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        "description":"From the perspective of the Gross-Siebert program, the mirror symmetry of Calabi-Yau varieties is governed by certain canonical bases for the sections of the powers of an ample line bundle on a degeneration. It is expected that the pairing between these basis elements and valuations in the essential skeleton satisfies an independence condition, similar to the pairing between monomials and monomial valuations on a toric variety. In this talk, I will explain how tools from birational geometry and K-stability can be used to construct bases that fulfill this condition. This is joint work with Yuchen Liu.",
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        "description":"Given a circle action S on a projective variety X, we introduce the \"stable map quotient\" using Kontsevich's space of stable maps of curves. In the case that X is a Richardson variety (the intersection of a Schubert with an opposite Schubert variety), generally very singular, the quotient is nonetheless smooth! I'll use this to give a log resolution of Richardson varieties, and describe the dual simplicial complex to the anticanonical sncd boundary.",
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