September 23-25, 2024
IHP, Institut Henri Poincaré, Paris, France
As part of the Trimester Post-quantum Algebraic Cryptography
Speakers
Christopher Battarbee (Sorbonne University, Paris, France)
Indira Chatterji (University of Nice, France)
Arman Darbinyan (University of Southampton, UK)
Cornelia Drutu (Oxford University, UK)
Bettina Eick (TU Braunschweig, Germany)
Ramon Flores (University of Seville, Spain)
Harald Helfgott (Cité University, Paris, France)
Corentin Le Coz (University of Ghent, Belgium)
Keivan Mallahi-Karai (Constructor University, Germany)
Conchita Martinez-Perez (University of Zaragoza, Spain)
Carmine Monetta (University of Salerno, Italy)
Emmanuel Rauzy (TU Munich, Germany)
Alexander Ryba (Queens College, City University of New York, USA)
Dima Savchuk (University of South Florida, USA)
Vladimir Shpilrain (City College of New York, USA)
Antonio Tortora (Uni Campania, Italy)
James Wilson (Colorado State University, USA)
Andrzej Zuk (Cité University, Paris, France)
Organizers: Delaram Kahrobaei and Vladimir Shpilrain
Titles and Abstracts:
Bettina Eick: The conjugacy problem in GL(n,Z): The talk describes an algorithm to solve the conjugacy problem and compute centralizers in GL(n,Z).
Ramón Flores: In the last years, thorough research has been conducted in order to understand graph properties in terms of group properties of the associated right-angled Artin group (RAAG). These properties should be intrinsic, in the sense that they should not depend on a concrete system of generators of the group. In this talk we will give a general review on the topic, with emphasis in planarity, self-complementarity and existence of surjections. In particular, we will highlight the crucial role of the cohomology algebra of the group in our approach. This is joint work with D. Kahrobaei and T. Koberda.
Emmanuel Rauzy: Groups with presentations in EDT0L: The EDT0L class of languages was shown to have numerous applications in the study of countable groups, starting with work of Ciobanu, Diekert and Elder.
We provide a new use of EDT0L languages, via the notion of EDT0L presentation of a group. We show how to compute marked hyperbolic quotients of groups given by EDT0L presentations, by relying on the notion of equational Noetherianity.
This is joined work with Laurent Bartholdi and Leon Pernak.
Alexander Ryba: The tensor decomposability problem: We discuss methods to determine whether an absolutely irreducible representation of a finite group can be decomposed as a tensor product of representations.