The parametrised Whitehead torsion is an invariant of families
of manifolds, and can be viewed as a map to an algebraic K-theory
space. A strong version of the nearby Lagrangian conjecture says
that when applied to families of closed exact...
The so-called galaxy--halo connection is a vast topic concerning
how galaxies populate their host dark matter halos. I will
present some works we have made under this grand theme, including
(1) the detection of assembly bias signal with the help of...
In this talk I will construct a “quasisymmetric flag variety”, a
subvariety of the complete type A flag variety built by
adapting the BGG geometric construction of divided differences to
the newly introduced “quasisymmetric divided differences”...
Postnikov's divided symmetrization, introduced in the context of
volume polynomials of permutahedra, possesses a host of remarkable
``positivity'' properties. These turn out to be best understood
using a family of operators we call quasisymmetric...
In 2021 Avi gave a talk titled “Linear spaces of matrices” (see
https://www.youtube.com/watch?v=H1H0OkZfZXw).
As shown there, the study of linear spaces of matrices (which we
call matrix spaces) arises naturally (and independently) in many
different...
AI progress is accelerating, and now the leaders expect
“artificial general intelligence” (AGI) in 2 to 3 years. While
difficult to believe, we must prepare for the possibility. We can
take some lessons from previous episodes in which computers...
Originally introduced as analogs of symmetric spaces for
groups over non-archimedian fields buildings have proven useful in
various areas by now. In this talk I will introduce (Bruhat-Tits)
buildings, combinatorial toolkits to study them and
their...
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...
