Scientific Organisers:

• Nicolai Vorojov, University of Bath

• Alex Wilkie, University of Manchester

• Alexandre Eremenko, Purdue University

The workshop brought together leading international experts, as well as younger researchers, in real analytic geometry, o-minimality, algebraic computational complexity and related areas of topology and model theory. The workshop was dedicated to Professor Andrei Gabrielov for his 60th birthday.

Speakers:

• Leonard Lipshitz, Purdue University - Real Closed Fields with Analytic Structure

• Andre Gabrielov, Purdue University - Dessins d'Enfants for the Eigenfunctions of the Quartic Oscillator

• Thierry Zell, Vassar College - Around the Descent Spectral Sequence

• Jean-Philippe Rolin, Université de Bourgogne - An O-Minimal Structure which Does not Admit C-Infinite Cellular Decomposition

• Dmitry Novikov, Weizmann Institute of Science - Pseudoabelian Integrals: Toward an Analogue of Varchenko-Khovanskii Theorem

• Vincent Grandjean, University of Bath & Universität Oldenburg - Geodesics at Singular Points of Non-Conical Isolated Surface Singularities

• Frank Sottile, Texas A&M University - Fewnomial Bounds from Gale Dual Systems

• Frederic Bihan, Université de Savoie - Bounds on the Topology of Fewnomial Hypersurfaces

• Bernd Martin, Brandenburgische Technische Universität - Modular Strata of Unimodal Singularities are Corresponding to Milnor Algebras

• Victor Palamodov, Tel Aviv University & Potsdam University - Moduli of Hypersurface Germs

• Askold Khovanskii, University of Toronto - Degree or Rational Mappings and Simple Proofs of the Sturm and Tarski Theorems

• Krysztof Kurdyka, Université Savoie - Trajectories of Horizontal Gradients of Polynomials

• Adam Parusinski, University of Angers - Equivalence Relations of Two Variable Real Analytic Function Germs

• Gareth Jones, McMaster University - Model Completeness Results for Polynomially Bounded O-Minimal Structures

• Patrick Speissegger, McMaster University - Transition Maps of Non-Resonant Hyperbolic Singularities are O-Minimal

• Edward Bierstone, University of Toronto - Problems on Resolution of Singularities

• Angus Macintyre, University of London - Elementary Theory of Elliptic Functions
  

• David Trotman, University of Provence - Valette's Generic Definable Bilipschitz Equisingularity

• Viacheslav Kharlamov, Université Louis Pasteur - Real Cubic Four-Folds; Deformations and Chirality

• Ilia Itenberg, Université Louis Pasteur - Recursive Formulas for Welschinger Invariants

• Saugata Basu, Georgia Institute of Technology - Combinatorial Complexity in O-Minimal Geometry