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Event Detail

Richard P. Stanley Seminar in Combinatorics: Yuan Yao (MIT)

Wed May 8, 2024 4:15–5:15 PM

Location

Building 2, Room 139

Description

Speaker: Yuan Yao (MIT)Title: Fine Mixed Subdivisions of Dilated SimplicesAbstract: A mixed subdivision is a generalization of zonotope tiling that applies to any Minkowski sums of polytopes. (Fine) mixed subdivisions of dilated simplices have received particular attention in recent years due to their connections to tropical geometry and oriented matroids. In this talk I will introduce some of the backgrounds around these beautiful objects and present some recent results in advancing our understanding of their structures in both the (easier) two-dimensional case and the (much harder) higher-dimensional case. Based on joint works with Derek Liu and Fedir Yudin.
  • Richard P. Stanley Seminar in Combinatorics: Yuan Yao (MIT)
    Speaker: Yuan Yao (MIT)Title: Fine Mixed Subdivisions of Dilated SimplicesAbstract: A mixed subdivision is a generalization of zonotope tiling that applies to any Minkowski sums of polytopes. (Fine) mixed subdivisions of dilated simplices have received particular attention in recent years due to their connections to tropical geometry and oriented matroids. In this talk I will introduce some of the backgrounds around these beautiful objects and present some recent results in advancing our understanding of their structures in both the (easier) two-dimensional case and the (much harder) higher-dimensional case. Based on joint works with Derek Liu and Fedir Yudin.