Conformal blocks are fundamental objects in the conformal
bootstrap program of 2D conformal field theory and are closely
related to four dimensional supersymmetric gauge theory.
In this talk, I will demonstrate a probabilistic construction of
a...
It may seem quite obvious that graphs carry a lot of geometric
structure. Don't we learn in algorithm classes how to solve
all-pairs-shortest-paths, minimum spanning trees etc.?
However, in this talk, I will try to impress on you the idea
that...
Sixth and higher moments of L-functions are important and
challenging problems in analytic number theory. In this talk, I
will discuss my recent joint works with Xiannan Li, Kaisa
Matom\"aki and Maksym Radziw\il\l on an asymptotic formula of
the...
In 2018 Keating, Rodgers, Roditty-Gershon and Rudnick
established relationships of the mean-square of sums of the divisor
function $d_k(f)$ over short intervals and over arithmetic
progressions for the function field $\mathbb{F}_q[T]$ to
certain...
I will explain how to construct the Ruelle invariant of a
symplectic cocycle over an arbitrary measure preserving flow. I
will provide examples and computations in the case of Hamiltonian
flows and Reeb flows (in particular, for toric domains). As...
I will give an introduction to Gaussian multiplicative chaos and
some of its applications, e.g. in Liouville theory. Connections to
random matrix theory and number theory will also be briefly
discussed.
Multiplicative chaos is the general name for a family of
probabilistic objects, which can be thought of as the random
measures obtained by taking the exponential of correlated Gaussian
random variables. Multiplicative chaos turns out to be
closely...
