Summer School on Polynomial Representations of the General Linear Group – Program (very preliminary)
Here you can find a schedule of the summer school. All indications are in reference with Green's book.
| Monday |
|
|
| 11:30 - 12:30 |
Registration |
|
| 12:30 - 13:30 |
Lunch |
|
| 13:30 - 14:30 |
Talk 1: Introduction and Notations (Ch. 1) |
Valentin Katter |
| 14:40 - 15:40 |
Talk 2: Notation, Matrix Categories and the Schur Algebra (Ch. 2.1 - 2.4) |
Rebecca Reischuk |
| 15:40 - 16:10 |
Coffee break |
|
| 16:10 - 17:10 |
Talk 3: Modular Theory and Tensor Space (Ch. 2.5 - 2.6) |
Lucia Morotti |
| 19:00 |
Dinner |
|
| Tuesday |
|
|
| 08:00 - 09:00 |
Breakfast |
|
| 09:00 - 10:00 |
Talk 4: Covariant Duality and the Algebra A (Ch. 2.7 - 2.8) |
Ivo Dell'Ambrogio |
| 10:00 - 10:30 |
Coffee break |
|
| 10:30 - 11:30 |
Talk 5: Weights and Weight Spaces (Ch. 3.1 - 3.3) |
Giulio Codogni |
| 11:40 - 12:40 |
Talk 6: Characters (Ch. 3.4) |
Nicola Sambin |
| 12:40 - 13:30 |
Lunch |
|
| 13:30 - 14:30 |
Talk 7: Irreducible Modules (Ch. 3.5) |
Mikaël Cavallin |
| 14:40 - 15:40 |
Talk 8: Young Tableaux, Bideterminants and Dλ,K (Ch. 4.1 - 4.4) |
Estanislao Herscovich |
| 15:40 - 16:10 |
Coffee break |
|
| 16:10 - 17:10 |
Talk 9: Basis Theorem for Dλ,K and the Carter-Lusztig Lemma (Ch. 4.5 - 4.6) |
Pooja Singla |
| 19:00 |
Dinner |
|
| Wednesday |
|
|
| 08:00 - 09:00 |
Breakfast |
|
| 09:00 - 10:00 |
Lecture Series by Steffen Koenig - Part 1 |
|
| 10:00 - 10:30 |
Coffee break |
|
| 10:30 - 11:30 |
Talk 10: Some Consequences of the Basis Theorem and James's Construction of Dλ,K (Ch. 4.7 - 4.8) |
Markus Severitt |
| 11:40 - 12:40 |
Talk 11: Definition of Vλ,K and its Properties as a Weyl Module (with focus on the examples) (Ch. 5.1 - 5.2) |
Florian Eisele |
| 12:40 - 13:30 |
Lunch |
|
| 13:30 - 19:00 |
Excursion |
|
| 19:00 |
Dinner (BBQ) |
|
| Thursday |
|
|
| 08:00 - 09:00 |
Breakfast |
|
| 09:00 - 10:00 |
Lecture Series by Steffen Koenig - Part 2 |
|
| 10:00 - 10:30 |
Coffee break |
|
| 10:30 - 11:30 |
Talk 12: The Carter-Lusztig Basis for Vλ,K and some Consequences of the Basis Theorem (Ch. 5.3 - 5.4) |
Yong Jiang |
| 11:40 - 12:40 |
Talk 13: Contravariant Forms and Z Forms on Vλ,K (Ch. 5.5 - 5.6) |
Jesse Burke |
| 12:40 - 13:30 |
Lunch |
|
| 13:30 - 14:30 |
Talk 14: The Functor f and its General Theory (Ch. 6.1 - 6.2) |
Inga Benner |
| 14:40 - 15:40 |
Talk 15: Applications I: Specht Modules and their Duals (Ch. 6.3) |
Lennart Gehrmann |
| 15:40 - 16:10 |
Coffee break |
|
| 16:10 - 17:10 |
Talk 16: Applications II: Irreducible KG(r)-modules in Finite Characteristic (Ch. 6.4) |
Julian Külshammer |
| 19:15 |
Dinner |
|
| Friday |
|
|
| 08:00 - 09:00 |
Breakfast |
|
| 09:00 - 10:00 |
Lecture Series by Steffen Koenig - Part 3 |
|
| 10:00 - 10:30 |
Coffee break |
|
| 10:30 - 11:30 |
Talk 17: Applications III: The Functor f (Ch. 6.5) |
Greg Stevenson |
| 11:40 - 12:40 |
Talk 18: Applications IV: Some Theorems on Decomposition Numbers (Ch. 6.6) |
Julia Sauter |
| 12:40 - 13:30 |
Lunch | |
