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TOBLACH - DOBBIACO AUGUST 28th SEPTEMBER 8th 2017 |
SUMMER SCHOOL on FINITE GROUPS AND RELATED GEOMETRICAL STRUCTURES |
| HOME SCHOOL 2017 HOMEPAGE LECTURERS PROGRAMME PLACES GETTING THERE ACCOMMODATION PARTICIPANTS SPONSORS CONTACTS & REGISTRATION PHOTOS 2017 TOBLACH - DOBBIACO |
PROGRAMME Week 1. Joint lectures by Donna Testerman and Gunter Malle on . Linear Algebraic groups 1.
Basic concepts
2. Jordan decomposition 3. Commutative linear algebraic groups 4. Connected solvable groups 5. G-spaces and quotients 6. Borel subgroups 7. The Lie algebra of a linear algebraic group 8. Structure of reductive groups 9. Classification of semisimple algebraic groups 10. Bruhat decomposition and parabolic subgroups Week 2. Course 1. Lectures by Donna Testerman on . Subgroup structure and representation theory of semisimple algebraic groups topics to be chosen from the following list 1. Representation theory 2. Naturally defined subgroups and the Borel-Tits theorem 3. Maximal subgroups of the classical algebraic groups 4. Maximal subgroups of the exceptional algebraic groups 5. G-complete reducibility 6. Lifting homomorphisms from finite to algebraic groups Course 2. Lectures by Gunter Malle on Subgroup structure and maximal subgroups of finite groups of Lie type topics to be chosen from the following list 1. Centralizers of semisimple elements 2. Frobenius morphisms 3. Sylow subgroups 4. Maximal subgroups of classical groups: the theorem of Aschbacher 5. The class S 6. Maximal subgroups of exceptional groups Beginning: Monday, 28th August, 2017 at 9.30am. End: Friday, 8th September 2017 at 1.00pm. Day schedule from Monday 28th August to Thursday 7th September: 9.30am - 11.00am: Lecture 1 11.00am - 11.30am: Break 11.30am - 1.00pm: Lecture 2 Day schedule on Friday 8th September: 9.00am - 10.30am: Lecture 1 10.30am - 11.00am: Break 11.00am - 12.30am: Lecture 2 Class problem sections on Wednesday, August 30th, Friday, September 1th, Monday, September 4th, and Wednesday September 6th with the following schedule: 15.30pm - 16.30pm: Class problem section 1 16.30pm - 17.00pm: Break 17.00pm - 18.00pm: Class problem section 2 Course Banquet on Thursday, September 7th |