100RSME

Segovia /

El Escorial

(Spain)

18th - 29th July 2011



poster
download poster
low resolution (5.5M)
high resolution (9.7M)

 

Programme

Donwload all the abstracts here

Planned courses:
  • Antoine Ducros. Berkovich spaces.
  • Charles Favre. Riemann-Zariski spaces.
  • Martin Hils. Introduction to model theory.
  • Ehud Hrushovski. Constructible sets over valued fields.
  • Franz-Viktor Kuhlmann. Ramification, valuation and implicit functions.
  • Hussein Mourtada. Arc spaces and valuations.
  • Sam Payne. Berkovich and tropical.
  • Ana Reguera. Arc spaces and resolution.
  • Thomas Scanlon. Introduction to Motivic Integration.
  • Joris van der Hoeven. Transseries.

Schedule of the first week. Segovia.

Monday july 18th.
  • 9:15 - 10:00. REGISTRATION.
  • 10:00 - 11:30. DUCROS. Introduction to Berkovich analytic spaces.
  • 11:30 - 12:00. COFFEE
  • 12:00 - 13:00. BERKOVICH. F1-geometry
  • 13:00 - 15:20. LUNCH
  • 15:20 - 16:50. REGUERA. Arc spaces and resolutions.
  • 16:50 - 17:15. COFFEE
  • 17:15 - 18:45. KUHLMANN. Ramification.
Tuesday july 19th.
  • 9:15 - 10:45. FAVRE. Riemann-Zariski spaces.
  • 10:45 - 11:10 COFFEE
  • 11:10 - 12:40 REGUERA. Arc spaces and resolutions.
  • 12:40 - 13:20 SARUSSI. Quasi-valuations extending a valuation.
  • 13:20 - 15:20. LUNCH
  • 15:20 - 16:50. DUCROS. Introduction to Berkovich analytic spaces.
  • 16:50 - 17:15. COFFEE
  • 17:15 - 18:45. HILS. Introduction to model theory.
Wednesday july 20th.
  • 9:15 - 10:45. FAVRE. Riemann-Zariski spaces.
  • 10:45 - 11:10 COFFEE
  • 11:10 - 12:40 HILS. Introduction to model theory.
  • 12:40 - 13:20 CHERNIKOV. Model-theoretic weight in some valued fields.
  • 13:20 - 15:20. LUNCH
  • 15:20 - 16:50. SCANLON. Introduction to Motivic Integration.
  • 16:50 - 17:15. COFFEE
  • 17:15 - 18:45. PILTANT. Relative Local Uniformization in Function Fields.
Thursday july 21st.
  • 9:15 - 10:45. MOURTADA. Arc spaces and valuations.
  • 10:45 - 11:15 COFFEE
  • 11:15 - 12:15 GUSEIN-ZADE. On equivariant versions of Poincaré series of filtrations and monodromy zeta functions.
  • 12:15 - 13:00 PERUGINELLI. Good reduction for endomorphisms of the projective line.
  • 13:00 - 15:20. LUNCH
  • 15:20 - 16:50. SCANLON. Introduction to Motivic Integration.
  • 16:50 - 17:15. COFFEE
  • 17:15 - 18:45. VAN DER HOEVEN. Transserial Hardy fields.
Friday july 22nd.
  • 9:15 - 10:45. MOURTADA. Arc spaces and valuations.
  • 10:45 - 11:10 COFFEE
  • 11:10 - 11:55 FABRI. Domains having a unique Kronecker function ring.
  • 11:55 - 12:40 FINOCCHIARO. The ultrafilter topology on spaces of valuation domains and applications.
  • 12:40 - 13:20 YUROVA. Ergodicity of the dynamical systems on 2-adic spheres.
  • 13:20 - 15:20. LUNCH
  • 15:20 - 16:50. F. V. KUHLMANN. Ultrametrics and Implicit Function Theorems.
  • 16:50 - 17:15. COFFEE
  • 17:15 - 18:45. VAN DER HOEVEN. Transserial Hardy fields.

