Time：14:00-15:00, Wednesday, November 27, 2024
Venue：E4-233
Host: Yigeng Zhao, ITS
Speaker：Yi Liu, BICMR
Biography: Yi Liu is a professor in Beijing International Center for Mathematical Research (BICMR) at Peking University. He received the Ph.D. degree in University of California at Berkeley in 2012. From 2012 to 2015, He was appointed as a Taussky--Todd Instructor in the Mathematics Department at California Institute of Technology. From 2015 to 2020, he was an associated professor in BICMR. He has been a professor in BICMR since 2020. The primary research areas of Yi Liu are 3-manifold topology and hyperbolic geometry.
Title：Recent progress on profinite completion of 3-manifold groups
Abstract: If we know all the finite quotient groups of the fundamental group of a 3-manifold, to what extent can we infer about the 3-manifold itself? This question is closely related to the profinite completion of the fundamental group. In this talk, I will review general facts on this topic, and introduce some progress to the question in recent years.
