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Documents  Vareilles, Stéphanie | enregistrements trouvés : 49

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Post-edited  Interview au CIRM : Nicola Kistler
Kistler, Nicola (Personne interviewée) | CIRM (Editeur )

Swiss-born mathematician Nicola Kistler was the first holder of the Jean-Morlet Chair for mathematical sciences at CIRM and, in that capacity, became the first visiting researcher in residence for six months at the Centre. His stay at CIRM lasted from early February till July 2013. He set up a program of mathematical events focusing on 'Probability', with the collaboration of Véronique Gayrard, local project leader working at Marseille's Laboratoire d'Analyse, Topologie, Probabilités (ex LATP - now I2M).
CIRM - Jean-Morlet Chair on 'Probability'
Swiss-born mathematician Nicola Kistler was the first holder of the Jean-Morlet Chair for mathematical sciences at CIRM and, in that capacity, became the first visiting researcher in residence for six months at the Centre. His stay at CIRM lasted from early February till July 2013. He set up a program of mathematical events focusing on 'Probability', with the collaboration of Véronique Gayrard, local project leader working at Marseille's ...

Post-edited  Interview at CIRM: Inkang Kim
Kim, Inkang (Personne interviewée) | CIRM (Editeur )

Inkang Kim works on hyperbolic geometry and symmetric spaces. He works on rigidity and flexibility of discrete groups acting on symmetric spaces. For rigidity side, he proved the marked length rigidity of Zariski dense subgroups of semisimple Lie groups. In the line of Weil's local rigidity, with his collaborators he proved the local rigidity of real and complex hyperbolic lattices in quaternionic hyperbolic spaces. For flexibility side, with Pierre Pansu he characterized the criterion for a deformability to a Zariski dense representation of a surface group representation in semisimple Lie groups. Specially in hyperbolic 3-manifolds, with other collaborators he generalized William Thurston's double limit theorem to any hyperbolic 3-manifold with compressible boundary. Inkang Kim works on hyperbolic geometry and symmetric spaces. He works on rigidity and flexibility of discrete groups acting on symmetric spaces. For rigidity side, he proved the marked length rigidity of Zariski dense subgroups of semisimple Lie groups. In the line of Weil's local rigidity, with his collaborators he proved the local rigidity of real and complex hyperbolic lattices in quaternionic hyperbolic spaces. For flexibility side, with ...

Post-edited  Interview at CIRM: Terry Lyons
Lyons, Terry (Personne interviewée) | CIRM (Editeur )

In 2013, probability was the key subject of the thematic month, Terry J LYONS took part in the conference dedicated to French mathematician Etienne PARDOUX in celebration of his 65th birthday. An opportunity for us to look into the areas of mathematics that LYONS, a famous British mathematician, chooses to concentrate on... Interview.

Pierre-Louis LIONS a participé au mois thématique 2013 au CIRM consacré aux probabilités.
Médaille Fields 1994, Pierre-Louis LIONS est le fils du mathématicien Jacques-Louis Lions. Reçu major à Polytechnique et à l'ENS, Pierre-Louis Lions entre à l'École normale supérieure (Paris) en 1975. Refusant de passer l'agrégation de mathématiques, il préfère se consacrer à la recherche en mathématiques appliquées et obtient son doctorat, dirigé par Haïm Brézis, en 1979 à l'Université Pierre-et-Marie-Curie. De 1979 à 1981, il poursuit ses recherches au CNRS puis devient professeur à l'université de Paris-Dauphine. Pierre-Louis Lions est professeur de mathématiques appliquées à l'École polytechnique depuis 1992 et professeur invité au Conservatoire national des arts et métiers en 2000. Il est nommé professeur au Collège de France en 2002, où il est titulaire de la chaire « Équations aux dérivées partielles et applications ».
Les travaux mathématiques de Pierre-Louis Lions portent sur la théorie des équations différentielles partielles non linéaires. On lui doit notamment un travail conjoint avec M. G. Crandall sur les solutions de viscosité des équations de Hamilton-Jacobi, des avancées sur l'équation de Boltzmann et l'équation de Navier-Stokes, et le très célèbre principe de concentration-compacité. Depuis 2006, les travaux de Pierre-Louis Lions, ainsi que ses cours au Collège de France, portent sur la théorie des jeux à champ moyen qu'il a développée avec Jean-Michel Lasry.
En septembre 2006, il a été nommé membre du Haut conseil de la science et de la technologie.
En 2009, il est nommé président du conseil d'administration de l'École normale supérieure en remplacement du conseiller d'État Jean-Claude Mallet.
Il a encadré de nombreuses thèses dont celle de Cédric Villani, lauréat de la médaille Fields en 2010.
Pierre-Louis LIONS a participé au mois thématique 2013 au CIRM consacré aux probabilités.
Médaille Fields 1994, Pierre-Louis LIONS est le fils du mathématicien Jacques-Louis Lions. Reçu major à Polytechnique et à l'ENS, Pierre-Louis Lions entre à l'École normale supérieure (Paris) en 1975. Refusant de passer l'agrégation de mathématiques, il préfère se consacrer à la recherche en mathématiques appliquées et obtient son doctorat, dirigé par Haïm ...

