Nicolò Sibilla (SISSA, Trieste, Italy)

The lectures will take place on Mondays and Fridays from 4 pm to 6pm, starting from March 1 until April 5. All lectures will be streamed online using the Zoom platform. If you would like to attend the lectures, please email  nsibilla@sissa.it.

Mirror symmetry is a duality in string theory which was discovered by physicists in the 80-s. The course will give an introduction to Homological Mirror Symmetry (HMS), an influential proposal due to Kontsevich to formulate mirror symmetry mathematically. Understanding the statement of HMS requires familiarity with quite a lot of background material, such as the notion of the Fukaya category of a symplectic manifold, and of derived category of an algebraic variety. The course  will serve as an introduction to these concepts with an emphasis on concrete examples of HMS and applications to algebraic and symplectic geometry.