In this talk, I will first briefly review the Deligne-Mostow theory of moduli spaces of weighted points on the projective line, and a construction of ball quotients from periods of...
Read more
K-stability is an algebraic condition that characterizes the existence of K\"ahler-Einstein metrics on Fano varieties. Recently there has been a lot of work on the construction of the K-moduli space,...
Read more
We consider spin-S quantum spin chains with a family of O(2S+1)-invariant nearest-neighbor interactions and discuss the ground state phase diagram of this family of models. Using a graphical representation for...
Read more
Topological field theories and holomorphic field theories have each had a substantial impact in both physics and mathematics, so it is natural to consider theories that are hybrids of the...
Read more
The Navier-Stokes and Euler equations are the fundamental models for describing viscous and inviscid fluids, respectively. Based on ideas which date back to Kolmogorov and Onsager, solutions to these equations...
Read more
In this talk, we generalize Witten's non-abelian bosonization in $(1+1)$-D to two and three spatial dimensions. Our theory applies to fermions with relativistic dispersion. The bosonized theories are non-linear sigma...
Read more
It is a classical fact that the product of a sum of two squares with a sum of two squares is naturally a sum of two squares. (One can also...
Read more
The absolute prismatic site of a p-adic formal scheme carries interesting arithmetic and geometric information attached to the formal scheme. In this talk, after recalling the definition of this site,...
Read more
Over the past decades, dependent type theory has proven to be a powerful framework for verified software and formalized mathematics. However, its treatment of equality has always been somewhat uncomfortable. ...
Read more
Spin glasses are models of statistical mechanics encoding disordered interactions between many simple units. One of the fundamental quantities of interest is the free energy of the model, in the...
Read more