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比利时vs摩洛哥足彩 ,
university of california san diego

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joint differential geometry seminar

ved datar

hermitian-yang-mills connections on collapsing k3 surfaces

abstract:

let $x$ be an elliptically fibered k3 surface with a fixed $su(n)$ bundle $\mathcal{e}$. i will talk about degenerations of connections on $\mathcal{e}$ that are hermitian-yang-mills with respect to a collapsing family of ricci flat metrics. this can be thought of as a vector bundle analog of the degeneration of ricci flat metrics studied by gross-wilson and gross-tosatti-zhang. i will show that under some mild conditions on the bundle, the restriction of the connections to a generic elliptic fiber converges to a flat connection. i will also talk about some ongoing work on strengthening this result. this is based on joint work with adam jacob and yuguang zhang.

organizers: uci-ucr-ucsd

may 8, 2018

4:40 pm

ucr surge 284

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