Documents  14H81 | enregistrements trouvés : 5

- vii; 222 p.
ISBN 978-1-4704-2856-3

Contemporary mathematics , 0703

Localisation : Collection 1er étage

géométrie algébrique # géométrie diophantienne # surface elliptique # courbe # symétrie miroir # surface de Riemann

11G30 ; 11G50 ; 11G42 ; 14J27 ; 14J28 ; 14H40 ; 14H45 ; 14H52 ; 14H55 ; 14-06 ; 14H81

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- xiv; 370 p.
ISBN 978-1-4704-1051-3

Proceedings of symposia in pure mathematics , 0088

Localisation : Collection 1er étage

géométrie algébrique # théorie quantique # théorie des cordes # théorie des supercordes # théorie de Yang-Mills # variété de Calabi-Yau # symétrie miroir # quantification de la déformation

14-06 ; 14H81 ; 14J81 ; 53D37 ; 53D55 ; 81T13 ; 81T30 ; 81Q30 ; 00B25 ; 14-XX ; 18-XX ; 19-XX ; 22-XX ; 53-XX ; 58-XX ; 81-XX ; 81Txx ; 83Exx ; 83E30

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- x, 201 p.
ISBN 978-3-540-79813-2

Lecture notes in mathematics , 1947

Localisation : Collection 1er étage

courbe algébrique # invariant Gromov-Witten # cohomologie quantique # homologie Floer symplectique # théorie des cordes # supercorde # théorie topologique des champs quantiques

14H10 ; 14H81 ; 14N35 ; 53D40 ; 81T30 ; 81T45

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Research talks;Algebraic and Complex Geometry

In 2007, Fan, Jarvis, and Ruan constructed an analogue of the Gromov-Witten (GW) theory of hypersurfaces in weighted projective spaces. The new theory is attached to quasi-homogeneous polynomial singularities and is usually called Fan-Jarvis-Ruan-Witten theory (FJRW). It is part of the general picture of Witten, where GW and FJRW theories arise as two distinct GIT quotients of the same model. I will first explain this idea under the light of mirror symmetry. Then I will present FJRW theory and the geometric problem it illustrates. In particular, I will highlight a geometric property called concavity. For now, it is a necessary condition for explicit results on GW theory of hypersurfaces. But on the FJRW side, the situation has recently changed and I will describe my method based on Koszul cohomology to overcome this difficulty. As a consequence, I obtain a mirror symmetry theorem without concavity. In 2007, Fan, Jarvis, and Ruan constructed an analogue of the Gromov-Witten (GW) theory of hypersurfaces in weighted projective spaces. The new theory is attached to quasi-homogeneous polynomial singularities and is usually called Fan-Jarvis-Ruan-Witten theory (FJRW). It is part of the general picture of Witten, where GW and FJRW theories arise as two distinct GIT quotients of the same model. I will first explain this idea under the light of ...

14H70 ; 14H81 ; 14N35 ; 14B05

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