Post-edited  Interview au CIRM : Etienne Ghys
Ghys, Etienne (Personne interviewée) | CIRM (Editeur )

Etienne Ghys is a French mathematician. His research focuses mainly on geometry and dynamical systems, though his mathematical interests are broad. He also expresses much interest in the historical development of mathematical ideas, especially the contribution of Henri Poincaré. He co-authored the computer graphics mathematical movie Dimensions: A walk through mathematics! Alumnus of the École Normale Supérieure de Saint-Cloud, he is currently a CNRS "directeur de recherche" at the École Normale Supérieure in Lyon. He is also editor-in-chief of the Publications Mathématiques de l'IHÉS and a member of the French Academy of Sciences. Etienne Ghys is a French mathematician. His research focuses mainly on geometry and dynamical systems, though his mathematical interests are broad. He also expresses much interest in the historical development of mathematical ideas, especially the contribution of Henri Poincaré. He co-authored the computer graphics mathematical movie Dimensions: A walk through mathematics! Alumnus of the École Normale Supérieure de Saint-Cloud, he is currently a ...

Alexander Bufetov got his Diploma in Mathematics at the Independent University of Moscow in 1999 and his PhD at Princeton University in 2005. After one year as a Postdoctoral student at the University of Chicago, he was employed as an Assistant Professor at Rice University where he also held the 'Edgar Odell Lovett Junior Chair'. In 2009, Alexander Bufetov joined the Steklov Mathematical Institute where he passed his habilitation thesis in order to supervise PhD students. In 2012, he became a CNRS Senior Researcher for the LATP (Laboratoire d'Analyse, Topologie, Probabilités) department at Aix-Marseille University. Alexander Bufetov has received several prizes: a Prize by Moscow Mathematical Society in 2005, a grant by the Sloan Foundation and a grant from the President of the Russian Federation in 2010 and also a grant from the Simons Foundation at the Independent University of Moscow in 2011. His research area is the Ergodic theory of dynamical systems. Alexander Bufetov got his Diploma in Mathematics at the Independent University of Moscow in 1999 and his PhD at Princeton University in 2005. After one year as a Postdoctoral student at the University of Chicago, he was employed as an Assistant Professor at Rice University where he also held the 'Edgar Odell Lovett Junior Chair'. In 2009, Alexander Bufetov joined the Steklov Mathematical Institute where he passed his habilitation thesis in order ...

Boris Hasselblatt held the Jean Morlet Chair from November 2013 to April 2014 with Serge Troubetzkoy (Aix-Marseille Université) as local project leader.
The scientific focus of this Chair is on hyperbolic dynamical systems and related topics. This is a broad and active area of research throughout the world which is on one hand at the core of Boris Hasselblatt's research record and interests and on the other hand well represented in the Marseille region.
Moreover, hyperbolic dynamics has broad interactions with numerous other areas of dynamical systems and mathematics: partial differential equations viewed as infinite-dimensional dynamical systems, celestial mechanics, statistical mechanics, geometry (of nonpositively curved manifolds),Teichmüller theory, topology, to name a few.
In addition, hyperbolic dynamics is important to a broad range of subjects in applied mathematics.
Boris Hasselblatt held the Jean Morlet Chair from November 2013 to April 2014 with Serge Troubetzkoy (Aix-Marseille Université) as local project leader.
The scientific focus of this Chair is on hyperbolic dynamical systems and related topics. This is a broad and active area of research throughout the world which is on one hand at the core of Boris Hasselblatt's research record and interests and on the other hand well represented in the Marseille ...

