The Toda lattice is one of the earliest examples of non-linear
completely integrable systems. Under a large deformation, the
Hamiltonian flow can be seen to converge to a billiard flow in a
simplex. In the 1970s, action-angle coordinates were...
A symplectic embedding of a disjoint union of domains into a
symplectic manifold M is said to be of Kahler type (respectively
tame) if it is holomorphic with respect to some (not a priori
fixed) integrable complex structure on M which is compatible...
Given a convex billiard table, one defines the set swept by
locally maximizing orbits for convex billiard. This is a remarkable
closed invariant set which does not depend (under certain
assumptions) on the choice of the generating function. I
I will describe the construction of a global Kuranishi chart for
moduli spaces of stable pseudoholomorphic maps of any genus and
explain how this allows for a straightforward definition of GW
invariants. For those not convinced of its usefulness, I...
The formula introduced by Robert Lipshitz for Heegaard Floer
homology is now one of the basic tools for those working with HF
homology. The convenience of the formula is due to its
combinatorial nature. In the talk, we will discuss the
The question of whether a Symplectic manifold embeds into
another is central in Symplectic topology. Since Gromov
nonsqueezing theorem, it is known that this is a different problem
from volume preserving embeddings. Symplectic capacities are...
Donaldson-Thomas (DT) invariants of a quiver with potential can
be expressed in terms of simpler attractor DT invariants by a
universal formula. The coefficients in this formula are calculated
combinatorially using attractor flow trees. In joint work...
The duality long exact sequence relates linearised Legendrian
contact homology and cohomology and was originally constructed by
Sabloff in the case of Legendrian knots. We show how the duality
long exact sequence can be generalised to a relative...
In this talk we discuss the existence of a new type of rigidity
of symplectic embeddings coming from obligatory intersections with
symplectic planes. This is based on a joint work with P.
Haim-Kislev and R. Hind.