Dynamical Methods in Spectral Theory of Self-Similar Groups and Graphs | 2-6 March 2026
Organizers: Nguyen-Bac Dang, Rostislav Grigorchuk, Tatiana Nagnibeda, Roland Roeder, Alexander Teplyaev
Participants:
Laurent Bartholdi (Geneva, ENS-Lyon)
Nguyen-Bac Dang (Paris-Saclay University)
Rostislav Grigorchuk (Texas A&M University)
Pierre de la Harpe (University of Geneva)
Mikhail Hlushchanka (University of Amsterdam)
Vadim Kaimanovich (University of Rennes)
Anders Karlsson (University of Geneva)
Kamila Kashaeva (University of Geneva)
Antti Knowles (University of Geneva)
Aleksey Kostenko University of Ljubljana & TU Graz
Mikhail Lyubich (Stony Brook University)
Ivan Mitrofanov ( University of Geneva)
Tatiana Nagnibeda (University of Geneva)
Volodymyr Nekrashevych (Texas A&M University)
Han Peters (University of Amsterdam)
Alessio Ranallo (University of Geneva)
Roland Roeder (Indiana University Indianapolis)
Luke Rogers (University of Connecticut)
Alexander Teplyaev (University of Connecticut)
Georgii Veprev (University of Geneva)
Rongwei Yang (University at Albany)
Tentative Schedule:
Monday (villa Boninchi)
9.00 - 9.50: Volodymyr Nekrashevych, Minicourse Lecture I: Self-similar groups and operator algebras.
10.20 - 11.10: Nguyen-Bac Dang, Minicourse Lecture I: Iterating rational maps and spectral problems.
Discussions / lunch / discussions
14.50 - 15.40: Anders Karlsson: Spectral zeta functions of groups and their special values.
16.10 - 17.00: Han Peters: Phase transitions for the independence polynomial.
Tuesday (villa Boninchi)
9.30 - 10.20: Antti Knowles: Localization and delocalization in random graphs.
10.50 - 11.40: Georgii Veprev: Localization of eigenfunctions in amenable unimodular random graphs.
Lunch / discussions
14.00 - 14.50: Laurent Bartholdi, Minicourse Lecture I: Bounded semigroups and post-critically nite
fractals.
15.20 - 16.10: Rongwei Yang, Minicourse Lecture I: Linear algebra in several variables.
Wednesday (Section de math ematiques)
9.30 - 10.20: Volodymyr Nekrashevych, Minicourse Lecture II: Self-similar groups and operator algebras.
10.50 - 11.40: Nguyen-Bac Dang, Minicourse Lecture II: Iterating rational maps and spectral problems.
Lunch
13.15 - 14.05: Aleksey Kostenko: Laplacians on in nite graphs.
14.35 - 15:50: Open Problem Session.
16.00: departure for the wine tasting + dinner: 17.00 { 21.00.
Thursday (villa Boninchi)
9.30 - 10.20: Mikhail Hluschanka: The independence polynomial for recursive graph sequences: the
dynamical perspective.
10.50 - 11.40: Kamila Kashaeva: Recursive coverings, spectrum, and heat kernels of some in nite
Cayley graphs.
Lunch / Discussions
14.00 - 14.50: Luke Rogers: Spectrum and eigenfunctions of Schreier graphs of the basilica group.
15.20 - 16.10: Rongwei Yang, Minicourse Lecture II: Projective joint spectrum: basic properties and
examples.
Friday (villa Boninchi)
9.30 - 10.20: Volodymyr Nekrashevych, Minicourse Lecture III: Self-similar groups and operator alge-
bras.
10.50 - 11.40: Rongwei Yang, Minicourse Lecture III: The operator theory of self-similar groups: a
progress report.
Lunch / Discussions
14.00 { 14.50: Nguyen-Bac Dang, Minicourse Lecture III: Iterating rational maps and spectral problems.
15.20 { 16.10: Laurent Bartholdi, Minicourse Lecture II: Bounded semigroups and post-critically nite
fractals.
