This talk will be about a ferromagnetic spin system called the
Blume-Capel model. It was introduced in the '60s to model an exotic
multi-critical phase transition observed in the magnetisation of
uranium oxide. Mathematically speaking, the model can...
The last decade has witnessed a revolution in the circle of
problems concerned with proving sharp moment inequalities for
exponential sums on tori. This has in turn led to a better
understanding of pointwise estimates, but this topic remains...
Robust sublinear expansion represents a fairly weak notion of
graph expansion which still retains a number of useful properties
of the classical notion. The general idea behind it has been
introduced by Komlós and Szemerédi around 25 years ago and...
Letters are considered some of the most valuable sources for
historical research. Not only does their content cover a variety of
different themes, events, persons, etc., but letters also depict
networks between people. Yet due to editorial and...
We study a class of tree-level ansatzes for 2→2 scalar
and gauge boson amplitudes inspired by stringy UV completions.
These amplitudes manifest Regge boundedness and are exponentially
soft for fixed-angle high energy scattering, but unitarity in
the...
Sheffield showed that conformally welding a γ-Liouville quantum
gravity (LQG) surface to itself gives a Schramm-Loewner evolution
(SLE) curve with parameter κ=γ2 as the interface, and
Duplantier-Miller-Sheffield proved similar stories for
κ=16/γ2...
I will present a somewhat novel approach to known relationships
(in works of Sheffield, Miller, and others) between SLE and GFF,
the exponential of the GFF (quantum length/area), and Minkowski
content of paths. The Neumann GFF is defined as the real...
We discuss the relation between hypersurface singularities (e.g.
ADE, E˜6,E˜7,E˜8, etc) and spectral invariants, which are
symplectic invariants coming from Floer theory.
I will explain a new construction of an Euler system for the
symmetric square of an eigenform and its connection with L-values.
The construction makes use of some simple Eisenstein cohomology
classes for Sp(4) or, equivalently, SO(3,2). This is an...
Extracting information from stochastic fields is a ubiquitous
task in science. However, from cosmology to biology, it tends to be
done either through a power spectrum analysis, which is often too
limited, or the use of convolutional neural networks...
