Anomalies are invariants under renormalization group flow which
lead to powerful constraints on the phases of quantum field
theories. I will explain how these ideas can be generalized to
families of theories labelled by coupling constants like the...
I will discuss a proof of the existence of infinitely many
solutions for the singular Yamabe problem in spheres using
bifurcation theory and the spectral theory of hyperbolic
surfaces.
The LIGO/VIRGO collaboration has just started their observing
run 3. I will first give an introduction to gravitational wave
searches and the events that have been found so far and describe
some of the interesting astrophysics problems that might be...
The Langlands and Fontaine–Mazur conjectures in number theory
describe when an automorphic representation f arises geometrically,
meaning that there is a smooth projective variety X, or more
generally a Chow motive M in the cohomology of X, such...
My talk will aim to be a friendly introduction for condensed
matter friends, mathematicians, and QFT theorists alike --- I shall
quickly review and warm up the use of higher symmetries and
anomalies of gauge theories and condensed matter systems...
