Thursday, 11th January 2007, 4:00 pm

Mathematics Building, Lecture Hall 2

Jake Solomon

(Institute for Advanced Studies, Princeton)

"Mirror symmetry, closed and open"

** Abstract: **
The goal of this talk will be to give a mathematical overview of certain
aspects of mirror symmetry. Mirror symmetry is a duality between the
complex geometry of one manifold and the symplectic geometry of another.
In some respects, this duality reflects the similarity in the definitions
of complex and symplectic structures. However, mirror symmetry also
predicts a relationship between certain problems of strikingly different
nature. For example, the problem of calculating period integrals for a
complex manifold is linear. However, the mirror problem of counting
holomorphic maps from the Riemann sphere to a symplectic manifold is
highly non-linear. Recent work in symplectic geometry has led to a new
example of mirror symmetry in the case when the Riemann sphere is replaced
by the disk. This talk will focus on explicit examples.

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

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