What is an exoflop?

Abstract: Aspinwall stated in 2014 that an exoflop "occurs in the gauged linear sigma-model by varying the Kähler form so that a subspace appears to shrink to a point and then reemerge 'outside' the original manifold." This description may be intangible at first for us to sink our hands into but it turns out to be a great concrete technique that relates to many things we care about as algebraic geometers! We will interpret it in this talk. I will explain in toric geometry concretely what this means for us. Afterwards, I will explain why it’s yet another reason we should listen to our string theoretic friends. Namely, I hope to have enough time to explain how it gives us applications in mirror symmetry and derived categories. Exoflops are a recurring character in my joint work with David Favero (Alberta), Chuck Doran (Alberta), and Dan Kaplan (Birmingham).

algebraic geometrycombinatorics

Audience: researchers in the topic

( video )

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Online Nottingham algebraic geometry seminar

Series comments: Online geometry seminar, typically held on Thursday. This seminar takes place online via Microsoft Teams on the Nottingham University "Algebraic Geometry" team.

For recordings of past talks, copies of the speaker's slides, or to be added to the Team, please visit the seminar homepage at: kasprzyk.work/seminars/ag.html

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