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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Advancement to Candidacy
Jasper Bird
UCSD
Resolving toric singularities by normalized Nash blowups
Abstract:
Hironaka's theorem states that every algebraic variety over a field of characteristic zero admits a resolution, however the algorithm to do so is very complex. It was conjectured by Nash that repeated Nash blowups (which replace each singular point by limiting positions of tangent spaces at nonsingular points) might provide a simple way to resolve. I plan to investigate the case of toric varieties.
Advisor: James McKernan
May 6, 2020
5:00 PM
https://ucsd.zoom.us/j/96239446945
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