Palestras e Seminários
17/04/2026
16:30
sala 4-005
Palestrante: Matheus Hudson Gama dos Santos
https://sites.google.com/icmc.usp.br/seminariosgeometria/
Responsável: Daniel Gomes Fadel (daniel.fadel@icmc.usp.br)
Seminário de Geometria e Topologia de São Carlos
Car@s colegas,
O nosso antigo "Seminário de Geometria Diferencial e Análise Geométrica" do ICMC-USP evoluiu para um seminário conjunto com o DM-UFSCar chamado "Seminário de Geometria e Topologia de São Carlos" que ocorrerá a cada 2 semanas de sextas-feiras, alternando entre a USP e a UFSCar, mais informações no nosso site https://sites.google.com/icmc.usp.br/seminariosgeometria/. Todas as pessoas interessadas são bem-vindas, portanto quem puder nos ajudar na divulgação em suas listas de emails, para potenciais interessados, agradecemos muito!
Resumo/Abstract: In this talk, we address the problem of prescribing scalar and mean curvatures on manifolds with two boundaries, one of them is an infinite boundary as usual in a conformally compact theory, and the other one is a finite boundary and a corner where the two meet. The case of negative scalar curvature and minimal finite boundary is treated. We show the existence and uniqueness result under suitable asymptotic assumptions on its scalar curvature and mean curvature of the finite boundary. Our strategy comes from the construction of barrier functions on noncompact setting and relies on a certain operator being an isomorphism. As an application, we discuss positive conformal mass theorems without a Spin approach using a resolution of this problem in this setting.
