Netta Engelhardt (MIT)
Title: The Cosmic Censorship Conjecture in Quantum Gravity
Abstract: Penrose’s conjecture of cosmic censorship — the prediction that naked singularities are hidden behind event horizons — is one of the most longstanding open questions about gravity and General Relativity. I will review the motivations and consequences of the conjecture, and present evidence in favor of a generalization of cosmic censorship in quantum, rather than classical gravity.
Max Zimet (Harvard University & BHI)
Title: How to build a K3 surface
Abstract: K3 surfaces are 4-dimensional Calabi-Yau manifolds which have played a central role in string theory for the past few decades, and in math for much longer. Thanks to Yau’s proof of the Calabi conjecture, we know that all K3 surfaces admit Ricci-flat metrics — i.e., are solutions of the vacuum Einstein equations. However, no such metric has ever been determined on a K3 surface (or any other non-toroidal compact Calabi-Yau manifold). In this talk, we will discuss two new explicit constructions of K3 metrics which will appear shortly in a paper with S. Kachru and A. Tripathy.