Hebrew University topology and geometry seminar

June 8, 2016
Ross building, Seminar Room 70A

Ailsa Keating

Columbia University

Homological Mirror Symmetry for singularities of type $T_{p,q,r}$

Abstract: We present some homological mirror symmetry statements for the singularities of type $T_{p,q,r}$. Loosely, these are one level of complexity up from so-called 'simple' singularities, of types A, D and E. We will consider some symplectic invariants of the real four-dimensional Milnor fibres of these singularities, and explain how they correspond to coherent sheaves on certain blow-ups of the projective space $\mathbb{P}^2$, as suggested notably by Gross-Hacking-Keel. We hope to emphasize how the relations between different ``flavours" of invariants (e.g., versions of the Fukaya category) match up on both sides.