Let X be a smooth projective variety over the complex numbers.
Let M be the moduli space of irreducible representations of the
topological fundamental group of X of a fixed rank r. Then M is a
finite type scheme over the spectrum of the integers Z...
Contact topology is the study of certain geometric structures on
odd dimensional smooth manifolds. A contact structure is a
hyperplane field specified by a one form which satisfies a
nondegeneracy condition called maximal non-integrability.
The...
Efficient verification of computation is fundamental to computer
science and is at the heart of the P vs. NP question. Recently it
has had growing practical significance, especially with the
increasing popularity of blockchain technologies and cloud...
In this talk, I will describe the construction of contact
structures on higher-dimensional spheres with exotic fillability
properties. These can then me implemented on more general manifolds
via connected sum, yielding a host of exotic higher...
The German born American scholar Leo Strauss has become a
lasting influence on US foreign policy as well as the ideological
discourse of the Chinese Communist Party. But at his times he was
in quest of classic political philosophy, by which he...
I will discuss exact solvability results (in a sense) for
scaling limits of interface crossings in critical random-cluster
models in the plane with various general boundary conditions.
The results are rigorous for the FK-Ising model,
Bernoulli...
Filtered Lagrangian Floer homology gives rise to a barcode
associated to a pair of Lagrangians. It is well-known that
the lengths of the finite bars and the spectral distance are lower
bounds of the Lagrangian Hofer metric. In this talk we are...
Enumerative mirror symmetry is a correspondence between closed
Gromov-Witten invariants of a space X, and period integrals of a
family Y. One of the predictions of Homological Mirror Symmetry is
that the closed Gromov-Witten invariants can be...
Powerful homology invariants of knots in 3-manifolds have
emerged from both the gauge-theoretic and the symplectic kinds of
Floer theory: on the gauge-theoretic side is the instanton knot
homology of Kronheimer-Mrowka, and on the symplectic the...
