Professor Conley invites you to attend the PhD dissertation defense of Tyler Kenefake

"Annihilators of Bounded Indecomposable Modules of Vec(R)"

Abstract:

The Lie algebra Vec(R) of polynomial vector fields on the line acts naturally on C[x]. This action has a one-parameter family of deformations called the tensor density modules F_λ. The bounded indecomposable modules of Vec(R) of length 2 composed of tensor density modules have been classified by Feigin and Fuchs. In this talk, we present progress towards describing the annihilators of the unique indecomposable extension of F_λ by F_λ+2 in the non-resonant case λ ≠ -½. We give the intersection of the annihilator and the subalgebra of lowest weight vectors of the universal enveloping algebra U(Vec (R)) of Vec(R). This result is found by analyzing the structure of the lowest weight vectors of U(Vec(R)), and then applying the known result of the annihilators of the tensor density modules.

Cake and coffee will be served in GAB 472 following the event.