Comet Calendar
Algebra and Combinatorics Seminar
Wednesday, November 2, 2022 11:30am to 12:30pm
Event Details
Speaker: Carlos Arreche (UTD)
Title: Galois groups for difference equations II: all the cases
Abstract: A technical but crucial result in the algebraic theory of linear difference (matrix) equations is that the matrix coefficient can be ``gauged into’’ a matrix in the Galois group (under relatively mild and strong assumptions on the base difference field). After recalling the basic set-up of Galois theory for difference equations, we will state and explain this fundamental result, both from a theoretical point of view and also regarding how to use it in practical computations. If time allows, we will explain how to overcome this difficulty for different fields that don’t quite, but *almost*, meet the requisite specifications.
Abstract: A technical but crucial result in the algebraic theory of linear difference (matrix) equations is that the matrix coefficient can be ``gauged into’’ a matrix in the Galois group (under relatively mild and strong assumptions on the base difference field). After recalling the basic set-up of Galois theory for difference equations, we will state and explain this fundamental result, both from a theoretical point of view and also regarding how to use it in practical computations. If time allows, we will explain how to overcome this difficulty for different fields that don’t quite, but *almost*, meet the requisite specifications.
Location
Cecil H. Green Hall (GR), 4.204
800 W. Campbell Road, Richardson, Texas 75080-3021
Department
- Natural Sciences & Mathematics
Contact Information
- Nathan Williams
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