Abstract: The theory of quantum homology has been extensively studied in recent years both by mathematicians and physicists. Moreover, the quantum homology algebra plays a fundamental role in symplectic geometry and has strong relations to many other fields, such as algebraic geometry, integrable systems, and string theory. Our goal in this talk is to introduce the quantum homology algebra, and discuss some of its algebraic properties and their applications. Part of the talk is based on a joint work with Ilya Tyomkin.

No previous knowledge on quantum homology is assumed.

Coffee will be served at 12:00 before the lecture
at Schreiber building 006