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Floppy symmetries of derived categories

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If you have a question about this talk, please contact Alexis Marchand.

If you ask your friends about flops they might talk about post-Endgame Marvel movies, Doctor Who series 11 – 13 or Cats (2019). However, if you are unlucky enough to have an algebraic geometer as a friend, you might end up hearing about codimension 2 birational modifications instead. Unfortunately, only one of the aforementioned flops produces autoequivalences of a derived category.

I will talk about threefold flops with a single flopping curve and their classification, the associated autoequivalences, and throw in some mirror symmetric ideas like the Stringy Kähler Moduli Space for good measure.

This talk is part of the Junior Geometry Seminar series.

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