High energy estimates and the Labourie conjecture
演讲者
Peter Smillie
时间
2024年09月03日 14:30 至 16:30
地点
A7-201
摘要
High energy harmonic maps to symmetric spaces look almost everywhere like harmonic maps into flats. I will first describe how we used a theorem of Mochizuki to that effect in order to find unstable minimal surfaces in locally symmetric spaces of rank at least three, thereby disproving the remaining cases of a conjecture of Labourie. This will then motivate some recent work removing the `generically regular semisimple' hypothesis from Mochizuki's theorem. This is all joint work with Nathaniel Sagman.