|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
The Slice Method for torsors of algebraic groups
If you have a question about this talk, please contact Dr. J Ross.
Given a linear representation V of a linear algebraic group G, the slice method in invariant theory is a way of reducing birationality questions about V/G to questions about S/N(S), where S < V is a “slice”, and N(S) is its normalizer. I will describe how an analogous method could be applied to G-torsors over a field, to obtain a reduction to N(S)-torsors. This leads to new information about essential dimension. In this talk I will also give some context for the notion of essential dimension, and finally I will explain the various ways the slice method can be applied when G is the split exceptional algebraic group of type F_4, hence giving new bounds on ed(F_4).
This talk is part of the Algebraic Geometry Seminar series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsKettle's Yard Art Cell Gallery CISA
Other talksUncovering the Glass Cliff: Women's leadership roles in times of crisis Deformation and Microseismicity of the Groningen Gas Reservoir The Higgs pt spectrum with finite top mass Rage against the Machine: Individuals in the British Empire The Destruction of Cultural Property in War Zones: Comparing Value What's the big deal about Big Data?