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Filling a few holes in the classical resolution of singularities

Event Category:
Valley Geometry Seminar
Michael Temkin
The Hebrew University of Jerusalem

" this field, almost everything is already discovered, and all that remains is to fill a few unimportant holes." Philipp von Jolly in his recommendation to Max Planck not to go into physics.

Since 2015 I am taking part in a long project (more precisely, a series of projects) with Dan Abramovich and Jarek Wlodarczyk on resolution of singularities in characteristic zero - a field which was (and sometimes still is) considered as accomplished up to a few unimportant holes. To our surprise it turned out that there were (and still are) quite a few fundamental things to discover in this classical and thoroughly explored field, and the new discoveries even provide a more conceptual view on what was known before we started our project. It is impossible to compress all results of this journey in one talk, but I will try to outline a unified view on most of our discoveries in these projects. If time permits in the end I will also say a couple of words about our new project in progress with Andre Belotto - still in characteristic zero...

Friday, September 22, 2023 - 4:00pm
LGRT 1681