CMAF-CIO, FCUL, SALA 6.2.33, UNIVERSIDADE DE LISBOA,
JANUARY 26 - 31, 2018
Organized by: Herwig Hauser
Numerous exciting results circle around the quality of specific power series:
formal, convergent, algebraic, Gevrey, Mahler, D-finite, P-recursive, differentially algebraic, holonomic, hypergeometric, lacunary, G-functions, ..., with often sharp contrasts between characteristic zero and positive characteristic.
For all these there are intriguing examples, counter-examples, particularities, results, techniques, comparisons, algorithms, computations, conjectures. We wish to get a more precise view on all this material in order to focus on particularly interesting problems and phenomena. The goal would be to design a prospective roadmap for future research and activities.
Duco van Straten,
... as well as local mathematicians and students.
The workshop will take place at the Departamento de Matematicas da Universidade de Lisboa, sala 6.2.33. It is situated on the ground floor of
pavillon C6 of the campus, metro Cidade Universitária.
The meeting starts on Saturday, January 27, at 10 am. Students and interested researchers are very welcome to attend the discussions; they are kindly asked to contact the organizers in advance.
Eisenstein / Heine (denominators),
Adamczewski-Bell (alg. series),
Bostan Linz I,
Bostan Linz II,
Bostan Linz III,
Bostan Linz IV,
Bostan Linz V,
Polya (entire series),
André (Gevrey series),
Dwork-van der Poorten (Eisenstein constant),
Hickel-Matusinski (algebraic Puiseux series),
Kedlaya (alg. series char. p),
Lafon (Weierstrass alg. series),
Matsuda (alg. solutions diff. equ.),
Maillet (Gevrey solutions),
Roques (diff. Galois theory),
Singer (difference equations),
Adamczewski-Bell-Delaygue (alg. independence),
Wibmer (diff. Galois theory),
... to be continued.
Herwig Hauser, Faculty of Mathematics, University of Vienna, Austria
Supported in part by the Austrian Science Fund FWF through project P-25652.
We are grateful for the kind hospitality of the Department of Mathematics at the Universidade de Lisboa.