Frank den Hollander is Prof. dr. at Mathematical Institute, Leiden University, The Netherlands. From 2 to 6 June 2014, Prof. dr. Frank den Hollander has provided 2 lectures during the workshop 'Recent Models in Random Media' at the CIRM. During his visit, Prof. den Hollander was interviewed about his own mathematical research, the theme of the workshop and his lectures and about the state of mathematics in the Netherlands.

Igor Shparlinski held the Jean Morlet Chair from February 2014 to August 2014. This chair was linked in parts to the thematic month on 'Arithmetics' which took part in February 2014 at CIRM. Igor Shparlinski has a career in Number theory and its applications to cryptography, with significant overlap with the research interests of the groups Dynamique Arithmétique, Combinatoire (DAC) and Arithmétique et Théorie de l'Information (ATI) in Marseille. The idea was to start the month with a week on 'Unlikely Intersections' followed by a workshop organized by members of the DAC research group. Weeks 3 and 4 were on 'Frobenius distributions' and were co-organized with the ATI group. The focus was to introduce and explore new directions of research around the proof of the Sato-Tate conjecture, its generalizations, and the related Lang-Trotter conjecture. Continuing the progression to the interactions of arithmetics with geometry, the thematic month closed with a week on the topic 'On the Conjectures of Lang and Volta'.
CIRM - Jean-Morlet Chair on 'Number Theory and its Applications to Cryptography'
Igor Shparlinski held the Jean Morlet Chair from February 2014 to August 2014. This chair was linked in parts to the thematic month on 'Arithmetics' which took part in February 2014 at CIRM. Igor Shparlinski has a career in Number theory and its applications to cryptography, with significant overlap with the research interests of the groups Dynamique Arithmétique, Combinatoire (DAC) and Arithmétique et Théorie de l'Information (ATI) in ...

Post-edited  Interview at CIRM: Sarah Bray
Bray, Sarah (Personne interviewée) | CIRM (Editeur )

Sarah Bray is a PhD student in the Tufts Mathematics Department. She is currently undecided on a specialization topic, although interested in Hyperbolic Geometry and Dynamical Systems. She graduated from Hamilton College in 2011, where she played on the varsity Women's Lacrosse Team all four years.

Post-edited  Interview at CIRM: Marc Peigné
Peigné , Marc (Personne interviewée) | CIRM (Editeur )

Marc Peigné is the President of the French Mathematical Society (SMF) since June 2013.
The French Mathematical Society, Société Mathématique de France, was founded in 1872 although moves towards the creation of the Society began two years earlier. It was created for defending and promoting mathematics and mathematicians. From the year after the Society was founded the Society has published the Bulletin de Société Mathématique de France which intends to be one of the greatest international journals through its rigorous scientific policy. It also makes sure that it includes a lot of young researchers' work. The Society also publishes Mémoires de Société Mathématique de France. To celebrate its centenary the Society began publishing the journal Astérisque. It is a top-level international journal. It publishes various monographs, renowned seminars or reports of the main international colloquiums .... The articles are chosen for their ability to show a research branch under a new perspective. Each volume deals with only one subject. The whole annual collection covers all the different fields of mathematics. The Revue d'Histoire des mathématiques began publication in 1995. It contains original articles studying the history of mathematics from the 17th century onwards. There are many examples on ongoing cooperation between the Society and the French Applied and Industrial Mathematical Society. Together they promote the public awareness of mathematics, trying to raise the profile of the subject with the general public. They also cooperate on reports on the teaching of mathematics and together provide information on mathematics jobs in teaching and universities.
Marc Peigné is the President of the French Mathematical Society (SMF) since June 2013.
The French Mathematical Society, Société Mathématique de France, was founded in 1872 although moves towards the creation of the Society began two years earlier. It was created for defending and promoting mathematics and mathematicians. From the year after the Society was founded the Society has published the Bulletin de Société Mathématique de France which ...

