2019
May
13

# NT & AG Seminar: "A dream desingularization algorithm", Michael Temkin (HU)

2:30pm to 4:00pm

## Location:

Ross 70

Abstract: Any birational geometer would agree that the best algorithm

for resolution of singularities should run by defining a simple invariant of

the singularity and iteratively blowing up its maximality locus.

The only problem is that already the famous example of Whitney umbrella

shows that this is impossible, and all methods following Hironaka had

to use some history and resulted in more complicated algorithms.

Nevertheless, in a recent work with Abramovich and Wlodarczyk we did

for resolution of singularities should run by defining a simple invariant of

the singularity and iteratively blowing up its maximality locus.

The only problem is that already the famous example of Whitney umbrella

shows that this is impossible, and all methods following Hironaka had

to use some history and resulted in more complicated algorithms.

Nevertheless, in a recent work with Abramovich and Wlodarczyk we did