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UID:3416a978160d95bc5bc904632da4bc41
CATEGORIES:Geometric Analysis Seminar, Gauge Theory Learning Seminar
CREATED:20240214T103353
SUMMARY:BOUNDARY VALUE PROBLEMS FOR YANG-MILLS AND YANG-MILLS-HIGGS FIELDS
LOCATION:Hill 705 and Zoom
DESCRIPTION:Abstract. The aims of this talk are to motivate the study of boundary value
problems in non-abelian gauge theories over compact Riemannian manifoldswit
h boundary, in light of the possible different applications to the fieldsof
geometric analysis and mathematical physics (in particular, in quantumfiel
d theory), and to define a range of well-posed boundary value problems,anal
yzed in comparison to other contexts, such as that of harmonic maps,H-surfa
ce equations, and with possible applications to the study of the non-linear
sigma model. A Morse theory for the Yang-Mills Dirichlet problem isoutline
d. This talk includes results derived by the author, individually andcollab
oratively, over the course of many years1.\n \n1precisely, with T. Isobe, o
n the existence of local minima and min-max-type solutions,with V. Moncrief
and R. Maitra, for applications to QFT, with T. Otway, to frame thoseresul
ts in the context of a nonlinear Hodge-de Rham theory.\n \n \n
X-ALT-DESC;FMTTYPE=text/html:Abstract. The aims of this talk are to motivate the study of
boundary value
problems in non-abelian gauge theories over compact Riem
annian manifolds
with boundary, in light of the possible different appl
ications to the fields
of geometric analysis and mathematical physics (
in particular, in quantum
field theory), and to define a range of well-
posed boundary value problems,
analyzed in comparison to other contexts
, such as that of harmonic maps,
H-surface equations, and with possible
applications to the study of the non-
linear sigma model. A Morse theo
ry for the <
span role="presentation" dir="ltr" style="left: 451.659px; top: 379.825px;
font-size: 15.9403px; font-family: sans-serif;">Yang-Mills Dirichlet proble
m is
outlined. This talk includes
results derived by the author, individually and
collaboratively, over t
he course of many years1.
1precisely, with T. Isobe, on the
existence of local minima and min-max-type solutions,
with V. Moncrief
and R. Maitra, for applications to QFT, with T. Otway, to frame those
results in the context of a nonlinear Hodge-de Rham theory.
CONTACT:Antonella Marini (Yeshiva University)
DTSTAMP:20260828T164130
DTSTART;TZID=America/New_York:20240220T145000
DTEND;TZID=America/New_York:20240220T155000
SEQUENCE:0
TRANSP:OPAQUE
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