Explore a lecture on the unique factorization for tensor products of parabolic Verma modules presented by V. Sathish Kumar. Delve into advanced concepts in algebraic and combinatorial methods in representation theory, focusing on infinite-dimensional Lie algebras and related structures. Gain insights into this specialized topic as part of a broader program featuring mini-courses on vertex algebras, quantum affine algebras, quantum superalgebras, and reductive groups. Enhance your understanding of current progress in Lie theory and its applications in mathematics and physics.