Algebra seminar in Lincoln: talk by Dr David Stewart

Charlotte Scott Centre for Algebra

On Wednesday the 30th of January 2019 Dr David Stewart (Newcastle University) visited the Charlotte Scott Centre for Algebra in Lincoln and gave a talk  “Gröbner bases, smooth centralisers and the Lefschetz principle”.

Abstract: “In a paper in the now defunct LMS Journal of Computation I used GAP to compute the Lie-theoretic centralisers in the exceptional groups of elements in their minimal modules in all characteristics, establishing when the centralisers in the groups were smooth. Non-smoothness was only found in very small characteristics, even where there are infinitely many orbits. This led to a question on when all centralisers of elements in a Z-defined representation would be smooth if the characteristic were large enough. With my co-authors we managed to prove this using the Lefschetz principle from model theory applied to Gröbner bases, which gave rise to what we call ‘d-bounded Hopf quadruples’. I’ll explain some of this…

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