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Coordinate Charts on Character Varieties via Non-abelianization
Classical work by Thurston in the theory of surfaces gives symplectic co-ordinate charts on Teichmüller space, associated to quadratic differentials. Motivated by wall crossing in 4d field theories Gaiotto, Moore...
Feb 27, 2020
Deep neural networks beyond the limit of infinite width
A scientific understanding of modern deep learning is still in its early stages. As a first step towards understanding the learning dynamics of neural networks, one can simplify the problem...
Feb 28, 2020
Precision microstate counting of AdS black hole entropy
I will describe how within eleven dimensional supergravity one can compute the logarithmic correction to the Bekenstein-Hawking entropy of certain magnetically charged asymptotically AdS_4 black holes with arbitrary horizon topology...
Mar 03, 2020
On the tensor product structure of general covariant systems
Defining a generic quantum system requires, together with a Hilbert space and a Hamiltonian, the introduction of an algebra of observables, or equivalently a tensor product structure. Assuming a background...
Mar 03, 2020
Entanglement entropy of highly excited eigenstates of many-body lattice Hamiltonians
The average entanglement entropy of subsystems of random pure states is (nearly) maximal. In this talk, we discuss the average entanglement entropy of subsystems of highly excited eigenstates of integrable...
Mar 04, 2020
Explicit quantum weak coin flipping protocols with arbitrarily small bias
We investigate weak coin flipping, a fundamental cryptographic primitive where two distrustful parties need to remotely establish a shared random bit. A cheating player can try to bias the output...
Mar 04, 2020
Affine Beilinson-Bernstein at the critical level for GL_2
There has long been interest in Beilinson-Bernstein localization for the affine Grassmannian (or affine flag variety). First, Kashiwara-Tanisaki treated the so-called negative level case in the 90's. Some ten years...
Mar 05, 2020
Homology of the affine Grassmannian and quantum cohomologies
Let G be a complex reductive group, and X be any smooth projective G-variety. In this talk, we will construct an algebra homomorphism from the G-equivariant homology of the affine...
Mar 05, 2020
Rebooting Canonical Quantum gravity
In this talk, we present a new outlook on canonical quantum gravity and its coupling to matter. We will show how this fresh perspective combines the critical elements of holography...
Mar 05, 2020