Abstract: Our work "A Lie theoretical construction of a Landau-Ginzburg model without projective mirrors" with Barmeier, Ballico, Grama, San Martin gives the example LG2 of a Symplectic Lefschetz fibration without projective mirrors. This means that there does not exist any projective variety whose derived category of coherent sheaves is equivalent to Fuk(LG2). I will describe how to use the Gross-Siebert recipe to obtain an algebraic mirror for LG2.
This will be a hybrid seminar. All are very welcome to join either online or in person (if provided with a green pass). VENUE: Luigi Stasi seminar room.