« Return of the IHES Postdoc Seminar »

 

Abstract: I will start by reviewing the main features of Kuznetsov's Homological projective duality (HPD for short).  Then I will explain how, inspired by Calabrese and Thomas' construction of derived equivalent Calabi-Yau 3-folds, one gets the idea of considering a natural HPD problem for linear systems with base loci. Inparticular, this yields a process for constructing new HP duals from old. Finally, we will explicitly apply the procedure in the example of singular cubic 4-folds. This is joint work with Zak Turcinovic (arXiv:1511.09398).

Séminaire Laurent Schwartz — EDP et applications

Séminaire Laurent Schwartz — EDP et applications

Séminaire Laurent Schwartz — EDP et applications

The construction of braneworlds localizing massless gravity on subsurfaces of spacetimes with infinite transverse spaces has remained an open problem. There have even been some "no-go" theorems claiming to show that such constructions are not possible. The talk will present a resolution of this problem simply based upon a hyperbolic solution of type IIA theory with a superposed Neveu-Schwarz 5-brane. Gravity is bound to the brane surface owing to the existence of a single normalizable bound state of the transverse space Laplacian.

The black hole firewall problem is a conflict between three important physical principles: causality, unitarity, and the equivalence principle. I will describe how the conflict arises in the description of Hawking radiation from a black hole, and explain why resolving the problem is crucially important for our understanding of quantum gravity. I will briefly describe possible resolutions of the conflict. Solving the firewall problem is likely to teach us something important about quantum gravity.