We are surrounded by functional networks, from fluid transport
in plants and animals to macroscopic elastic scaffoldings and
microscopic crystals and materials, and engineered power grids.
Often, such networks can be seen as optimized for their...
The future interior of black holes in AdS/CFT can be described
in terms of a quantum circuit. We investigate boundary quantities
detecting properties of this quantum circuit. We discuss relations
between operator size, quantum complexity, and the...
We study configurations of disjoint Lagrangian submanifolds in
certain low-dimensional symplectic manifolds from the perspective
of the geometry of Hamiltonian maps. We detect infinite-dimensional
flats in the Hamiltonian group of the two-sphere...
Many space and astrophysical plasmas, such as the solar wind,
radiatively inefficient accretion flows onto black holes, and the
intracluster medium of galaxy clusters (ICM), are hot and dilute,
which makes them weakly collisional or even...
Faltings proved the statement, previously conjectured by
Shafarevich, that there are finitely many abelian varieties of
dimension nn, defined over a fixed number field, with good
reduction outside a fixed finite set of primes, up to isomorphism.
In...
I will start with a few comments on the proof of the equivalence
presented in the previous talks. Then I will focus on the
description of the abelian category of perverse sheaves
on the affine flag variety on the coherent side, where the answer
is...
We argue that quantization, a mathematical model of the quantum
classical correspondence, gives rise to approximate unitary
representations of symplectomorphism groups. As an application, we
get an obstruction to symplectic action of Lubotzky...
