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A proof of the Donaldson-Thomas crepant resolution conjecture

Structures in Enumerative Geometry March 19, 2018 - March 23, 2018

March 19, 2018 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Jørgen Rennemo (University of Oslo)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



: Let X be a Calabi-Yau 3-dimensional orbifold, and let Y be a crepant resolution of the coarse moduli space of X. When X satisfies the "hard Lefschetz condition" (that is, when the fibres of the resolution are at most 1-dimensional), the DT crepant resolution conjecture of Bryan-Cadman-Young gives a precise relation between the DT curve counts of X and Y. I will explain a proof of this conjecture via wall crossing and the motivic Hall algebra. This is joint work with Sjoerd Beentjes and John Calabrese.

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