题 目 Frobenius splitting on Dist G
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 Let G be a simple algebraic group over a field of positive characteristic, B a Borel subgroup of G, and F the Frobenius morphism on the flag variety B = G/B. A splitting of the comorphism F#:OB→F*OB via a→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 Dist G on G. This is joint work with Michel Gros.