International conference Frontiers of Lie Theory: Computational Aspects and Applications will be held at Będlewo Conference Center near Poznań, 28 September - 4 October 2025.

Organizers: 

• Willem Adriaan De Graaf (University of Trento) willem.degraaf@unitn.it 

• Alessio Marrani (University of Murcia) alessio.marrani@um.es

• Piotr Jastrzębski (University of Warmia and Mazury) piojas@matman.uwm.edu.pl

• Aleksy Tralle (University of Warmia and Mazury) tralle@matman.uwm.edu.pl

Topic: Since its origins in the work of Sophus Lie (now more than a century ago), Lie theory has seen tremendous developments and is now fundamental in many areas of mathematics (like group theory, geometry, symmetric spaces etc) and physics (quantum mechanics, particle physics, theories of gravity, including supergravity).  Nowadays there are specialized computer packages such as LiE, the Atlas project, the package Chevie for GAP3, the program ChevLie. Also the more general purpose computer algebra systems GAP4, MAGMA and SageMath have large libraries for dealing with various objects that are central to Lie theory.

Focus: The purpose of the conference is to bring together people working on computational aspects of various branches of Lie theory, as well as early career researchers in these areas with the goal of creating new collaborations and new directions of reearch. 

The discussions will focus on (but not limited to):

• Actions of discrete subgroups of Lie groups

• Invariant geometric structures on homogeneous spaces and their computer-aided investigation

• Subalgebras of semisimple Lie algebras

• Applications to physics