Campinas
Campinas
São Carlos
São Carlos
Algebra and Geometry meeting
Algebra and Geometry meeting
ICMC, São Carlos, November 6, 2026
This one-day event brings together researchers in Algebra and Geometry from Sao Carlos and Campinas.
There will be invited talks and a poster session. Registration open here.
Gabriel Fazoli
Kaique Matias de Andrade Roberto
Otavio Perez
Vincent Grandjean
Yulia Gorginian
Zhengning Hu
TBA
Gabriel Fazoli TBA
Kaique Matias de Andrade Roberto TBA
Otavio Perez - ICMC - Generalized upper principal part of real planar polynomial vector fields
The goal of this paper is to generalize recent results about the topological classification of the dynamics of a real planar polynomial vector field near infinity. Given a polynomial vector field $X$, using Newton polyhedra one can define its generalized upper principal part $X_{\Gamma}^{U}$. By dropping some monomials of $X_{\Gamma}^{U}$, we define its minimal generalized upper principal part $X_{G}^{U}$. We prove that there exist an open and dense set $\widetilde{\mathfrak{U}}_{1}$ in the set of polynomial vector fields with Newton degenerate upper principal part satisfying the following property: if $X\in\widetilde{\mathfrak{U}}_{1}$, then $X$ and $X_{G}^{U}$ are topologically equivalent near infinity, provided that $X_{G}^{U}$ satisfies some additional non-degeneracy assumptions. Our techniques rely on toric compactification and the Normal Form Theorem. Joint work with Thaís Maria Dalbelo and Regilene Oliveira.Vincent Grandjean TBA
Yulia Gorginian TBA
Zhengning Hu - IMECC - Rational Chow groups of Hurwitz spaces
The Hurwitz space, parametrizing degree d genus g covers of the projective line up to automorphisms of the target, is a fundamental tool in the study of moduli spaces of curves. In this talk, we shift the focus to the intersection theory on the Hurwitz space itself, and its admissible covers compactification. We will discuss various intersection-theoretic techniques used in computing their rational Chow groups/rings, particularly in the context of double, triple and quadruple covers.