Scuola Normale Superiore, Aula Mancini.
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.
Further information is available on the event page on the Indico platform.