Resolution and logarithmic resolution via weighted blowings up [NOTE: starts half an hour later than user]

Abstract: [WARNING: this talk starts a half hour after the seminar usually does!]

This lecture combines resolution of singularities, logarithmic geometry and algebraic stacks. I will not assume familiarity neither with resolution of singularities nor with logarithmic geometry. I report on work with Temkin and Wlodarczyk and work of Quek. Resolving singularities in families requires logarithmic geometry. Surprisingly, trying to do this canonically forces us to use stack-theoretic modifications. Surprisingly, stack-theoretic modifications provides an efficient iterative resolution method in which the worst singularities are blown up without regard to the history. Not so surprisingly, to make exceptional divisors cooperate we need logarithmic geometry again.

algebraic geometry

Audience: researchers in the topic

( chat | paper | slides )

Comments: The discussion for Dan Abramovich’s talk is taking place not in zoom-chat, but at tinyurl.com/2020-07-31-da (and will be deleted after 3-7 days).

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Stanford algebraic geometry seminar

Series comments: This seminar requires both advance registration, and a password. Register at stanford.zoom.us/meeting/register/tJEvcOuprz8vHtbL2_TTgZzr-_UhGvnr1EGv Password: 362880

If you have registered once, you are always registered, and can just join the talk. Link for talk once registered: in your email, or else probably: stanford.zoom.us/j/95272114542

More seminar information (including slides and videos, when available): agstanford.com

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