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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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university of california san diego
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math 258: seminar in differential geometry
dr. aria halavati
courant institute
decay of excess for the abelian higgs model
abstract:
entire critical points of the abelian higgs functional are known to blow down to generalized minimal submanifolds (of codimension 2). in this talk we prove an allard type large-scale regularity result for the zero set of solutions. in the "multiplicity one" regime, we show the uniqueness of blow-downs and classify entire solutions in low dimensions and minimizers in all dimensions; thus obtaining an analogue of savin's theorem in codimension two. this is based on a joint work with guido de philippis and alessandro pigati.
october 31, 2024
1:00 pm
apm 7321
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