Pierre Clare
Office: 130 Jones Hall
Office Hours: by chance and by appointment.
The seminar meets on Mondays at 3:30pm in Jones 131.
| Date | Speaker | Topic |
| 09/03 | PC | Lie groups and infinitesimal transformations |
| 09/10 | Cooper Spinelli | Lie algebras, examples, ideals |
| 09/17 | PC Brennan Dolson | Algebraic background, representations Adjoint representation, Killing form |
| 09/24 | Honora Overby Cooper Spinelli Torger Olson | Derived series, characteristic ideals Solvable Lie algebras Nilpotent Lie algebras |
| 10/01 | Torger Olson Henry Hannon | Nilpotent Lie algebras Lie's Theorem |
| 10/08 | Alexander Michel | Engel's Theorem |
| 10/15 | Fall Break | |
| 10/22 | Ben Bechtold | Cartan's criteria for solvability and semisimplicity |
| 10/29 | PC | Semisimple Lie algebras, spectral loose ends |
| 11/05 | Mark Agrios | Cartan subalgebras |
| 11/12 | Torger Olson | Root space decomposition |
| 11/19 | Torger Olson Honora Overby | Self-centralizing property of Cartan subalgebras Root space decomposition for $\mathfrak{sl}(3,\mathbb{C})$ |
| 11/26 | PC Torger Olson | Picturing roots of $\mathfrak{sl}(3,\mathbb{C})$ Abstract root systems |
| 12/03 | PC | Dynkin diagrams and the classification of semisimple Lie algebras |
The Honor Code applies to all activities related to this course. The Honor System is responsible for resolving any suspected violations of the Honor Code. Do not hesitate to ask the instructor beforehand if you have any questions as to whether some action would be compatible with the Honor Code.
Students with disabilities who will be taking this course and may need disability-related accommodations are encouraged to make an appointment to see their instructor as soon as possible.
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