This track will explore the fundamental properties and structures of Lie algebras, including their classification and representation theory. Emphasis will be placed on the connections between Lie algebras and algebraic groups.

This session focuses on the role of Lie groups in various mathematical and physical contexts, highlighting their applications in symmetry and transformation theory. Participants will discuss recent advancements in the understanding of Lie group structures.

This track will delve into the representation theory of Lie algebras, examining both finite-dimensional and infinite-dimensional representations. Discussions will include character theory and the role of representations in various mathematical frameworks.

This session will investigate the interplay between symmetry and algebraic structures, particularly in the context of Lie algebras and groups. Participants will explore how symmetry principles can be applied to solve complex mathematical problems.

This track will examine the connections between differential geometry and Lie theory, focusing on the geometric aspects of Lie groups and algebras. Topics will include the study of homogeneous spaces and their applications.

This session will explore the relationship between algebraic topology and Lie algebras, including the use of topological methods in the study of algebraic structures. Participants will discuss cohomological techniques and their implications.

This track will focus on the theory of quantum groups and their connections to noncommutative algebra. Discussions will include applications in mathematical physics and the implications for representation theory.

This session will investigate the theory of root systems and their applications in Lie theory and algebraic geometry. Participants will discuss the significance of root systems in the classification of Lie algebras.

This track will explore various algebraic methods employed in the study of Lie algebras and groups. Emphasis will be placed on computational techniques and their applications in theoretical research.

This session will examine the applications of Lie algebras and groups in theoretical physics, particularly in quantum mechanics and field theory. Participants will discuss how algebraic structures can provide insights into physical phenomena.

This track will focus on group cohomology and its implications for the study of Lie groups and algebras. Discussions will include recent developments and their applications in various mathematical contexts.