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Hyungryul Baik, Limits of Canonical Metrics in Low-dimensions

January 28 @ 11:00 am - 12:00 pm KST

B266, IBS Korea, Republic of


For a tower of finite normal covers of graphs or surfaces, one can consider a sequence of metrics on the base given by pull-back of canonical metric of the covers. We show that such a sequence has a limit and it depends only on the cover approximated by the tower up to scaling. The case of compact Riemann surface where the tower approximates the universal cover is due to Kazhdan. In this talk, I will explain why one might be interested in such a problem, give a brief introduction to the main tool – L2-theory, and discuss some future directions. This talk is based on a joint work with Farbod Shokrieh and Chenxi Wu.


January 28
11:00 am - 12:00 pm KST
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IBS Korea, Republic of


Jaehyun Hong
IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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