Faculty Area Research (FARS)
Organizers: Selim Amar, Shurui Liu, and Stepan Kazanin
Past Events
The theory of general relativity is known to be locally deterministic. However, it is not globally deterministic in particular because of smooth "Cauchy horizons" in the interior of black holes. Nonetheless, these smooth Cauchy horizons are expected to be unstable so that one…
Our speaker this week is John Anderson (this meeting is the last of the quarter).
Abstract: Hyperbolic pde's arise frequently in physics. In this talk, I will describe some of the types of problems that arise in the study of hyperbolic pde's, with a particular focus on…
Our speaker this week is Ravi Vakil.
Title: The space of vector bundles on spheres: algebra, geometry, topology
Abstract: Bott periodicity relates vector bundles on a topological space X to vector bundles on X \times S^2: the “moduli space” BU…
Our speaker this week is Maggie Miller.
Title: Knotted surfaces in 4-manifolds
Abstract: In this talk, I will describe some interesting results and open questions in the study of surfaces smoothly knotted in 4-manifolds. Surfaces can be…
Our first speaker for this quarter is Richard Taylor.
Title: The role of regularity in the Langlands program
Abstract: The Langlands program posits a remarkable relationship between objects in arithmetic algebraic geometry (Diophantine equations) and automorphic forms (…
Our speaker this week will be Persi Diaconis:
Title: Adding numbers and shuffling cards
Abstract: When ordinary integers are added in the usual way, 'carries' occur along the way. How do the carries go? They turn out to form an 'AMAZING matrix' (?). This same matrix occurs…
The Geometrization Theorem of Thurston and Perelman provides a roadmap to understanding topology in dimension 3 via geometric means. Specifically, it states that every closed 3-manifold has a decomposition into geometric pieces, and each piece is realizable as a finite volume quotient…
The growth of random surfaces has attracted a lot of attention in probability theory in the last ten years, especially in the context of the Kardar-Parisi-Zhang (KPZ) equation. Most of the available results are for exactly solvable one-dimensional models. In this talk I will present some recent…