USNA Pure Mathematics Seminar
Speaker:
Pablo Lejarraga
USNA
Title:
Smoothness properties of the variety of Borels in relative position
Abstract:
Let G be a connected reductive group defined over
and algebraically closed field, T a fixed Cartan,
B a fixed Borel containing T,
S a set of simple reflections associated to the
simple positive roots corresponding to (T,B),
and let X denote the Borel variety.
For any si in in S, let
O(s0, ... , sn)=
{(B0, ... ,Bn) in Xn+1 |
(Bi-1,Bi) in O(si) for all i },
where O(s) denotes the subvariety of pairs of Borels in
X2 in relative position s.
We show that such varieties are smooth.
Our main results hold in any characteristic.
This is joint work with D. Joyner.
Time: 3:45pm, Thursday April 10, 2003
Place: Chauvenet 201
Reception at 3:30 in the common room on the 3rd floor of Chauvenet
Hall.