Quantum groups
and
Lie groups
CALISTA WG3 meeting
from 25.09.2024 to 26.09.2024
at University of Zagreb
Organisers: Karmen Grizelj, Andrey Krutov, Ana Prlić, Pavle Pandžić
Speakers
Martina Balagović, Alessandro Carotenuto, Rita Fioresi, Ulrich Krähmer, Jianrong Li, Josip Novak, Réamonn Ó Buachalla, Fedor Part, Ana Prlić, Zoran Škoda, Petr Somberg
WG3 meeting
This conference is a part of the series of yearly meetings of WG3 of the CALISTA action. The previous meeting (Quantum Groups and Noncommutative Geometry in Prauge) was in Prague in September 2023. The main aim of WG3 is to make significant advances in the understanding of the noncommutative geometry of quantum groups homogeneous spaces through the application of ideas from parabolic geometry and representation theory of Lie groups and Lie algebras.
Registration
There is no conference fee, and anyone is welcome to participate and attend talks. We encourage the potential participants to register by sending an email to glq2024zagreb@gmail.com or to one of the organizers.
Contacts
For more info write to glq2024zagreb@gmail.com or contact directly the organizers: Karmen Grizelj, Andrey Krutov, Pavle Pandžić, Ana Prlić.
COST action CALISTA
Symmetry is a central unifying theme in mathematics and physics. In this project we focus our attention on symmetries realized through Lie groups and Lie algebras. In addition to the spectacular achievements in representation theory, and differential geometry, Lie theory is also exceptionally important for the formalization of fundamental physical theories. CaLISTA aims to advance cutting-edge research in mathematics and physics through a systematic application of the ideas and philosophy of Cartan geometry, a thoroughly Lie theoretic approach to differential geometry. In addition to making major progress in Cartan geometry itself, CaLISTA aims to develop crucial applications to integrable systems and supersymmetric gauge theories.
Quantum groups and their quantum homogeneous spaces come into the play as a bridge between these topics: quantum groups stem originally from the R-matrix formulation in integrable systems, and their homogeneous spaces offer prototypical examples of noncommutative parabolic geometries.
Parabolic geometry is the first and possibly the most important example of Cartan geometry, and one of the main aims of CaLISTA is to obtain a quantum generalization.
Surprisingly, Lie theory and Cartan geometry play a role in an exciting new interpretation of the differential structure, and related dynamics, of models for popular algorithms of vision like Deep Learning and the more recent Geometric Deep Learning.
CaLISTA aims to investigate and improve on these techniques. CaLISTA will provide essential mathematical models with far-reaching applications, placing Europe among the leading actors in these innovative research areas.
More details can be found on the website of the action.