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, 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...
Abstract: We apply the counting of non-Archimedean holomorphic
discs to the construction of the mirror of log Calabi-Yau surfaces.
In particular, we prove the Frobenius structure conjecture of
Gross-Hacking-Keel in dimension two. *This is joint work...
We discuss the Kadaira-Spencer gauge theory (or BCOV theory) on
Calabi-Yau geometry. We explain Givental's loop space formalism at
cochain level which leads to a degenerate BV theory on Calabi-Yau
manifolds. Homotopic BV quantization together with a...
Suppose you have a finite group G and you want to study certain
related structures (e.g., random walks, Cayley graphs, word maps,
etc.). In many cases, this might be done using sums over the
characters of G. A serious obstacle in applying these...
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.
