17/07/2020

IMPA offers open courses for doctoral students.

As part of virtual activities due to the new coronavirus pandemic, IMPA professors will be teaching free online courses aimed at doctoral students, including those from other educational institutions. Researchers Luis Florit and Henrique Bursztyn will teach the classes, which will take place between August 17th and December 4th. Registration begins on August 5th through the institute's website .

Professor Luis Florit will teach the analysis on manifolds classes, which will cover the general theory of differentiable manifolds, with an introduction to differential topology. The complete program is available at this link . Bibliographic references and notes on the topics to be studied are also available . In addition to the classes on the IMPA YouTube channel , registered participants will take part in meetings via Google Meets, to be scheduled according to the class's availability.

Led by Professor Henrique Bursztyn along with researchers Vinicius Ramos, from IMPA, and Renato Vianna, from the Federal University of Rio de Janeiro (UFRJ), the symplectic geometry course will cover Hamiltonian and integrable systems, Hamiltonian symmetries, and symplectic reduction, among other topics. Classes will be taught in Portuguese, and student materials, such as bibliography, notes, and exercises, will be in English.

If requested, IMPA can issue a certificate of participation in the courses. Students enrolled in short courses who later enroll at IMPA in a master's or doctoral program may request that the courses taken be counted towards their credits.