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Quantum Gravity Demystified
One fruitful strategy of tackling quantum gravity is to adapt quantum field theory to the situation where spacetime geometry is dynamical, and to implement diffeomorphism symmetry in a way that...
Oct 27, 2022
Evaporating Black-to-White Hole
What is the ultimate fate of black holes? Since the discovery of Hawking evaporation process, the issue has been much discussed. Loop quantum gravity suggests that black hole could ultimately...
Oct 10, 2019
Integrable line defects and 4d Chern-Simons theory
I discuss an application of a recent construction of 2d integrable field theories from 4d Chern-Simons theory by Costello and Yamazaki. After a review of the construction, I consider integrable...
Oct 17, 2019
No entailing laws, but enablement in the evolution of the biosphere
Biological evolution is a complex blend of ever changing structural stability, variability and emergence of new phenotypes, niches, ecosystems. We wish to argue that the evolution of life marks the...
Oct 17, 2019
Gabriela González, Louisiana State University
Albert Einstein predicted a century ago the existence of gravitational waves – ripples in the fabric of spacetime moving at the speed of light. It was believed that these ripples...
Oct 23, 2019
Equivariant localization and Atiyah-Segal completion for Hochschild and cyclic homology
There is a close relationship between derived loop spaces, a geometric object, and Hochschild homology, a categorical invariant, made possible by derived algebraic geometry, thus allowing for both intuitive insights...
Oct 24, 2019
Central extension in gravity
The asymptotic symmetry charge algebra of certain class of spacetimes could have a nontrivial central extension, which measures the non-equivariance of the charges of the large gauge transformations. The Cardy...
Oct 24, 2019
3D Mirror Symmetry and HOMFLY-PT Homology
A recent construction of HOMFLY-PT knot homology by Oblomkov-Rozansky has its physical origin in “B-twisted” 3D N=4 gauge theory, with adjoint and fundamental matter. Mathematically, the construction uses certain categories...
Oct 31, 2019
Dimensionally Restricted Causal Sets
We study dimensionally restricted non-perturbative causal set quantum dynamics in two and three spacetime dimensions with non-trivial global spatial topology. The causal set sample space is generated from causal embeddings...
Oct 31, 2019
Bridgeland stability conditions relative to a boundary
In this talk I will present a construction of relative Bridgeland stability conditions that appeared in my work on stability of topological Fukaya categories of surfaces. This construction gives a...
Nov 07, 2019