UBC Discrete Math Seminar: Elizabeth Xiao

  • Date: 12/06/2022
Elizabeth Xiao, UBC

University of British Columbia


On the anisotropy theorem of Papadakis and Petrotou


Papadakis and Petrotou showed that anisotropy of a quadratic form implies the Hard Lefschetz theorem for simplicial spheres in characteristic 2. In this talk, I will explain how we used an integration map to define a mixed volume on spheres, which is linear over a connected sum decomposition. Using this decomposition, we explicitly describe the quadratic form and prove an additional combinatorial conjecture of Papadakis and Petrotou. This is joint work with Kalle Karu.

Other Information: 

Location: ESB 4127


Time: 4pm PacificĀ