MATH Seminar

Title: Linear Preserver Problems and Cohomological Invariants
Defense: Dissertation
Speaker: Hernando Bermudez of Emory University
Contact: Hernando Bermudez, hbermud@emory.edu
Date: 2014-04-02 at 4:00PM
Venue: W306
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Abstract: Let G be a simple linear algebraic group over a field F. In this work we prove several results about G and it's representations.. In particular we determine the stabilizer of a polynomial f on an irreducible representation V of G for several interesting pairs (V,f). We also prove that in most cases if f is a polynomial whose stabilizer has identity component G then there is a correspondence between similarity classes of twisted forms of f and twisted forms of G. In a different direction we determine the group of normalized degree 3 cohomological invariants for most G which are neither simply connected nor adjoint.