Viktor Enolskii (IM (Kiev, Ukrania),I H-W (Edunburg, UK) ): Algebraic geometric background of the charge 3 monopoles the Yang-Mills-Higgs theory.
- https://dynamicalsystems.upc.edu/ca/esdeveniments/congressos/seminari-de-sistemes-dinamics-ub-upc/viktor-enolskii-im-kiev-ukrania-i-h-w-edunburg-uk-algebraic-geometric-background-of-the-charge-3-monopoles-the-yang-mills-higgs-theory
- Viktor Enolskii (IM (Kiev, Ukrania),I H-W (Edunburg, UK) ): Algebraic geometric background of the charge 3 monopoles the Yang-Mills-Higgs theory.
- 2011-05-18T16:00:00+02:00
- 2011-05-18T17:00:00+02:00
Quan?
18/05/2011 de 16:00 a 17:00 (Europe/Madrid / UTC200)
On?
Aula 103(1r pis), FME, UPC. (podria canviar a la 102)
Afegiu l'esdeveniment al calendari
We consider so called Bogomolny equations in the Yang-Mills-Higgs
theory and construct their solutions that called monopoles,
because they generalize Dirac monople to the case of higher
gauge group. Namely, we integrate the Bogomolny equation for
the case of charge 3 in terms of the Riemann theta-functions
of the associated algebraic curve by using the method of
finite gap integration.
Our work involve various remarkable results of mathematics:
Ramanujan hyperegeometric relations, Schottky-Jung
proportionalities for unramified covers, results on modili
of genus two algebraic curve. Some movies visualizing our
results will be presented.
theory and construct their solutions that called monopoles,
because they generalize Dirac monople to the case of higher
gauge group. Namely, we integrate the Bogomolny equation for
the case of charge 3 in terms of the Riemann theta-functions
of the associated algebraic curve by using the method of
finite gap integration.
Our work involve various remarkable results of mathematics:
Ramanujan hyperegeometric relations, Schottky-Jung
proportionalities for unramified covers, results on modili
of genus two algebraic curve. Some movies visualizing our
results will be presented.
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