TY - BOOK AU - Kerr,Matthew D. AU - Pearlstein,Gregory TI - Recent advances in Hodge theory: period domains, algebraic cycles, and arithmetic T2 - London Mathematical Society lecture note series SN - 9781316387887 (ebook) AV - QA564 .R426 2016 U1 - 514/.74 23 PY - 2016/// CY - Cambridge PB - Cambridge University Press KW - Algebraic cycles KW - Congresses KW - Differential-algebraic equations KW - Geometry, Algebraic KW - Hodge theory N1 - Title from publisher's bibliographic system (viewed on 05 Feb 2016) N2 - In its simplest form, Hodge theory is the study of periods - integrals of algebraic differential forms which arise in the study of complex geometry and moduli, number theory and physics. Organized around the basic concepts of variations of Hodge structure and period maps, this volume draws together new developments in deformation theory, mirror symmetry, Galois representations, iterated integrals, algebraic cycles and the Hodge conjecture. Its mixture of high-quality expository and research articles make it a useful resource for graduate students and seasoned researchers alike UR - https://doi.org/10.1017/CBO9781316387887 ER -