Danil Kozevnikov (Edinburgh): Lagrangian skeleta of very affine complete intersections
Abstract: In this talk, I will present some new results about skeleta of complete intersections inside (C*)^n. I will start by briefly reviewing the Batyrev-Borisov mirror construction, which uses combinatorial dualities between lattice polytopes to produce mirror pairs of Calabi-Yau complete intersections in Fano toric varieties. The main focus of the talk will be open Batyrev-Borisov complete intersections (BBCIs), which are Liouville manifolds obtained by removing the toric boundary in the Batyrev-Borisov construction. I will explain how one can use tropical geometry to compute Lagrangian skeleta of open BBCIs and decompose them into pieces mirror to certain toric varieties, which leads to a proof of homological mirror symmetry (generalising the work of Gammage-Shende and Zhou in the case of hypersurfaces).
More information on the GT seminar website
Please note that the seminar for this term will be taking place in other location than usual: Sherfield Building, Seminar and Learning Centre 5th floor, room 10.