Schedule for Student Presentations

Monday, April 24, 2023 (UH047), 3-4PM

• Ringel-Hall algebra. (Pranali Sohoni) An algebra associated to finitary categories, which encodes extensions among simple objects.


• Poincare-Birkhoff-Witt theorem. (Tinghao Huang) Basis of enveloping algebra of a Lie algebra is given by ordered monomials in a basis of the Lie algebra.

Friday, April 28, 2023 (UH047), 4-5.45PM

• Tannakian categories. (Giovanni Ferrer) A generalization of the method outlined by Tannaka in 1939 - to reconstruct a group from its category of finite-dimensional representations.


• Differential posets. (Hugh Dennin)


• Baker-Campbell-Hausdorff series. (Amogh Parab) Expansion of exp(a)exp(b) when a, b are non-commuting variables.