Event Detail

Event Type: 
Geometry-Topology Seminar
Monday, October 24, 2022 - 12:00 to 12:50
Kidd 237 and Zoom. Please contact Christine Escher for a link.

Speaker Info

University of Delaware

Healthy pollinator communities are critical for biodiversity and agriculture. Records of interactions between plant and pollinator species provide a snapshot of the underlying plant-pollinator networks. Knowledge of the network topology has the potential to reveal community properties such as openness to admitting additional species. Resource complexes provide a natural representation of this class of network. They encode high-dimensional interactions, and we extend from binary models to filtrations that account for varying interaction strengths. In this talk we will focus on the process of constructing resource complexes and obtaining topological summaries. We'll end with a demonstration of these methods on real interaction datasets. The current work extends foundations by Sugihara with an emphasis on topological persistence and new data.