Jacobi algebras on the two-loop quiver and applications

Abstract: I will explain recent progress on classifying finite dimensional Jacobi algebras on the two loop quiver. This is a purely algebraic problem, which at first sight is both seemingly hopeless and seemingly detached from any form of reality or wider motivation. There are two surprises: first, the problem is not hopeless, and parts of the answer are in fact very beautiful. Second, this has immediate and surprising consequences to both 3-fold flops and 3-fold divisor-to-curve contractions, their curve invariants and their conjectural classification. This is joint work with Gavin Brown.

algebraic geometrycombinatorics

Audience: researchers in the topic

( slides )

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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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