Jean-Pierre Bourguignon est un mathématicien français qui a fait sa carrière au CNRS. Il a dirigé l'Institut des Hautes Études Scientifiques (IHÉS) de 1994 à 2013. Cet institut de recherche international situé à Bures-sur-Yvette près de Paris, a été créé en 1958 comme pendant en Europe de l'Institute for Advanced Study (Princeton). Il a enseigné à l'École polytechnique de 1986 à 2012. Il a été président de la Société Mathématique de France de 1990 à 1992. Très engagé sur le front européen, il a présidé la Société Mathématique Européenne de 1995 à 1998, il a été un des fondateurs de l'association Euroscience, puis à répétition membre du comité de pilotage de l'EuroScience Open Forum (ESOF).
Jean-Pierre Bourguignon a reçu diverses reconnaissances nationales et internationales : par l'Académie des sciences de Paris, le prix Paul Langevin en 1987 et le prix du Rayonnement français en sciences mathématiques et physiques en 1997 ; par la Royal Spanish Society, qui l'a élu membre étranger ; par la London Mathematical Society, qui l'a fait membre honoraire ; par l'Université Keio au Japon et par l'Université Nankai en Chine, qui lui ont décerné le titre de doctor honoris causa.
Actuellement : président du Conseil européen de la recherche (erc.europa.eu).
Jean-Pierre Bourguignon est un mathématicien français qui a fait sa carrière au CNRS. Il a dirigé l'Institut des Hautes Études Scientifiques (IHÉS) de 1994 à 2013. Cet institut de recherche international situé à Bures-sur-Yvette près de Paris, a été créé en 1958 comme pendant en Europe de l'Institute for Advanced Study (Princeton). Il a enseigné à l'École polytechnique de 1986 à 2012. Il a été président de la Société Mathématique de France de ...

Professor Jean-Pierre Bourguignon was the Director of the Institut des Hautes Études Scientifiques (IHÉS) from 1994 till 2013. This international research institute located near Paris, France, was built as the European counterpart of the Institute for Advanced Study in Princeton. He was also the first ERC Panel Chair in Mathematics, for Starting Grants. A mathematician by training, he spent his whole career as a fellow of the Centre National de la Recherche Scientifique (CNRS). He held a Professor position at École polytechnique from 1986 to 2012. From 1990 to 1992, he was President of the Société Mathématique de France and President of the European Mathematical Society from 1995 to 1998. He is a former member of the Board of the EuroScience organisation (2002-2006) and has served on EuroScience Open Forum (ESOF) committees since 2004.
Professor Bourguignon received the Prix Paul Langevin in 1987 and the Prix du Rayonnement Français in Mathematical Sciences and Physics from the Académie des Sciences de Paris in 1997. He is a foreign member of the Royal Spanish Academy of Sciences. In 2005, he was elected honorary member of the London Mathematical Society and has been the secretary of the mathematics section of the Academia Europaea. In 2008, he was made Doctor Honoris Causa of Keio University, Japan, and, in 2011, Doctor Honoris Causa of Nankai University, China.
Current position: President of the European Research Council (http://erc.europa.eu).
Professor Jean-Pierre Bourguignon was the Director of the Institut des Hautes Études Scientifiques (IHÉS) from 1994 till 2013. This international research institute located near Paris, France, was built as the European counterpart of the Institute for Advanced Study in Princeton. He was also the first ERC Panel Chair in Mathematics, for Starting Grants. A mathematician by training, he spent his whole career as a fellow of the Centre National de ...

Maria Chudnovsky is a professor in the department of mathematics at Princeton University. She grew up in Russia and Israel, studying at the Technion and received her Ph.D. in 2003 from Princeton under the supervision of Paul Seymour. She moved to Columbia after being a Clay Mathematics Institute research fellow and assistant professor at Princeton. Chudnovsky's contributions to graph theory include the proof of the strong perfect graph theorem with Robertson, Seymour and Thomas characterizing perfect graphs as being exactly the graphs with no odd induced cycles of length at least 5 or their complements. Other research contributions of Chudnovsky include co-authorship of the first polynomial time algorithm for recognizing perfect graphs and of a structural characterization of the claw-free graphs. Maria Chudnovsky is a professor in the department of mathematics at Princeton University. She grew up in Russia and Israel, studying at the Technion and received her Ph.D. in 2003 from Princeton under the supervision of Paul Seymour. She moved to Columbia after being a Clay Mathematics Institute research fellow and assistant professor at Princeton. Chudnovsky's contributions to graph theory include the proof of the strong perfect graph theorem ...

