科学研究
报告题目:

Nondivergence of reductive group actions on homogeneous spaces

报告人:

张涵 (清华大学)

报告时间:

报告地点:

腾讯会议 ID:180 540 406

报告摘要:

Let $G/\Gamma$ be the quotient of a semisimple Lie group $G$ by its arithmetic lattice. Let $H$ be a reductive algebraic subgroup of $G$ acting on $G/\Gamma$. The question we are interested in is whether there is a compact set of $G/\Gamma$ that intersects every H-orbit.

We show that the failure of this can be explained by a single algebraic reason, which generalizes several previous results towards this question. We also obtain a way to find this algebraic obstruction, if there is any.

This talk is based on joint work with Runlin Zhang.

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