CMM hosts the first congress on Symbolic Dynamics on Finitely Generated Groups

CMM hosts the first congress on Symbolic Dynamics on Finitely Generated Groups

Never before the best experts on symbolic dynamics have met at the same place to discuss and speak on this new generalization of their field of knowledge to finitely generated groups. This changed when the Center for Mathematical Modeling of Universidad de Chile (CMM) organized the workshop on Symbolic Dynamic, which was held in Santiago between 15th and 19th December 2014.

“It was surprising to see the significant number of highly specialized researchers including most experts in the field participating in the event. It is very important to encourage young people to work on this area, as the theory of finitely generated groups is a new framework in symbolic dynamics that has a lot of development ahead”, pointed out Michael Schraudner, CMM researcher and main organizer of the event.

Indeed, the workshop brought up new ideas and attendees rose many questions that “will lead to new projects in the next couple of years as well as the chance for a follow-up conference in the near future”, added Schraudner.

The workshop consisted of three minicourses: Nathalie Aubrun, a young professor from the École Normale Supérieure de Lyon (France), talked about “Sofic subshifts on finitely generated groups”, while Tom Meyerovitch, professor at the University of Ben-Gurion (Israel) lectured on “Automorphisms of symbolic dynamical systems”. Finally, Tullio Ceccherini-Silberstein, fromUniversità degli Studi del Sannio (Italy), gave a minicourse on “Cellular automata and groups”. His course was also based on his innovative book entitled Cellular automata and groups (2010).

Moreover, 19 individual and short talks were offered at the workshop. The talk on Nivat´s conjecture by Jarkko Kari from University of Turku (Finland) drew the attentionof Soonjo Hong, CMM postdoc:”The idea of using algebra of formal polynomials to study periodicity of patterns filling a plane was interesting. I would like to collaborate sometime with Kari.”

The workshop had around 65 participants coming from more than ten countries, among them senior researchers, postdocs and Ph.D. students with an advanced level of training in symbolic dynamics, an area that has been highly active during the last ten years. Hence, it was an opportunity especially for students to come in contact with researchers and learn more about recent advances in a theory that is not (yet) included in the curriculum of regular courses at universities.

“For me it was very stimulating to see the relation between mathematics and informatics. It is interesting to have both perspectives”, explained Martin Delacourt, CMM postdoc who studied Computer Science in France.

The congress took place within a three-week period of conferences on dynamics, along with the School on Orbit Equivalence and related fields and the biannual conference Information and Randomness 2014, both of them also held in Chile and sponsored by the Anillo project in Dynamical Systems and Universidad de Chile.

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Posted on Dec 24, 2014 in Frontpage, News