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M-Seminar: Enumerative invariants from categories

Speaker: Lino Amorim (Kansas State University)

Abstract: Kontsevich suggested that enumerative predictions of Mirror Symmetry should follow directly from Homological Mirror Symmetry. This requires a natural construction of analogues of Gromov-Witten invariants associated to any dg or A-infinity Calabi-Yau category (with some extra choices). I will discuss two approaches to this construction: 1) categorical primitive forms, a non-commutative version of Saito's theory of primitive forms for singularities, which gives only genus zero invariants; 2) Costello's enumerative invariants which conjecturally give invariants in all genera.

Wednesday, February 1 at 3:30pm to 5:00pm

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