Abstract: We prove cases of Rietsch mirror conjecture that the
A-model of projective homogeneous varieties is isomorphic to the
B-model of its mirror, which is a partially compactified
Landau--Ginzburg model constructed from Lie theory and geometric...
Abstract: In this talk we will report on joint work in progress
with Mohammed Abouzaid concerning homological mirror symmetry for
hypersurfaces in (C*)^n, namely, comparing the derived category of
the hypersurface and the Fukaya category of the...
Abstract: Within an emerging approach to Fukaya categories via
cohomology with categorical coefficients, I will outline a theory
of a particularly nice class of nonconstant coefficient systems
defined on Riemann surfaces. These are categorical...
Abstract: I plan to discuss the definition of open descendent
integrals. In genus g>0, this involves the moduli space of
Riemann surfaces with boundary with an additional structure called
a grading. *Joint work with R. Tessler.
Abstract: In this talk, I will present the following application of
microlocal sheaf theory in symplectic topology. For every closed
exact Lagrangian L in the cotangent bundle of a manifold M, we
associate a locally constant sheaf of categories on...
Indistinguishability obfuscation has turned out to be an
outstanding notion with strong implications not only to
cryptography, but also other areas such as complexity theory, and
differential privacy. Nevertheless, our understanding of how
to...
The computational complexity of finding Nash Equilibria in games
has received much attention over the past two decades due to its
theoretical and philosophical significance. This talk will be
centered around the connection between this problem and...
Let $k$ be a fixed positive integer. Myerson (and others) asked
how small the modulus of a non-zero sum of $k$ roots of unity can
be. If the roots of unity have order dividing $N$, then an
elementary argument shows that the modulus decreases at most...
I hope to talk more about how to find generators for Fukaya
categories using symplectic version of the minimal model program in
examples such as symplectic quotients of products of spheres and
moduli spaces of parabolic bundles.