Suggested Topics for Student Presentations

• Poincare-Birkhoff-Witt theorem. Anupama Bhardwaj. Wednesday, April 17, 2024.
  Basis of enveloping algebra of a Lie algebra is given by ordered monomials in a basis of the Lie algebra.


• Positive Self-adjoint Hopf algebras. Nick Bermingham. Friday, April 19, 2024.
  The ring of symmetric functions is the universal PSH algebra with a canonical generator (Zelevinsky's theorem).


• Quantum groups. Killian Davis. Monday, April 22, 2024.


• Normal basis theorem for Galois groups. Abhay Chaudhary. Friday, April 26, 2024, 4PM (same room).