ICTP Mathematics Seminar - Tuesday 12 February, at 14:30 (Yairon CID RUIZ)

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2019


Tuesday 12 February, at 14:30 hrs.


Yairon Cid Ruiz (Universitat de Barcelona)


Title: Saturated special fiber ring and rational maps


Abstract: The idea of studying rational maps by looking at the syzygies 
of the base ideal is a relatively new idea that has now become an 
important research topic. In this talk, we will discuss some recent 
results that lead to birationality criteria and formulas for the degree 
of rational maps that depend on the algebraic properties of the syzygies 
of the base ideal. Mainly, we will introduce a new algebra called 
"saturated special fiber ring" and we will discuss its relations with 
the degree and birationality of rational maps between irreducible 
projective varieties. Time permitting, we will also discuss some results 
in the problem of specializing the coefficients of a rational map.
This talk is based on joint works with Laurent Busé and Carlos D’Andrea 
and with Aron Simis.


VENUE: Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

For to be free is not merely to cast off one's chains, but to live in a way
that respects and enhances the freedom of others. Nelson Mandela