Complex, p-adic, and logarithmic Hodge theory and their applications: March 6, 2016 – April 29, 2016

Complex, p-adic, and logarithmic Hodge theory and their applications

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Organized by Mark de Cataldo, Radu Laza, Christian Schnell
March 7, 2016 – April 29, 2016

Hodge theory is a very powerful tool for understanding the geometry of complex algebraic varieties and it has a wide range of applications in complex and algebraic geometry, mirror symmetry, representation theory, combinatorics, etc. This program focuses on different aspects of Hodge theory, their applications in algebraic geometry and related areas and, very importantly, on their interactions. We plan to cover the following four themes:

(1) p-adic Hodge theory and arithmetic geometry

(2) mixed Hodge modules and their applications

(3) log geometry, with an emphasis on degenerations and moduli problems

(4) applications of Hodge theory to questions about algebraic cycles

There will be four lecture series, “Hitchin systems and Hodge theory” (R. Donagi and T. Pantev), “p-adic Hodge theory” (B. Bhatt), “Log geometry and log Hodge structures” (M. Olsson), and “Mixed Hodge modules” (Ch. Schnell), a weekly seminar, and several mini-courses.