Workshop Lisboa May 2022:

Workshop "Fuchsian Differential Equations",
Departamento de Matemáticas, Instituto Superior Técnico,
Universidade de Lisboa,
Sala 3.10.
May 11 - 15, 2022
Contact: Herwig Hauser, Faculty of Mathematics, University of Vienna
www.xxyyzz.cc
www.hh.hauser.cc
Fuchsian Differential Equations are ordinary linear equations typically with polynomial
coefficients. As such they are susceptible to algebraic and arithmetic methods.
For instance, their behaviour under reduction modulo a prime p is still full of mysteries and
unsolved conjectures.
We will approach the topic in a very accessible and explicit manner, looking at concrete examples,
computational aspects, various conjectures, and a comparison of main techniques.
Interested people are kindly asked to contact the organizers.
Alin Bostan, Paris
Frits Beukers, Utrecht
Xavier Caruso, Bordeaux
Duco van Straten, Mainz
Julien Roques, Lyon
Josef Schicho, Linz
Sergey Yurkevich, Vienna
Florian Fürnsinn, Vienna
Cazibe Kavalci, Ankara
Raphaël Pagès, Bordeaux
Orlando Neto, Lisbon
Carlos Florentino, Lisbon
Giancarlo Cotti, Lisbon
Herwig Hauser, Vienna
The workshop will take place at the
Instituto Superior Técnico,
Departamento de Matemáticas, Universidade de Lisboa,
metro Saldanha.
The meeting starts on Wednesday, May 11, at 9 am.
Students and interested researchers are very welcome;
Supported in part by the Austrian Science Fund FWF through project P-34576.
We are very grateful for the kind hospitality offered by the mathematicians at the
Instituto Superior Técnico of Universidade de Lisboa,
especially José Mourão and João Pimentel.
ALGEBRAIC
MARVELS
IN
DIFFERENTIAL
EQUATIONS
Departamento de Matematicas,
CMAF-CIO, FCUL, Sala 6.2.33, Universidade de Lisboa,
February 18 - 22, 2019
Website: www.xxyyzz.cc
Organized by: Herwig Hauser
Algebraic solutions of differential equations;
reduction modulo p;
monodromy group;
Picard-Fuchs equations;
regular singular points;
Malgrange index theorem;
Bernstein-Sato polynomial;
Alin Bostan
Eric Delaygue
Herwig Hauser
Orlando Neto
Julien Roques
Duco van Straten
Fernando Rodriguez Villegas
Michael Wibmer
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 (Faculdade de Ciencias) of the UL campus, metro Cidade Universitária.
The meeting starts on Monday, February 17, at 10 am.
Students and interested researchers are very welcome
to attend the workshop; they are kindly asked
to contact the organizers in advance.
Bostan Linz I,
Bostan Linz II,
Bostan Linz III,
Bostan Linz IV,
Bostan Linz V,
Honda (D-finite),
André (Gevrey series),
Maillet (Gevrey solutions),
Roques (diff. Galois theory),
Singer (difference equations),
Adamczewski-Bell-Delaygue (alg. independence),
Wibmer (diff. Galois theory),
Herwig Hauser, Faculty of Mathematics, University of Vienna, Austria
www.hh.hauser.cc,
herwig.hauser@univie.ac.at.
Orlando Neto, Departamento de Matematicas da Universidade
de Lisboa
orlando60@gmail.com
Supported in part by the Austrian Science Fund FWF through project P-31338.
We are grateful for the kind hospitality of the Department of Mathematics at the Universidade de Lisboa.
ALGEBRAIC
AND
ANALYTIC
ASPECTS
OF
POWER
SERIES
Departamento de Matematicas, Universidade de Lisboa,
January 26 - 31, 2018
Website: www.xxyyzz.cc
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.
Boris Adamczewski,
Mariemi Alonso,
Alin Bostan,
Francisco Castro-Jiménez,
Eric Delaygue,
Herwig Hauser,
Luis Narváez,
Orlando Neto,
Julien Roques,
Duco van Straten,
Michael Wibmer,
... 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.
Sharif-Woodcock (diagonals),
Eisenstein / Heine (denominators),
Denef-Lipshitz (diagonals),
Furstenberg (diagonals),
Adamczewski-Bell (alg. series),
Bostan Linz I,
Bostan Linz II,
Bostan Linz III,
Bostan Linz IV,
Bostan Linz V,
Polya (entire series),
Honda (D-finite),
André (Gevrey series),
Mahler (Minkowski),
Mahler (lacunary),
Banderier-Drmota (survey),
Christol (diagonals),
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.),
Dreyfus-Hardouin-Roques (hypertranscendance),
Maillet (Gevrey solutions),
Samol-van Straten,
Roques (diff. Galois theory),
Singer (difference equations),
Hardouin-Singer,
Adamczewski-Bell-Delaygue (alg. independence),
Wibmer (diff. Galois theory),
... to be continued.
Herwig Hauser, Faculty of Mathematics, University of Vienna, Austria
www.hh.hauser.cc,
herwig.hauser@univie.ac.at.
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.