Cornelius Pillen - On the Humphreys-Verma conjecture and Donkin's tilting module conjecture

Algebra Seminar - Speaker: Cornelius Pillen (South Alabama)

Title: On the Humphreys-Verma conjecture and Donkin's tilting module conjecture

Abstract: This talk focuses on the Humphreys-Verma conjecture about the lifting of principal indecomposable modules for restricted Lie algebras to their ambient algebraic groups and on Donkin's tilting module conjecture. Several techniques that are needed to tackle the conjectures for small primes will be introduced and results for the exceptional group G_2 will be discussed in some detail.