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Geometry Colloquium
Seminar information archive ～04/19｜Next seminar｜Future seminars 04/20～
| Date, time & place | Friday 10:00 - 11:30 126Room #126 (Graduate School of Math. Sci. Bldg.) |
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2015/07/03
10:00-11:30 Room #126 (Graduate School of Math. Sci. Bldg.)
Takayuki OKUDA (HIroshima University)
Proper actions of reductive groups on pseudo-Riemannian symmetric spaces and its compact dual. (日本語)
Takayuki OKUDA (HIroshima University)
Proper actions of reductive groups on pseudo-Riemannian symmetric spaces and its compact dual. (日本語)
[ Abstract ]
Let G be a non-compact semisimple Lie group. We take a pair of symmetric pairs (G,H) and (G,L) such that the diagonal action of G on G/H \times G/L is proper. In this talk, we show that by taking ``the compact dual of triple (G,H,L)'', we obtain a compact symmetric space M = U/K and its reflective submanifolds S_1 and S_2 satisfying that the intersection of S_1 and gS_2 is discrete in M for any g in U. In particular, we give a classification of such triples (G,H,L).
Let G be a non-compact semisimple Lie group. We take a pair of symmetric pairs (G,H) and (G,L) such that the diagonal action of G on G/H \times G/L is proper. In this talk, we show that by taking ``the compact dual of triple (G,H,L)'', we obtain a compact symmetric space M = U/K and its reflective submanifolds S_1 and S_2 satisfying that the intersection of S_1 and gS_2 is discrete in M for any g in U. In particular, we give a classification of such triples (G,H,L).
