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Group theory seminar Berthé/Dang/Duchesne

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Group theory seminar Berthé/Dang/Duchesne

January 31 (wednesday)


14.00 – 14.45 Valérie Berthé (Paris VII),  « Dendric subshifts  and groups »

15.00 – 15.45  Nguyen-Bac Dang, (Orsay) , « Variation of the Hausdorff dimension of limits set and degenerating Schottky groups »

16.15 – 17.00  Bruno Duchesne (Orsay), TBA


Valérie Berthé,   « Dendric subshifts  and groups »


We discuss a family of  symbolic dynamical systems  that have remarkable  group properties, the family of dendric words. This family  includes numerous classical families of   symbolic dynamical systems,   among others codings of interval exchanges. Their return words  form positive   basis of the free group. We   discuss    their dimension groups, which  are complete invariants of strong orbit equivalence, andapplications to skew products based on finite  groups.

Nguyen Bac Dang,  « Variation of the Hausdorff dimension of limits set and degenerating Schottky groups »

In this talk, based on a joint work with Vlerë Mehmeti, I will  explain how one can use some techniques in non-Archimedean geometry to study families of  degenerating complex Schottky groups. More precisely, each Schottky group comes with a fractal set, obtained as a limit of an orbit, called the limit set. We show that under specific conditions,  one can can obtain an asymptotic formula for  the Hausdorff dimension of the limit set. If time permits, I will present how certain functions, called Poincare series have very special  behavior when one works over non-Archimedean fields.

Organized by Andrei Alpeev, Laurent Bartholdi, Anna Erschler and Panagiotis Tselekidis 

Partially supported by ERC Advanced Grant 101097307 (P.I.:Laurent Bartholdi).


- Séminaire de théorie des groupes à l’ENS

Détails :

Orateur / Oratrice : Valérie Berthé, Nguyen-Bac Dang, Bruno Duchesne
Date : 31 janvier 2024
Horaire : 14h00 - 17h00
Lieu : 14:00-17:00 Salle W