University of Birmingham > Talks@bham > Geometry and Mathematical Physics seminar > (Open) Mirror Symmetry for the function x^r.

(Open) Mirror Symmetry for the function x^r.

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If you have a question about this talk, please contact Andrea Brini.

Mirror Symmetry provides a link between different suites of data in geometry. On one hand, one has a lot of enumerative data that is associated to curve counts, telling you about important intersection theory in an interesting moduli problem. On the other, one has a variation of Hodge structure, that is, complex algebro-geometric structure given by computing special integrals. We will tie these two together for the function xr. In this case, the latter is a cute gadget that requires first-year mathematics, but the former is a beautiful geometric problem in what is now called quantum singularity theory [NB: the Wikipedia for “quantum singularity” is not useful but entertaining nonetheless]. If time permits, we will go to the very complicated function xr + y^s .

This talk is part of the Geometry and Mathematical Physics seminar series.

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