# Jerusalem Mathematics Colloquium

Thursday, 12th June 2008, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Yaron Ostrover

(MIT)

"Algebraic properties of the quantum homology"

** Abstract: ** The theory of quantum homology has been extensively studied
in recent years, by mathematicians as well as physicists.
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.
In this talk we will discuss certain algebraic properties of the
quantum homology algebra of toric Fano manifolds.
In particular, motivated by applications to symplectic geometry, we will
focus on the semi-simplicity property of the quantum homology algebra, and
describe an easily-verified condition for this property.
(This is a joint work with Ilya Tyomkin.)

Light refreshments will be served in the faculty lounge at
3:30.

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