Program

TBA
Mattia CAVICCHI (IMB)

On the canonical parabolic subgroup of a reductive group scheme
Marion JEANNIN (ICJ Lyon)
Abstract
Let $k$ be a field and $G$ a reductive group scheme over a smooth projective geometrically connected $k$curve $X$. When $G$ is the twisted form of a constant
reductive group scheme and when $k$ is algebraically closed of characteristic $0$, M. Atiyah and R. Bott defined the canonical parabolic subgroup of $G$.
It is the parabolic subgroup whose Lie algebra is given by the term of the HarderNarasimhan filtration of $\mathrm{Lie}(G)$ (seen as a vector bundle) whose quotient
has slope $0$. In his thesis K. A. Behrend extended this notion to any reductive group scheme over a curve defined over any field. His definition does not
make use of the HarderNarasimhan filtration of $\mathrm{Lie}(G)$. V. B. Mehta and S. Subramanian then showed that M. Atiyah and R. Bott's definition still
makes sense when $k$ is of characteristic $p> 2 \dim(G)$ in the twisted form framework.
In this talk we propose a new proof of this statement which allows to characterise this canonical object as the instability parabolic of a given
nilpotent subalgebra of $\mathrm{Lie}(G)$. The reasoning requires an analogue of Morozov's theorem for nilpotent
Lie algebras and allows to provide a completely uniform proof of M. Atiyah and R. Bott's result, with no restriction on the characteristic.

TBA
Alberto CALABRI (Ferrara)

TBA
Antoine VÉZIER (IF Grenoble)

TBA
Christian URECH (EPFL)

TBA
TBA

TBA
TBA
Tentative Schedule
Thrusday 
Friday 

Talk 4 09:0009:50 
Talk 5 10:1011:00

Talk 6 11:2012:10

Talk 1 15:0015:50 
Picnic 
Talk 2 16:1017:00 
Talk 3 17:3018:20 
Social Buffet 18:45 .. 
Practical Informations
Contacts
If you want to participate or for more information, please contact:
Ronan TERPEREAU .
Local Organizers
Ronan Terpereau & Adrien Dubouloz