Algebraic and Arithmetic Geometry Seminar

More efficient algorithms using stack-theoretic weighted blow-ups

by David Rydh (Stockholm)

Aula Mancini (Scuola Normale Superiore)

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.