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Explore advanced topics in Hodge theory through this comprehensive lecture series featuring leading experts in algebraic geometry and differential geometry. Delve into the differential geometry of the Torelli map across five detailed lectures by Alessandro Ghigi and Paola Frediani, examining the geometric properties and structures of this fundamental mapping in algebraic geometry. Master Arakelov theory, equidistribution, and algebraic dynamics through five progressive lectures by Jose Ignacio Burgos Gil, covering the intersection of arithmetic geometry and dynamical systems. Investigate the fascinating relationship between algebraicity and transcendence in Hodge theory via five lectures by Bruno Klingler, exploring deep connections between algebraic and transcendental aspects of geometric structures. Discover specialized applications including phylogenetics by Athulya Girish, holomorphic one-forms on the moduli space of curves by Gianpietro Pirola, holomorphic curves in compact quotients of SL(2,C) by Sorin Dumitrescu, and the Bergman kernel and period map for curves by Carolina Tamborini. Gain insights into cutting-edge research at the intersection of algebraic geometry, differential geometry, and complex analysis through these expert presentations from the International Centre for Theoretical Sciences.
