February 18, 2015
4:30 pm
-
5:30 pm
Cockins Hall 228
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2015-02-18 17:30:00
2015-02-18 18:30:00
Reps Seminar - David Anderson
Title: Rationality of a Lie algebra over its quotient by the adjoint actionSpeaker: David Anderson (The Ohio State University)Seminar URL: https://research.math.osu.edu/reps/Abstract: A semisimple algebraic group G acts on the function field of its Lie algebra k(g) via the adjoint action, and a basic question is this: can k(g) be generated by algebraically independent elements over the invariant field k(g)^G? In 2011, Colliot-Thelene, Kunyavskii, Popov, and Reichstein found the answer for all groups not containing a factor of type G2. In joint work with Florence and Reichstein, we recently settled this last case. I will give a rough overview of the problem, and sketch the solution in the G2 case concretely.
Cockins Hall 228
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2015-02-18 16:30:00
2015-02-18 17:30:00
Reps Seminar - David Anderson
Title: Rationality of a Lie algebra over its quotient by the adjoint actionSpeaker: David Anderson (The Ohio State University)Seminar URL: https://research.math.osu.edu/reps/Abstract: A semisimple algebraic group G acts on the function field of its Lie algebra k(g) via the adjoint action, and a basic question is this: can k(g) be generated by algebraically independent elements over the invariant field k(g)^G? In 2011, Colliot-Thelene, Kunyavskii, Popov, and Reichstein found the answer for all groups not containing a factor of type G2. In joint work with Florence and Reichstein, we recently settled this last case. I will give a rough overview of the problem, and sketch the solution in the G2 case concretely.
Cockins Hall 228
America/New_York
public
Title: Rationality of a Lie algebra over its quotient by the adjoint action
Speaker: David Anderson (The Ohio State University)
Seminar URL: https://research.math.osu.edu/reps/
Abstract: A semisimple algebraic group G acts on the function field of its Lie algebra k(g) via the adjoint action, and a basic question is this: can k(g) be generated by algebraically independent elements over the invariant field k(g)^G? In 2011, Colliot-Thelene, Kunyavskii, Popov, and Reichstein found the answer for all groups not containing a factor of type G2. In joint work with Florence and Reichstein, we recently settled this last case. I will give a rough overview of the problem, and sketch the solution in the G2 case concretely.