Saturday 23th. An excursion is planned, starting from Segovia and ending at El Escorial.


Schedule of the second week. El Escorial.

Sunday july 24th.
  • 9:30 - 11:00. HRUSHOVSKI. Constructible sets over valued fields.
  • 11:00 - 11:30 COFFEE
  • 11:30 - 12:30 KNEBUSCH. Spaces of valuations.
  • 12:30 - 13:30 GONDARD. On R-places and related topics.
  • 13:30 - 15:30. LUNCH
  • 15:30 - 16:30. HARBATER. Patching and local-global principles.
  • 16:30 - 17:00. COFFEE
  • 17:00 - 18:00. K. KUHLMANN. Spaces of R-places.
  • 18:00 - 19:00. PAL. Multiplicative Valued Difference Fields.
  • 19:15 - 20:00. ESTEROV. Corner loci of piecewise polynomials, and polynomially weighted tropical varieties.
Monday july 25th.
  • 9:30 - 11:00. HRUSHOVSKI. A model theoretic view of non-archimedean topology.
  • 11:00 - 11:30 COFFEE
  • 11:30 - 12:30 CLUCKERS. On transfer principles for motivic exponential integrals.
  • 12:30 - 13:30 BUIUM. Differential calculus with integers.
  • 13:30 - 15:30. LUNCH
  • 15:30 - 16:30. POP. Large Fields: Old and New.
  • 16:30 - 17:00. COFFEE
  • 17:00 - 18:00. VAQUIE. Extension of valuation.
  • 18:00 - 19:30. PAYNE. Nonarchimedean geometry, tropicalization, and metrics on curves.
  • 19:30 - 20:15. FEHM. Hilbertian fields and families of valuations.
Tuesday july 26th.
  • 9:30 - 10:30. ARTAL. Pencils, dicriticals and curvettes.
  • 10:30 - 11:30 MONTSERRAT. Algebraic foliations and dicritical valuations.
  • 11:30 - 12:00 COFFEE
  • 12:00 - 13:00 ABHYANKAR. Dicritical divisors of pencils.
  • 13:00 - 13:45 COSSART. Dicritical divisors (after S. Abhyankar and I. Luengo).
  • 13:45 - 15:30. LUNCH
  • FREE AFTERNOON
Wednesday july 27th.
  • 9:30 - 10:30. CUTKOSKY. Semigroups of valuations dominating a Noetherian local ring.
  • 10:30-11:30 SPIVAKOVSKY. Key polynomials, generalized Puiseux series and applications to local uniformization in arbitrary characteristic.
  • 11:30-12:00 COFFEE
  • 12:00-13:00 OLALLA. Extending a valuation centered in a local domain to the formal completion.
  • 13:00-14:00 TEMKIN. Inseparable local uniformization.
  • 14:00 - 16:00. LUNCH
  • 16:00 - 17:00. VIRO. Valuations with complex values.
  • 17:00 - 17:30. COFFEE
  • 17:30 - 18:30. AZGIN. Extremal Valued Fields.
  • 18:30 - 19:30. ZHUKOV. Approaches to ramification theory in the imperfect residue field case.
  • 19:45 - 20:30. KHANDUJA. Some generalizations of Eisenstein-Schönemann Irreducibility Criterion.
Thursday july 28th.
  • 9:30 - 10:30. MATUSINSKI. Hardy type derivations on generalized series fields.
  • 10:30-11:30 YIN. Integration in certain o-minimal fields.
  • 11:30-12:00 COFFEE
  • 12:00-13:00 FERNANDEZ DE BOBADILLA. Nash problem for surfaces.
  • 13:00-14:00 HALUPCZOK. Whitney stratifications in valued fields.
  • 14:00 - 16:00. LUNCH
  • 16:00 - 16:45. GRANJA. Real valuations on skew polynomial rings.
  • 16:45 - 17:45. CAMPILLO. Valuations, multiindex filtrations and topology.
  • 17:30 - - - - . CLOSING COFFEE