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SEMINARS
Toric complete intersections and Laurent inversion
时间  Datetime
2018-11-29 14:00 — 15:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Thomas Prince
单位  Affiliation
University of Oxford
邀请人  Host
费佳睿
报告摘要  Abstract

In higher dimensions we do not have such a good structure theory. However we do have fairly general techniques for constructing Fano manifolds from polytopes. In the first part of this talk we describe joint work with Coates and Kasprzyk in which we find 527 'new' Fano fourfolds, as toric complete intersections and identify Laurent polynomial mirrors. In the second part we explain an algorithm, `Laurent inversion', which we can use as a general tool for constructing Fano manifolds by first embedding toric Fano manifolds in a bigger one and testing its deformations explicitly.