Speaker: Sergey Galkin

Title: Surface and threefold mutations

Date: Jun 15, 2012

Place: Vienna, Nordberggasse

This is a continuation of my talk on June 8. Then I show some motivations to develop a theory of mutations, now I'll develop such theories. Surface mutations. This is joint works with Alexandr Usnich (IPMU 10-0100) and John Alexander Cruz Morales (IPMU 12-0110). We develop two frameworks for mutations of potentials in dimension two - geometric and algebraic (using analogue of upper bounds). Both methods allows us to prove an excessive Laurent phenomenon. Threefold mutations. I will describe our joint experimental work with Mohammad Akhtar, Tom Coates and Al Kasprzyk: in dimension three we construct special birational transformations to connect thousands of distinguished Laurent polynomial into a few webs.

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