Seguem abaixo as informações dos nossos próximos dois Seminários de Geometria Algébrica e Geometria Complexa da UFF.
Para consultar os próximos seminários e o histórico, basta consultar o site do Grupo de Geometria Algébrica e Complexa da UFF:
https://sites.google.com/view/geoalgcompluff
Palestrante: Yerika Marín
Título: Generalized quasi-dihedral group acting on pseudo-real Riemann surfaces
Resumo: A closed Riemann surface of genus is called pseudo-real if it has anticonformal automorphisms but no anticonformal involutions. These Riemann surfaces, together with real Riemann surfaces, form the real locus of the moduli space of closed Riemann surfaces of genus . On the other hand, pseudo-real Riemann surfaces are examples of Riemann surfaces which cannot be defined over their field of moduli [1]. In general, a finite group might not be realized as the group of conformal/anticonformal automorphisms, admitting anticonformal ones, of a pseudo-real Riemann surface, for instance, in [2], it was observed that a necessary condition for that to happen is for the group to have order a multiple of 4 . In this talk, we consider conformal/anticonformal actions of the generalized quasi-dihedral group of order , on pseudo-real Riemann surfaces. We consider two cases either has anticonformal elements or only contains conformal elements [3]. This is part of my Ph.D. Thesis, under the advisers Saúl Quispe and Rubén A. Hidalgo.
References [1] M. Artebani, S. Quispe and C. Reyes. Automorphism groups of pseudoreal Riemann surfaces Journal of Pure and Applied Algebra 221 (2017), 2383-2407. [2] E. Bujalance, M. D. E. Conder and A. F. Costa. Pseudo-real Riemann surfaces and chira regular maps, Trans. Am. Math. Soc. 362 (7) (2010), 3365-3376. [3] R. A. Hidalgo, Y. Marín Montilla and S. Quispe. Generalized quasi-dihedral group as automorphism group of Riemann surfaces, Preprint 2022.
Título: IHS Manifolds of K3^[2]-type with an action of Z_3^4 : A_6
Resumo: In this talk we will study IHS manifolds of K3^[2]-type with a symplectic action of Z_3^4 : A_6, the symplectic group with the biggest order, and such that they also admit a non-symplectic automorphism. We will characterize the IHS manifolds that satisfies this, and particularly we will characterize the IHS manifold of K3^[2]-type with finite automorphism group of order 174960, the biggest possible order for the finite automorphism group of a IHS manifold of K3^[2]-type, and we will give an example of it. This is a joint work with Paola Comparin and Romain Demelle.
Título:Classes CSM e inversas de transformações de Cremona monomiais
Resumo: Dado um mapa birracional no espaço projetivo tridimensional definido por monômios de grau $d$, provamos que sua inversa é definida por monômios de grau no máximo $d^2-d+1$. Nossa abordagem consiste em reformular o problema em termos topológicos, via o uso de classes de Chern-Schwartz-MacPherson.
Trabalho em colaboração com Thiago Fassarella (UFF)
Gostaríamos de convidá-los para a próxima edição do SIES (Seminário Interinstitucional de Estudantes de Sistemas Dinâmicos), que será realizada no dia 28/08 (segunda-feira), a partir das 14h, no auditório da Pós-Graduação em Matemática (sala 407 do bloco H – Gragoatá).
Os palestrantes convidados serão: Matheus del Valle (IMPA), Lamartine Medeiros (UFRJ) e Caio Caetano (UFF).
Os resumos e detalhes das palestras podem ser encontrados no cartaz em abaixo.
Temos o prazer de convidá-los para o Hybrid BRAG Seminar, que ocorrerá no dia 25 de agosto (sexta-feira), no auditório da Pós-Graduação em Matemática (Sala 407), Bloco H – Gragoatá, a partir das 14h.
Os palestrantes convidados são: Cecília Salgado (University of Groningen) e Ethan Cotterill (UNICAMP),
Seguem as informações abaixo:
14:00 – 15:00 BRT
Title: Mordell-Weil rank jumps on families of elliptic curves Speaker: Cecília Salgado (University of Groningen) Abstract: We will discuss recent advances around the variation of the Mordell-Weil rank in families of elliptic curves. The first part of the talk will be dedicated to introducing the theme, motivating, presenting the state of the art and a brief view on the different techniques used to deal with the problem. The second part will cover recent results on rank jumps on rational and K3 elliptic surfaces.
15:30 – 16:30 BRT
Title: Towards Brill–Noether theory for cuspidal curves Speaker: Ethan Cotterill (Unicamp) Abstract: Understanding when an abstract complex curve of given genus comes equipped with a map of fixed degree to a projective space of fixed dimension is a foundational question; and Brill–Noether theory addresses this question via linear series, which algebraically codify maps to projective targets. Classical Brill–Noether theory, which focuses on smooth curves, has been intensively explored; but much less is known for singular curves, particularly for those with non-nodal singularities. In this talk, we show how valuation-theoretic techniques may be used to study Brill–Noether-type varieties attached to cuspidal curves of geometric genus zero.
Everyone is welcome to come to UFF to attend the BRAG Seminar on Friday, August 25, 2023. Right after the seminars, we will gather for a happy hour at the Estúdio Onze Botequim, very close to Gragoatá Campus.
For those that cannot be at UFF for this occasion, it will be possible to attend the seminar virtually. The link with coordinates will be sent by email a few days before the seminar.