Positively ratioed representations

来源 :2016数学青年学者论坛(2016 Young Mathematician Forum) | 被引量 : 0次 | 上传用户:aote_jeanny
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  Let S be a closed orientable surface of genus at least 2,and let G be a semisimple Lie group of non-compact type.Positively ratioed representations are Anosov representations from the fundamental group of S to G,that satisfy an additional cross ratio condition.In this talk,I will explain what are positively ratioed representations,give examples of such representations,and explain a systolic inequality that we proved using geodesic currents.This is joint work with Giuseppe Martone.
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