Mutations and Fano Varieties

Add to your list(s) Download to your calendar using vCal

• Mohammad Akhtar (Imperial)
• Thursday 21 February 2013, 14:00-15:00
• MR9.

If you have a question about this talk, please contact John Ottem.

This talk is an introduction to the theory of mutations. We will discuss two closely related viewpoints on the subject: the algebraic approach interprets mutations as birational transformations, and is concerned with their action on Laurent polynomials. The combinatorial approach sees mutations as operations on lattice polytopes, and allows one to construct deformations of the corresponding toric varieties. We will explain the role played by algebraic mutations in the program to classify Fano 4-folds. We also discuss recent results concerning combinatorial mutations of weighted projective surfaces.

The contents of this talk are joint work with Tom Coates, Alexander Kasprzyk and Sergey Galkin.

This talk is part of the jco28's list series.

This talk is included in these lists:

• All CMS events
• MR9
• bld31

Note that ex-directory lists are not shown.