6 Ottobre, 2016 16:30

Seminario Matematico e Fisico di Milano

Constructing curves on surfaces

François Charles, Université Paris-Sud (Orsay)

Sala di rappresentanza, Dipartimento di Matematica, Università degli Studi, Via C. Saldini 50

A number of important questions in arithmetic and algebraic geometry, like the Hodge conjecture, deal with construction methods for subvarieties of algebraic varieties. These conjectures deal with complex-analytic questions, number-theoretic ones and questions regarding transcendental number theory. We will describe various aspects of these conjectures, and explain the geometric ideas underlying the proof of some of these in specific cases.