Hossein Movasati (scientific expert CIMI)will give a series of Lectures
Title: Five lectures in Hodge Theory
The origin of Hodge theory goes back to many works on elliptic, abelian
and multiple integrals. In this lecture series I am going to explain how Lefschetz
was puzzled with the computation of Picard rank and this led him to consider
the homology classes of curves inside surfaces. This was ultimately formulated
in Lefschetz (1,1) theorem and then the Hodge conjecture which is one of the
millennium problems of Clay Mathematical Institute. The Hodge theory of
hypersurfaces and in particular Fermat varieties is emphasized.
The lectures are based on the books which are available in my webpage.
H. Movasati, A Course in Hodge Theory: With Emphasis on Multiple Integrals, Somerville, MA: International Press Boston, 2021.
H. Movasati, R. Villaflor, A Course in Hodge Theory: Periods of Algebraic cycles, 33 Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil,2021.
14 June Room E. Picard (1R2-129) 10:30.
Title: Lefschetz puzzle and Picard’s formula
16 June Room E. Picard (1R2-129) 13:30
Title: Lefschetz theorems on the topology of smooth projective varieties and Picard-Lefschetz theory
30 June Room J. Cavailles (1R2-132) 13:30.
Title: Toward a computational proof of Lefschetz (1,1) theorem.
05 July Room E. Picard (1R2-129) 13:30.
Title: Griffiths theorem on the cohomology of hypersurfaces.
07 July Room E. Picard (1R2-129) 13:30
Title: Hodge cycles for the Fermat variety.