A primary scientific outcome of the Apollo program was the giant
impact theory for lunar origin, in which a collision at the end of
Earth’s main accretionary phase creates a disk from which the Moon
forms. In the past decade, the nature of a Moon...
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...
Gravity plays the central role in structure formation and
evolution in astronomical scales. Despite the apparently simple
inverse square law for the gravitational force in the
non-relativistic regime, the dynamics of self-gravitating
many-body...
Millimeter-wave surveys of the sky have the potential for
yielding a wealth of information about our universe from the first
instants of its existence to our own solar system. I will describe
how modern measurements of the cosmic microwave...
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...
