Seminario del Dipartimento di Matematica Guido Castelnuovo
Venerdì 5 luglio alle ore 12:30, in Sala di Consiglio, si terrà il Seminario di Dipartimento del dott. Samouil Molcho risultato vincitore di una procedura selettiva per una posizione di RTT nel Settore Concorsuale ex 01/A2, ora MATH02.
Speaker: Samouil Molcho
Titolo: Logarithmic Intersection Theory
Abstract: Let C be a Riemann surface, x_1,...,x_n a set of points on C, and a_1,...,a_n integers adding up to 0. The theorem of Abel and Jacobi determines when C carries a meromorphic function with zeroes and poles at the points x_i, with multiplicities given by a_i. Modern versions of the theorem ask the same question in families -- to determine the locus of curves that admit meromorphic functions with prescribed zeroes and poles inside the moduli space of curves. In this talk, I will explain how recent progress in the intersection theory of normal crossings pairs leads to a solution of this and several related problems.
