Thu, September 24, 2020
Public Access


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10:00am [10:30am] Dr. Brett Parker, Monash University.
Description:
Speaker: Dr. Brett Parker, Monash University. Time: 10:30 AM, IST, 24 September 2020 (gate open: 10:20 AM). Google meet link: meet.google.com/qeh-paqu-yaq. ‪Phone: (US) +1 276-796-8106‬ PIN: ‪654 044 511‬#. Title: Tropical counts of Gromov-Witten invariants in dimension 3. Abstract: Tropical curves appear when we study holomorphic curves under certain degenerations, or relative to normal-crossing divisors. In many cases, there is a correspondence between counting tropical curves and Gromov邑itten invariants. In complex dimension 3, this correspondence has the wonderful feature that each tropical curve corresponds to Gromov邑itten invariants counting curves in all genus. I will illustrate some examples of this correspondence, including some interesting examples counting Gromov-Witten invariants in log Calabi-Yau manifolds, where our tropical curves live in a 3 dimensional integral affine space with singularities along a 1-dimensional locus.

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