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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.