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Seminar on Geometric Complex Analysis
Seminar information archive ～05/08｜Next seminar｜Future seminars 05/09～
| Date, time & place | Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2015/12/07
10:30-12:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Tatsuki Hayama (Senshu Univ.)
Cycle connectivity and pseudoconcavity of flag domains (Japanese)
Tatsuki Hayama (Senshu Univ.)
Cycle connectivity and pseudoconcavity of flag domains (Japanese)
[ Abstract ]
We consider an open real group orbit in a complex flag variety which has no non-constant function. We introduce Huckleberry's results on cycle connectivity and show that it is pseudoconcave if it satisfies a certain condition on the root system of the Lie algebra. In Hodge theory, we are mainly interested in the case where it is a Mumford-Tate domain. We also discuss Hodge theoretical meanings of this work.
We consider an open real group orbit in a complex flag variety which has no non-constant function. We introduce Huckleberry's results on cycle connectivity and show that it is pseudoconcave if it satisfies a certain condition on the root system of the Lie algebra. In Hodge theory, we are mainly interested in the case where it is a Mumford-Tate domain. We also discuss Hodge theoretical meanings of this work.
