I will discuss real-time path integrals in gravitational
theories. As applications we will describe the general structure of
replica wormhole saddles and the effective dynamics of open quantum
systems with long-term memory.
In recent work, it was argued that quantum computations with
inputs and outputs distributed in spacetime, or quantum tasks,
impose constraints on entanglement in holographic theories. The
resulting constraint was named the connected wedge theorem...
I will discuss progress towards understanding the relationship
between the gravitational path integral and the partition function
via the gravitational free energy (more generally the generating
functional). A proper computation of the free energy...
Digital Scholarship Conversations
December 4, 2020
Speakers:
Suzanne Akbari, Professor of Medieval Studies, IAS
Rachel Di Cresce, Project Librarian, The Book and the Silk
Roads
Jessica Lockhart, Director of Research, The Book and the Silk
Roads
J...
I'll talk about two related projects, with two different groups,
both aiming to see three-dimensional manifolds "from the inside".
That is, we generate images assuming that light travels along
geodesics in the geometry of the manifold. The first...
Let GG be a reductive group over a number
field FF and HH a subgroup. Automorphic periods
study the integrals of cuspidal automorphic forms
on GG over H(F)∖H(AF)H(F)∖H(AF). They are often
related to special values of certain L functions. One of the...
NASA's Kepler mission conducted a large survey of planetary
systems. Recently, we have advanced from measuring occurrence
rates as a function of planet size and period to characterizing the
intrinsic distribution of planetary system
architectures. ...
Before the "geometric Satake equivalence" there was a
decategorified version of it which however contained most of its
essential features. In my talk I will talk about some of the ideas
which have led to this theory. In particular I will explain
the...
Several well-known open questions (such as: are all groups
sofic/hyperlinear?) have a common form: can all groups be
approximated by asymptotic homomorphisms into the symmetric
groups Sym(n)Sym(n) (in the sofic case) or the finite
dimensional...