Pédagogie > TELEMAN ANDREI
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Tue, 07 Apr 2020 23:43:47 GMTAndrei Teleman - Instantons and holomorphic curves on surfaces of class VII (Part 1)Sun, 01 Jul 2012 22:00:00 GMTThis
series of lectures is dedicated to recent results concerning the
existence of holomorphic curves on the surfaces of class VII. The first
lecture will be an introduction to the Donaldson theory. We will present
the fundamental notions and some important results in the theory,
explaining ideas of the proofs. In the second lecture we will present
the theory of holomorphic fiber bundles on complex surfaces, the
stability notion, moduli spaces and the Kobayashi-Hitschin
correspondence that links moduli spaces of stable fiber bundles (defined
in the fram of complex geometry) to moduli spaces of instantons
(defined in the frame of the Donaldson theory). In the last two lectures
we will prove the existence of holomorphic curves on minimal surfaces
of class VII with b2=1 or 2 and we will present the general strategy and
the last results obtained in the general case.
http://indexation.univ-fcomte.fr/ori-oai-search/notice/view/oai%253Acanal-u.fr%253A23486
oai:canal-u.fr:23486URL: http://indexation.univ-fcomte.fr/ori-oai-search/notice/view/oai%253Acanal-u.fr%253A23486 ]]>Andrei Teleman - Instantons and holomorphic curves on surfaces of class VII (Part 2)Mon, 02 Jul 2012 22:00:00 GMTThis
series of lectures is dedicated to recent results concerning the
existence of holomorphic curves on the surfaces of class VII. The first
lecture will be an introduction to the Donaldson theory. We will present
the fundamental notions and some important results in the theory,
explaining ideas of the proofs. In the second lecture we will present
the theory of holomorphic fiber bundles on complex surfaces, the
stability notion, moduli spaces and the Kobayashi-Hitschin
correspondence that links moduli spaces of stable fiber bundles (defined
in the fram of complex geometry) to moduli spaces of instantons
(defined in the frame of the Donaldson theory). In the last two lectures
we will prove the existence of holomorphic curves on minimal surfaces
of class VII with b2=1 or 2 and we will present the general strategy and
the last results obtained in the general case.
http://indexation.univ-fcomte.fr/ori-oai-search/notice/view/oai%253Acanal-u.fr%253A23490
oai:canal-u.fr:23490URL: http://indexation.univ-fcomte.fr/ori-oai-search/notice/view/oai%253Acanal-u.fr%253A23490 ]]>