Abstract: I will present my recent work on harmonic functions over manifolds with non-negative Ricci curvature. I will try to tell the main line of the story about the harmonic functions on manifolds since Yau's work, and explain the intuitive idea behind the proof of our main results （including the existence of nontrivial harmonic functions of polynomial growth, the uniform bound of the frequency of those harmonic functions）. And suitable technical stuff will presented, but elementary differential geometry and PDE knowledge is enough for understanding most part of the talk.

Time: 10:10am-12:00pm, Tuesday, Dec. 02

Place: Room 29, Quan Zhai, BICMR

Speaker: Dr. XU Guoyi, Tsinghua University