Masur's criterion does not hold in the Thurston metric 图片

Time：2023-10-10, TUESDAY 16:00-17:00

Venue：Shuangqing Complex, C654 ； Zoom meeting ID: 405 416 0815 Pw: 111111

Organizer：陈伟彦，高鸿灏，黄意，江怡，林剑锋

Speaker：Ivan TELPUKHOVSKIY (YMSC)

Abstract：

Masur proved that if a Teichmüller geodesic is recurrent in the moduli space then it has a uniquely ergodic vertical foliation. This is a basic result in Teichmüller dynamics. However, it was shown that an analogue of Masur's criterion is not true in the Weil-Petersson metric (Brock-Modami) and in the Thurston metric (T.).

In the talk, I will explain why it fails in the Thurston metric. Along the way we will discuss how to combinatorially construct minimal geodesic laminations on the surface that are not uniquely ergodic.

DATEOctober 10, 2023

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