O 1º Dia Genet-Roussel da Geometria acontecerá na próxima sexta-feira, 1º de março, no Auditório Fernão Stella de Rodrigues Germano, do Instituto de Ciências Matemáticas e de Computação (ICMC), campus USP de São Carlos, e será composto pelas seguintes palestras:
Deformation quantization
- Palestrante: Henrique Bursztyn (Instituto Nacional de Matemática Pura e Aplicada - IMPA)
- Horário: das 10h30 às 12h30
- Resumo: "Deformation quantization" offers an approach to the quantization problem in physics (i.e., the passage from classical to quantum mechanics) based on the deformation theory of algebraic structures. This talk will discuss the very basics of deformation quantization, including its motivation, origins, mathematical formulation, and main results. Along the way, we will indicate how ideas from physics can be profitable to (pure) mathematics (which turns out to be a common recent trend, particularly in geometry and topology). The main result in the area follows from Kontsevich's formality theorem, one of the responsibles for his 1998 Fields medal.
Fedosov quantization in algebraic geometry
- Palestrante: Dmitry Kaledin (Steklov Mathematical Institute, Rússia).
- Horário: das 14h30 às16h30
- Resumo: Back in 1980es, Fedosov introduced a general procedure for doing deformation quantization of symplectic manifolds. This was in the C^\infty-setting. It turns out that the story has an algebraic and a holomorphic counterpart. It is not very difficult but quite useful. Moreover, in this setting the usual commutative deformation theory is non-trivial and interesting; it fits very nicely with the deformation quantizations, so that we get a unified picture. This is what I am going to present. I will not assume any prior knowledge of deformation quantization, and only some very basic knowledge of algebraic or complex geometry, whichever you like best.
O evento é aberto a todos os interessados, não sendo requerida inscrição prévia.
Informações:
Seção de Eventos do ICMC
Tel. (16) 3373-9146
