The non-archimedean SYZ fibration and Igusa zeta functions - Part 2
Apparaît également dans la 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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