Time：14:00-15:00, Wednesday, November 8 2023
Venue：E4-233
Speaker：Binggang Qu, BICMR
Title：Arakelov geometry on flag varieties over function fields
Abstract：
Let $k$ be an algebraically closed field of characteristic $0$ and $C/k$ be a curve with function field $K=k(C)$. Let $G/P$ be a flag variety over $K$, we consider height functions on $G/P$ induced by models that come from principal bundles on $C$. We compute successive minima and height filtration on $G/P$, in particular we show that the height filtration is given by a Bruhat decomposition. This is joint work in progress with FAN Yangyu and LUO Wenbin.
