Tentative Program

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.