The Jean Morlet Chair is a scientific collaboration between CIRM -CNRS-SMF-, Aix-Marseille Université and the City of Marseille. Two international calls are launched every year to attract innovative researchers in an area of mathematical sciences. Selected candidates who must come from a foreign institution can spend a semester in residence at CIRM, where they run a full program of mathematical events in collaboration with a local project holder. Hans-Georg Feichtinger (University of Vienna) and Bruno Torresani (I2M Marseille) have been in charge of the second semester 2014 which will end in January 2015. The focus is on 'Computational Time-Frequency and Coorbit Theory'. Starting with a Research in Pairs event at the end of August, then three larger events-a School for young scientists, a main Conference and Small group- rather close in dates to enable participants to stay for more than one event, their semester will end on a second Research in Pairs in January 2015 and a celebratory event at the very end of the semester to celebrate 30 years of wavelets. The Jean Morlet Chair is a scientific collaboration between CIRM -CNRS-SMF-, Aix-Marseille Université and the City of Marseille. Two international calls are launched every year to attract innovative researchers in an area of mathematical sciences. Selected candidates who must come from a foreign institution can spend a semester in residence at CIRM, where they run a full program of mathematical events in collaboration with a local project ...

Post-edited  Interview at CIRM: Michael Artin
Artin, Michael (Personne interviewée) | CIRM (Editeur )

Michael ARTIN participated in the "Artin Approximation and Infinite dimensional Geometry" event organized at CIRM in March 2015, which was part of the Jean-Morlet semester held by Herwig Hauser. Michael Artin is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology mathematics department, known for his contributions to algebraic geometry and also generally recognized as one of the outstanding professors in his field. Artin was born in Hamburg, Germany, and brought up in Indiana. His parents were Natalia Jasny (Natascha) and Emil Artin, a preeminent algebraist of the 20th century. In 2002, Artin won the American Mathematical Society's annual Steele Prize for Lifetime Achievement. In 2005, he was awarded the Harvard Centennial Medal. He won the Wolf Prize in Mathematics. He is also a member of the National Academy of Sciences and a Fellow of the American Academy of Arts and Sciences, the American Association for the Advancement of Science, the Society for Industrial and Applied Mathematics, and the American Mathematical Society. Michael ARTIN participated in the "Artin Approximation and Infinite dimensional Geometry" event organized at CIRM in March 2015, which was part of the Jean-Morlet semester held by Herwig Hauser. Michael Artin is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology mathematics department, known for his contributions to algebraic geometry and also generally recognized as one of the outstanding professors ...

Post-edited  Interview at CIRM: Peter Scholze
Scholze, Peter (Personne interviewée) | CIRM (Editeur )

Peter Scholze became known as a mathematician after finishing his Bachelor's degree in three semesters and his Master's degree in two further semesters. Scholze's subsequent PhD-thesis on Perfectoid spaces yields the solution to a special case of the weight-monodromy conjecture.
He was made full professor shortly after completing his PhD, the youngest full professor in Germany.
Since July 2011 Scholze is a Fellow of the Clay Mathematics Institute. In 2012 he was awarded the Prix and Cours Peccot. He was awarded the 2013 SASTRA Ramanujan Prize. In 2014 he received the Clay Research Award. In 2015 he will be awarded the Frank Nelson Cole Prize in Algebra, and also the Ostrowski Prize.
According to the University of Bonn and to his peers, Peter is one of the most brilliant researchers in his field...
Peter Scholze became known as a mathematician after finishing his Bachelor's degree in three semesters and his Master's degree in two further semesters. Scholze's subsequent PhD-thesis on Perfectoid spaces yields the solution to a special case of the weight-monodromy conjecture.
He was made full professor shortly after completing his PhD, the youngest full professor in Germany.
Since July 2011 Scholze is a Fellow of the Clay Mathematics ...

