Entering an Era of Precision Stellar Astrophysics (or Fun with Stellar Radii)
Keivan Stassun
Vanderbilt University
November 6, 2018
Boundary regularity for area minimizing currents and a question of Almgren
Camillo De Lellis
Professor, School of Mathematics
November 6, 2018
Topological uniqueness of self-expanders of small entropy
Lu Wang
von Neumann Fellow, School of Mathematics
November 6, 2018
Abstract: In this talk we show that given any regular cone with entropy less than that of round cylinder, all smooth self-expanding solutions of the mean curvature flow that are asymptotic to the cone are in the same isotopy class. This is joint work with J. Bernstein.
Apriori Estimates for Einstein Manifolds
Aaron Naber
Northwestern University
November 6, 2018
Sunflowers and friends
Shachar Lovett
University of California San Diego
November 5, 2018
The Erdos-Rado sunflower conjecture is one of the tantalizing open problems in combinatorics. In my talk, I will describe several attempts on how to get improved bounds for it. These will lead to surprising connections with several other combinatorial structures, such as randomness extractors, intersecting families and DNFs.
Based on joint works with Xin Li, Noam Solomon and Jiapeng Zhang.
Workshop on Mean Curvature and Regularity
Various
November 5, 2018
Weyl Law for the phase transition spectrum and density of limit-interfaces
Marco Mendez Guaraco
Member, School of Mathematics
November 5, 2018
Abstract: The Allen-Cahn equation behaves as a desingularization of the area functional. This allows for a PDE approach to the construction of minimal hypersurfaces in closed Riemannian manifolds. After presenting and overview of the subject, I will discuss recent results regarding a Weyl Law and its consequences for the density of minimal hypersurfaces in generic metrics. This is joint work with P. Gaspar.
Some minimal submanifolds generalizing the Clifford torus
Jaigyoung Choe
KIAS
November 5, 2018
Abstract: The Clifford torus is the simplest nontotally geodesic minimal surface in S^3. It is a product surface, it is helicoidal, and it is a solution obtained by separation of variables. We will show that there are more minimal submanifolds with these properties in S^n and in R^4.
Policing the Past: The CIA and the Landscape of Secrecy
Richard Aldrich
Professor of International Security, University of Warwick
November 2, 2018
On the NP-hardness of 2-to-2 Games
Dor Minzer
Member, School of Mathematics
October 30, 2018
The Unique-Games Conjecture is a central open problem in the field of PCP’s (Probabilistically Checkable Proofs) and hardness of approximation, implying tight inapproximability results for wide class of optimization problems.
We will discuss PCPs, the Unique-Games Conjecture and some recent progress. (no familiarity with PCPs or with last week's talk are needed).