[Dottorcomp] Semainari di Geometria e Algebra - mercoledì 17 dicembre 2025

[Lidia Stoppino]

Il giorno mercoledì 17 dicembre 2025

in SALA RIUNIONI PIANO C 
alle ore 16,15 (durata 1 ora)

Claudia Reynoso Alcántara (University of Guanajuato)
terrà un seminario dal titolo:

Poincaré Problem for Foliations on ℂ⁢ℙ^2 with a unique singular point

Abstract: In 1891, Poincaré posed, in a series of three articles, a central question for the theory of differential equations: can one determine whether a polynomial differential equation in two complex variables is algebraically integrable? This problem, now known as the Poincaré Problem, has generated great interest and has been extensively studied ever since.
In this talk, we will begin with a brief historical review of the problem, presenting some important results and known counterexamples. The main purpose is to construct a new family of counterexamples, focusing on a particular class of foliations—those with a unique singular point. These examples are also relevant to other important topics, such as pencils on ℂ⁢ℙ^2 with a unique base point; and fibrations on rational algebraic surfaces. This is joint work with Alexis Zamora from the Universidad de Zacatecas, Mexico.


Tutti gli interessati sono invitati a partecipare. 

Chi vuole venire a *cena* la sera scriva tempestivamente a me, a Filippo Favale <filippo.favale a unipv.it> e a Davide Bricalli <davide.bricalli a unipv.it>
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Lidia Stoppino
Dipartimento di Matematica
Università di Pavia
Via Ferrata 5
27100 Pavia
Ufficio C.07 (primo piano)
Tel. +39 0382 985624
e-mail: lidia.stoppino a unipv.it 
pagina web: http://www.stoppino.it