Post-edited  Interview at CIRM: Dusa McDuff
McDuff, Dusa (Personne interviewée) | CIRM (Editeur )

Dusa McDuff is the Helen Lyttle Kimmel '42 Professor of Mathematics at Barnard College. At Barnard, she currently teaches "Calculus I", "Perspectives in Mathematics" and courses in geometry and topology.
Professor McDuff gained her early teaching experience at the University of York (U.K.), the University of Warwick (U.K.) and MIT. In 1978, she joined the faculty of the Department of Mathematics at SUNY Stony Brook, where she was awarded the title of Distinguished Professor in 1998.
Professor McDuff has honorary doctorates from the University of Edinburgh, the University of York, the University of Strasbourg and the University of St Andrews. She is a fellow of the Royal Society, a member of the National Academy of Sciences, a member of the American Philosophical Society, and an honorary fellow of Girton College, Cambridge.
She has received the Satter Prize from the American Mathematical Society and the Outstanding Woman Scientist Award from AWIS (Association for Women in Science).
Professor McDuff's service to the mathematical community has been extensive. She is particularly interested in issues connected with the position of women in mathematics, and currently serves on the MSRI Board of Trustees. Together with Dietmar Salamon, she has written several foundational books on symplectic topology as well as many research articles.
Dusa McDuff is the Helen Lyttle Kimmel '42 Professor of Mathematics at Barnard College. At Barnard, she currently teaches "Calculus I", "Perspectives in Mathematics" and courses in geometry and topology.
Professor McDuff gained her early teaching experience at the University of York (U.K.), the University of Warwick (U.K.) and MIT. In 1978, she joined the faculty of the Department of Mathematics at SUNY Stony Brook, where she was awarded the ...

Curtis Tracy McMullen (born 21 May 1958) is Professor of Mathematics at Harvard University. He was awarded the Fields Medal in 1998 for his work in complex dynamics, hyperbolic geometry and Teichmüller theory. McMullen graduated as valedictorian in 1980 from Williams College and obtained his Ph.D. in 1985 from Harvard University, supervised by Dennis Sullivan. He held post-doctoral positions at the Massachusetts Institute of Technology, the Mathematical Sciences Research Institute, and the Institute for Advanced Study, after which he was on the faculty at Princeton University (1987­1990) and the University of California, Berkeley (1990­1997), before joining Harvard in 1997. He received the Salem Prize in 1991 and was elected to the National Academy of Sciences in 2007. In 2012 he became a fellow of the American Mathematical Society. Curtis Tracy McMullen (born 21 May 1958) is Professor of Mathematics at Harvard University. He was awarded the Fields Medal in 1998 for his work in complex dynamics, hyperbolic geometry and Teichmüller theory. McMullen graduated as valedictorian in 1980 from Williams College and obtained his Ph.D. in 1985 from Harvard University, supervised by Dennis Sullivan. He held post-doctoral positions at the Massachusetts Institute of Technology, the ...

Post-edited  Interview at CIRM: Herwig Hauser
Hauser, Herwig (Personne interviewée) | CIRM (Editeur )

Herwig Hauser (Chair) and Guillaume Rond (Local Project Leader) held a Jean Morlet semester at CIRM from mid January to mid July 2015. Their scientific programme focused on 'Artin Approximation and Singularity Theory'. Artin Approximation concerns the solvability of algebraic equations in spaces of formal, convergent or algebraic power series. The classical version asserts that if a formal solution exists, then there also exists a convergent, hence analytic, and even algebraic solution which approximates the formal solution up to any given degree. As such, the theorem is instrumental for numerous constructions in algebraic geometry, commutative algebra and recursion theory in combinatorics. A series is Nash or algebraic if it is algebraic over the polynomials. Nash series can be codified by polynomial data deduced from the minimal polynomial by the normalization of the respective algebraic hypersurface. This makes them computable. The field has seen renewed activity through the recent research on Arc Spaces, Motivic Integration and Infinite Dimensional Geometry. Important questions remain still unanswered (nested subring case, composition problems, structure theorems for the solution sets) and were investigated during the program. Fruitful interchanges with the singularity theory, the combinatorics and the algebraic geometry groups took place. The scientific program was complemented by an exhibition of algebraic surfaces in the city of Marseille, based on the very successful "Imaginary" program designed by Hauser for the Mathematisches Forschungsinstitut Oberwolfach. Herwig Hauser (Chair) and Guillaume Rond (Local Project Leader) held a Jean Morlet semester at CIRM from mid January to mid July 2015. Their scientific programme focused on 'Artin Approximation and Singularity Theory'. Artin Approximation concerns the solvability of algebraic equations in spaces of formal, convergent or algebraic power series. The classical version asserts that if a formal solution exists, then there also exists a convergent, ...

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