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Lie Groups and Representation Theory
Seminar information archive ～05/02｜Next seminar｜Future seminars 05/03～
| Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
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2024/11/27
14:30-15:30 Room #122 (Graduate School of Math. Sci. Bldg.)
Joint with FJ-LMI seminar
Ali BAKLOUTI (University of Sfax)
A proof of the Zariski closure conjecture for coadjoint orbits of exponential Lie groups (English)
Joint with FJ-LMI seminar
Ali BAKLOUTI (University of Sfax)
A proof of the Zariski closure conjecture for coadjoint orbits of exponential Lie groups (English)
[ Abstract ]
I will begin by defining the Zariski Closure Conjecture for coadjoint orbits of exponential solvable Lie groups, examining some cases that have been solved, and addressing the ongoing challenges in resolving the conjecture fully. I will then introduce new approaches to explore the relationship between generating families of primitive ideals and the set of polynomials that vanish on the associated coadjoint orbits, ultimately aiming to advance toward a solution to the conjecture.
I will begin by defining the Zariski Closure Conjecture for coadjoint orbits of exponential solvable Lie groups, examining some cases that have been solved, and addressing the ongoing challenges in resolving the conjecture fully. I will then introduce new approaches to explore the relationship between generating families of primitive ideals and the set of polynomials that vanish on the associated coadjoint orbits, ultimately aiming to advance toward a solution to the conjecture.
