MATHEMATICS COLLOQUIUM
Speaker: Mboyo Esole
Title: Ftheory and Topological Invariants of Singular Varieties
Affiliation: Harvard University
Date: Friday, March 28, 2008
Place and Time: Room 101, Love Building, 3:354:30 pm
Refreshments: Room 204, Love Building, 3:00 pm
Abstract.
String theory is well known to be a regular provider of nontrivial
conjectures in mathematics. This has generated along the years a rich
interaction between theoretical physics and some esoteric parts of
mathematics that are traditionally no playgrounds for physicists like
for example number theory and algebraic geometry. Mirror symmetry and
enumerative problems for rational curves are well known examples of
such interactions.
Ftheory is a geometric description of string
theory with a particular type of extended objects called D7branes.
The Ftheory description is based on elliptically fibered CalabiYau
fourfolds with a section.
I will explain how the consistency of the Ftheory description in a
particular regime known as "Sen's weak coupling limit"
implies a nontrivial conjecture relating topological invariants of
different loci that appear naturally in such a setting. This will be
an opportunity to see an application of the theory of topological
invariants of singularity varieties to a concrete physical situation.
