Speaker: Jinxuan Chen
University of Notre Dame
Will give a PhD Defense entitled:
Bounding Shortest Closed Geodesics with Diameter on Compact 2-Dimensional Simply-Connected Orbifolds
Abstract: Length bounded sweepouts give a way to bound the length of the shortest closed geodesic of a closed manifold. In this paper, we generalized to the case of simply- connected compact 2-dimensional orbifolds as well as compact 2-dimensional orbifolds with finite orbifold fundamental groups. We proved an inequality for the length of the shortest closed orbifold geodesic in terms of the diameter.
Date: 04-04-2024
Time: 2:00 pm
Location: 330 DeBartolo Hall