closed fields are NTP₂
- 25 NIP Henselian fields
- 26 Motivic height zeta functions and motivic Euler products
- 27 Definability of Berkovich curves
- 28 Zero dimensional valuations on equicharacteristic noetherian local domains
- 29 Pushing back the barrier of imperfection
- 30 Topological transcendence degree
- 31 Specialization of difference equations in positive characteristic
- 32 C-minimal valued fields
- 33 A non-archimedean Ax-Lindemann theorem
- 34 Uniform p-adic wave front sets and zero loci of functions of C exp-class
- 35 An analogue of o-minimality for valued fields
- 36 Virtual rigid motives of definable sets in valued fields
- 37 Tropical motivic integration
- 38 An introduction to perfectoid spaces and the tilting correspondence
- 39 Toward an imaginary Ax-Kochen-Ershov principle
- 40 On definability of valuations of finitely generated fields
- 41 Motivic integration and p-adic reductive groups
- 42 On the axiomatisation of C_p with roots of unity
- 43 A tour of globally valued fields
- 44 Structure from density
- 45 On groups definable in geometric fields
- 46 Boundedness and absoluteness of some dynamical invariants in model theory
- 47 Strongly minimal groups in o-minimal structures
- 48 Ax-Schanuel for Shimura varieties
- 49 Disintegrated differential equations and mixing Anosov flows
- 50 Abraham Robinson’s legacy in model theory and its applications
- 51 On local interdefinability of analytic functions
- 52 Definable equivariant retractions onto skeleta in non-archimedean geometry
- 53 D-varieties and the Dixmier-Moeglin equivalence
- 54 Nonarchimedean integrals as limits of complex integrals
- 55 p-adic Integration along the Hitchin Fibration and Applications
- 56 Model Theory of Fields with Virtually Free Group Action
- 57 Towards Strong Minimality and the Fuchsian Triangle Groups
- 58 Definably simple groups in valued fields
- 59 Ampleness in strongly minimal structures
- 60 On PC-exact saturation
