Friday, October 14, 2022
Time | Items |
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All day |
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10am |
10/14/2022 - 10:30am A relaxed-pace seminar on impromptu subjects related to the interests of the audience. Everyone is welcome. The subjects are geometry, probability, combinatorics, dynamics, and more! Location:
LOM 205
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12pm |
10/14/2022 - 12:00pm A graph is called geodetic if there is a unique shortest path between any two vertices (i.e - a geodesic). Ore (’62) sought to characterize such graphs, and despite a considerable body of work on this problem - a characterization is surprisingly elusive. In this talk we introduce the idea of viewing graphs from a geometric perspective and survey its connections to the problem of classification. In particular, we review some known classifications and constructions of geodetic graphs, and show that such graphs must be of relatively high connectivity. This talk is based on joint work with Nati Linial. Location:
LOM
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2pm |
10/14/2022 - 2:00pm Abstract: A free boundary minimal surface (FBMS) in the three-dimensional Euclidean unit ball is a critical point of the area functional with respect to variations that constrain its boundary to the boundary of the ball (i.e., the unit sphere). A very natural question is whether there are FBMS in the unit ball of any given topological type. In this talk, we will present the construction of a family of FBMS with connected boundary and arbitrary genus, via an equivariant version of Almgren-Pitts min-max theory à la Simon-Smith. We will see how this method allows us to control the topology of the resulting surface and also to obtain information on its index. Location:
LOM 215
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