Hodge Theory Day

IMPA, Rio de Janeiro, March 21^st, 2019

What is now called Hodge theory is a culmination of great amount of efforts starting from the works of Augustin Louis Cauchy (1789-1857), Niels Henrik Abel (1802-1829), Carl Gustav Jacob Jacobi (1804-1851) and Georg Friedrich Bernhard Riemann (1826-1866) on elliptic and abelian integrals,  Jules Henri Poincaré’s (1854-1912) Analysis Situs, Charles Émile Picard’s (1856-1941) intensive study of multiple integrals, Solomon Lefschetz’s (1884-1972) treatise  on the topology of smooth projective varieties,  William Vallance Douglas Hodge’s (1903-1975) description of the de Rham cohomology of projective varieties,  Phillip Augustus Griffiths’ (1938-) breakthrough applications of it in algebraic geometry and Pierre René Deligne’s (1944-) vast generalization of it into mixed Hodge structures; just to mention the name of some of the  main contributers.  The main aim of this one day workshop is to have a glance at this topic and some of its main conjectures. 

• Videos of the talks
• Program
• Venue

• Speakers:

Ananyo Dan (IMPA)
Aspects of the semi-regularity map

Remke Kloosterman (Padova)
Noether-Lefschetz theory for singular threefolds

Hossein Movasati (IMPA)
Hunting new Hodge cycles for cubic hypersurfaces

Younes Nikdelan (UERJ)
Gauss-Manin Connection in Disguise for Dwork Family

Misha Verbitsky  (IMPA)
Bogomolov-Tian-Todorov theorem for a non-Kahler
holomorphically symplectic manifolds

Roberto Villaflor (IMPA)
Artinian Gorenstein algebras and components of the Hodge locus

Contact

Postal Address: Instituto de Matemática Pura e Aplicada 
Estrada Dona Castorina 110, Jardim Botânico
Rio de Janeiro, RJ, CEP 22460-320, Brasil 
E-mail: eventos@impa.br