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The non-archimedean SYZ fibration and Igusa zeta functions - Part 2

By Johannes Nicaise

Also appears in collection : Higher dimensional algebraic geometry and characteristic p > 0 / Géométrie algébrique en dimension supérieure et caractéristique p > 0

The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its relations with the Minimal Model Program and Igusa's p-adic zeta functions. No prior knowledge of non-archimedean geometry is assumed. These lectures are based on joint work with Mircea Mustata and Chenyang Xu.

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  • DOI 10.24350/CIRM.V.19049003
  • Cite this video Nicaise, Johannes (14/09/2016). The non-archimedean SYZ fibration and Igusa zeta functions - Part 2. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19049003
  • URL https://dx.doi.org/10.24350/CIRM.V.19049003

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