Speaker:
Elizabeth Xiao
Speaker Affiliation:
UBC

December 6, 2022

ESB 4127
Vancouver, BC

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Abstract:

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.

Event Topic:

Discrete mathematics

Event Details

December 6, 2022

4:00pm

ESB 4127

Vancouver, BC, CA

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• Seminars