Despite the undeniable success of the Large Hadron Collider
(LHC), Beyond the Standard Model (BSM) physics remains elusive. In
this talk, I will outline a multifaceted strategy to maximize
discovery potential at current and future high-energy...
A construction of Thurston assigns a hyperbolic 3-manifold to
any polyhedron; a natural question is: which such are arithmetic?
We report on ongoing work aiming to answer this question.
The ring of symmetric functions has a linear basis of Schur
functions sλ indexed by partitions λ=(λ1≥λ2≥…≥0).
Littlewood-Richardson coefficients cνλ,μ are the structure
constants of such a basis.
A function is Schur nonnegative if it is a linear...
The first structures of particle dark matter form by
gravitationally condensing out of the smooth mass distribution of
the early universe. This formation mechanism leaves these "prompt
cusps" with uniquely compact r^-1.5 density profiles and
links...
A remarkable result of Brändén and Huh tells us that volume
polynomials of projective varieties are Lorentzian polynomials. The
dual notion of covolume polynomials was introduced by Aluffi by
considering the cohomology classes of subvarieties of a...
In this talk, I will discuss some results concerning the
geometry and topology of manifolds on which the first eigenvalue of
the operator -γΔ + Ric is bounded below. Here, γ is a positive
number, Δ is the Laplacian, and Ric denotes the pointwise...
(joint work with Shaoyun Bai) Using a new version of
transversality condition (the FOP transversality) on orbifolds, one
can construct Hamiltonian Floer theory over integers for all
compact symplectic manifolds. In this talk I will first
describe...
Two matrices are called equivalent if one can be transformed
into the other by multiplying with invertible matrices on the left
and right. Extending this idea to 3-tensors, it is natural to
define two 3-tensors as isomorphic if they can be...
The inverse Galois problem asks for finite group G, whether G is
a finite Galois extension of the rational numbers. Malle’s
conjecture is a quantitative version of this problem, giving an
asymptotic prediction of how many such extensions exist with...
