More efficient algorithms using stack-theoretic weighted blow-ups

by David Rydh (Stockholm)

Wednesday 10 May 2023, 16:00 → 17:00 Europe/Rome

Aula Mancini (Scuola Normale Superiore)

Abramovich, Temkin and Wlodarczyk has recently given an easier and more efficient algorithm for resolution of singularities using stack-theoretic weighted blow-ups. Weighted blow-ups generalize root stacks and ordinary blow-ups but are far more flexible. I will give a description of weighted blow-ups and outline how they give easier and more efficient algorithms, also for other problems such as destackification and weak factorization.