2026 - Semester 1
2026 - Semester 1
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Next talks
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April 28th, 2026
Title: Singularities of differential operators
Title: Singularities of differential operators
Speaker: Carlos Tomei (PUC-Rio)
Abstract: An example of a differential operator is F(u) = -u'' + u^2, acting on functions satisfying Dirichlet conditions, u(0) = u(1) = 0. The critical set of such functions (between spaces of functions) is stratified by different singularities. The talk will present some situations, with emphasis on a recent result (Ardila, Saldanha,T.): all the singularities of the function F above are Morin singularities, and arbitrarily deep singularities occur. (Joint work with Nicolau Saldanha).
May 12th, 2026
Title: Injectivity of polynomial maps in the real plane
Title: Injectivity of polynomial maps in the real plane
Speaker: Bruna Oréfice Okamoto (UFSCar)
Abstract: We develop tools to count the connected components of the fibers of a polynomial submersion in two real variables p. As a consequence, we get a necessary condition for a real number to be a bifurcation value of p. These results are applied to prove that a polynomial local self-diffeomorphism of the real plane having one coordinate function with degree less than 6 is globally injective. Joint work with Filipe Fernandes and Francisco Braun.
May 26th, 2026
Title: TBA
Title: TBA
Speaker: Raimundo Nonato (ICMC-USP)
Abstract: TBA
Jun 9th, 2026
Title: TBA
Title: TBA
Speaker:
Abstract: TBA
Jun 23rd, 2026
Title: TBA
Title: TBA
Speaker:
Abstract: TBA
2025 - Semester 2
2025 - Semester 2
Dedicated to the memory of
Maria Aparecida Soares Ruas - Cidinha
Dedicated to the memory of
Maria Aparecida Soares Ruas - Cidinha
The Brazilians Singularity Theory Webinar of this semester will be dedicated to the memory of Maria Aparecida Soares Ruas (Cidinha). Her trajectory deeply marked the development of Singularity Theory in Brazil and worldwide, training generations of mathematicians and consolidating research groups that today continue her legacy.
This special series will feature talks by her collaborators, who will present results and perspectives related to her contributions, celebrating the strength and vitality of her work.
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