For a topological dynamical systems (T, X) and a fixed $x \in X$
we are interested in the distribution of prime and semi-prime
orbits, i.e. ${T px}p='$ and ${T p1p2 x}p1,p2='$. We are interested
in systems for which the related sequences of empirical...
In the 1980's, Atiyah introduced a mathematical definition of
the notion of a topological quantum field theory. In this talk,
I'll recall Atiyah's definition and explain the motivation for the
more elaborate notion of an extended topological field...
Joint IAS/Princeton University Number Theory Seminar Topic:
Abelian varieties not isogenous to Jacobians Speaker: Jacob
Tsimerman Affiliation: University of Toronto Date: December 01,
2021 Katz and Oort raised the following question: Given an...
Although it is known that AdS/CFT as a quantum erasure
correction code is only approximate, there is still much to learn
about the precise bulk physical consequences of deviating from
exact erasure correction codes. In this talk, I will take
initial...
How does the dimension of the first cohomology grow in a tower
of covering spaces? After a tour of examples of behaviors for
low-dimensional spaces, I will focus on arithmetic manifolds.
Specifically, for towers of complex hyperbolic manifolds, I...
Maria Mavroudi, Professor of Byzantine Ηistory, Classics,
and Near Eastern Studies, University of California,
Berkeley and Angelos
Chaniotis, Professor of Ancient History and Classics,
Institute for Advanced Study; Doctor honoris causa of
the...
Given the current knowledge of complex representations of finite
simple groups, obtaining good upper bounds for their characters
values is still a difficult problem, a satisfactory solution of
which would have significant implications in a number of...
In an ongoing project of D. Ben-Zvi, Y. Sakellaridis and A.
Venkatesh, the authors propose a conjectural generalization of the
derived Satake equivalence for complex reductive groups to
spherical varieties. I will describe a program aimed at...
Black holes are never isolated in realistic astrophysical
environments; instead, they are often perturbed by complicated
external tidal fields. How does a black hole respond to these tidal
perturbations? In this talk, I will discuss both the...
