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Toric degenerations of Fano varieties and connections with mirror symmetry


Speaker: Nathan Ilten, UC Berkeley
Location: 2112 MSB
Start time: Tue, Mar 12 2013, 3:10PM

Fano varieties are objects of fundamental importance in algebraic geometry. One variation of mirror symmetry posits a correspondence between smooth Fano varieties and certain special Laurent polynomials. This correspondence is conjecturally connected to the existence of toric degenerations of Fano varieties.

I will give an introduction to Fano varieties, and describe my own contributions relating toric degenerations to this correspondence.