Intended audience - Advanced Masters’s students and higher.
Short Description
Right from its introduction by Hamilton in 1982, the Ricci flow has found applications in both geometry
and topology. Perhaps the crowning achievement of the Ricci flow is the proof of the Poincaré conjecture
or more generally the proof of the Thurston’s Geometrization conjecture by Perelman. This course
intends to be an introduction to the Ricci flow and to study many of its properties and applications.
The target audience is advanced Bachelors and Masters’s students and PhD students so only basic
knowledge of Riemannian geometry and analysis (especially PDEs) will be very beneficial. A detailed
(preliminary) discussion of topics is outlined below. If the response will be good, then there could also
be a "Part 2" of the course which probably will cover those results of Perelman which won’t be covered
in the first part. |
