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Speaker:

W. Donovan
Date:

Thu, 2015-03-12 15:00 - 16:00
Location:

MPIM Lecture Hall
Parent event:

MPI-Oberseminar Rational curves on complex 3-folds are a rich source of geometric interest. I will discuss a new approach to their birational and enumerative geometry, joint with M. Wemyss. We associate an associative (not necessarily commutative) algebra of deformations to suitable such curves, and use this algebra to understand birational modifications of the 3-fold, and investigate the structure of its derived category. The algebra may be viewed as an enhanced invariant of the curve, unifying and generalising other classical invariants.

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