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目 Frobenius splitting on DistG

报告人 日本大阪市立大学数学系 兼田正治教授

日 期 2011年4月26日(星期二)下午4:30-5:30

地 点 致远楼102室

摘 要 LetGbe a simple algebraic group over a field of positive characteristic,Ba Borel subgroup ofG, andFthe Frobenius morphism on the flag variety B =G/B. A splitting of the comorphismF#:OB→F*OBviaa→ap, due to Mehta and Ramanathan, marked a breakthrough in the study of the geometry of B regardless of characteristic. We will describe a construction of a splitting of the Frobenous morphism on the algebra of distributions DistGonG. This is joint work with Michel Gros.