Motivated by a discovery by Radchenko and Viazovska and by a
work by Ramos and Sousa, we find conditions sufficient for a pair
of discrete subsets of the real axis to be a uniqueness or a
non-uniqueness pair for the Fourier transform. These...
The C0 flux conjecture predicts that a symplectic diffeomorphism
that can be C0
approximated by a Hamiltonian diffeomorphism is itself
Hamiltonian. We describe how the flux conjecture relates to new
instances of the strong Arnol’d conjecture and...
We will discuss a generalization of the celebrated Minimax
Theorem (von Neumann, 1928) for binary zero-sum games. A simple
game which fails to satisfy Minimax is Ephraim Kishon's “Jewish
Poker” (see [1,2] below). In this game, each player picks a...
With every bounded prism Bhatt and Scholze associated a
cohomology theory of formal p-adic schemes. The prismatic
cohomology comes equipped with the Nygaard filtration and the
Frobenius endomorphism. The Bhatt-Scholze construction has been
advanced...
Random restrictions are a powerful tool used to study the
complexity of boolean functions. Various classes of boolean
circuits are known to simplify under random restrictions. A prime
example of this, discovered by Subbotovskaya more than 60
years...
Let K be a finite extension of Qp. The Emerton-Gee stack for GL2
is a stack of etale (phi, Gamma)-modules of rank two. Its reduced
part, X, is an algebraic stack of finite type over a finite field,
and can be viewed as a moduli stack of two...
It is well known that all contact 3-manifolds can be obtained
from the standard contact structure on the 3-sphere by contact
surgery on a Legendrian link. Hence, an interesting and much
studied question asks what properties are preserved under...
In this talk, I will present the following two connections
between private optimization and statistical physics, both via the
problem of approximating a given covariance matrix with a low-rank
matrix:
