Geometry and Combinatorics Seminar (Math) - R. van der Veer
Speaker: Robin van der Veer (KU Leuven, Belgium)
"MLE, tropical geometry and slopes of Bernstein-Sato ideals"
Let XX be a smooth subvariety of a complex torus. For general data vectors the MLE problem on XX has exactly |χ(X)||χ(X)| solutions. We investigate what happens to these solutions when the data vector approaches a non-general value. Assuming that XX is schön we relate this behaviour to special rays in the tropical variety of XX. We also explain how the non-general data vectors are related a Bernstein-Sato ideal associated to X. Based on joint work with Anna-Laura Sattelberger.
https://scholar.google.be/citations?user=7h04QicAAAAJ&hl=en