Professor Charles Conley invites you to attend the PhD dissertation defense of Nehemiah Kuhns
Friday, March 9th at 1:00pm in GAB 461
"Uniserial representations of Vec(R)."
In this talk, we will summarize our results on the uniserial representations of Vec(ℝ), the Lie algebra of polynomial vector fields on the real line, with a single Casimir eigenvalue and weights bounded below. These representations are composed of the so-called tensor density modules, representations which are deformations of the natural action of Vec(ℝ) on ℂ[z]. Our proofs are cohomological arguments involving 1-cocycles taking values in homomorphism spaces between these irreducible representations of Vec(ℝ).
We also introduce and give preliminary results on analogous representations of the Virasoro Lie algebra.