AMS Summer Institute in Algebraic Geometry is underway in Seattle. It’s a mammoth three-week conference on algebraic geometry. The first week is dedicated to the unlikely connections that have emerged between algebraic geometry and string theory.
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Are these ‘unlikely connections’ old things from decades ago or very recent stuff? String Theory has been tightly connected to Algebraic Geometry for as long as I remember. For example the fact that String theory prefers to live in certain dimensions (eg. 26 for bosonic strings) comes straight from the Grothendieck-Riemann-Roch theorem.
It’s new, I think. Aren’t Gromov-Witten invariants fairly new?