Software · Archive
Online training: session 2, part A (March 1, 2016)
Archived page from the old site: recordings of the online training sessions held in February–March 2016. The embedded player of the old page no longer works; the links below open the recordings on YouTube.
Recordings of the online video training sessions. Go to the online training page.
Watch the recording on YouTube. The topics below link to the point in the recording where each begins.
- Welcome back. New features in Atlas website. Other videos.
- Questions from last time. Coordinates in atlas, change of coordinates matrix, the coordinates.at file. Newest version of atlas-scripts.
- Cartans of different real forms. G= SO(5,4). occurrence_matrix,
- Parameters.Parameter space, irreducible and standard modules. Langlands parameters.
- Example: SL(2,R). The command "all_parameters_gamma"
- Characters of real tori. The command "torus". Components of the characters: {theta, gamma, lambda} and {theta,lambda,nu}. Example: Characters of T=S^1. Equivalent parameters.
- Example: Characters of T=R^x.
- Example: Characters of T=C^x
- Differential in terms of lambda and nu. The functions x(parameter), lambda(parameter), nu(parameter), involution(x)
- Example: trivial representation of SL(2,R)
- Preview: x --> K orbit on G/B.
Return to online-training page for information about upcoming training sessions.