比利时vs摩洛哥足彩
,
university of california san diego
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math 258 - differential geometry seminar
dr. riccardo caniato
california institute of technology
variations of the yang-mills lagrangian in high dimension
abstract:
in this talk we will present some analysis aspects of gauge theory in high dimension. first, we will study the completion of the space of arbitrary smooth bundles and connections under l^2-control of their curvature. we will start from the classical theory in critical dimension and then move to the supercritical dimension, making a digression about the so called “abelian” case and thus showing an analogy between p-yang-mills fields on abelian bundles and a special class of singular vector fields. in the last part, we will show how the previous analysis can be used in order to build a schoen-uhlenbeck type regularity theory for yang-mills fields in supercritical dimension.
hosts: davide parise and luca spolaor
may 30, 2024
11:00 am
apm 7321
research areas
differential equations geometric analysis geometry and topology****************************
