Lydia Bieri (University of Michigan) Title: Black Hole Formation Abstract: Can black holes form through the focusing of gravitational waves? This was an outstanding question since the early days of general relativity. In his breakthrough result of 2008, Demetrios Chrstodoulou answered this question with “Yes!” In order to investigate this result, we will delve deeper into the […]
Pavel Etingof (MIT) Title: Quantum Groups Abstract: The theory of quantum groups developed in mid 1980s from attempts to construct and understand solutions of the quantum Yang-Baxter equation, an important equation arising in quantum field theory and statistical mechanics. Since then, it has grown into a vast subject with profound connections to many areas of mathematics, such as […]
Joe Harris (Harvard) Title: Rationality questions in algebraic geometry Abstract: Over the course of the history of algebraic geometry, rationality questions — motivated by both geometric and arithmetic problems — have often driven the subject forward. The rationality or irrationality of cubic hypersurfaces in particular have led to the development of abelian integrals (dimension one), birational geometry (dimension […]
Speaker: Lars Andersson (Max-Planck Institute for Gravitational Physics) Title: Stability of spacetimes with supersymmetric compactifications Abstract: Spacetimes with compact directions, which have special holonomy such as Calabi-Yau spaces, play an important role in supergravity and string theory. In this talk I will discuss the global, non-linear stability for the vacuum Einstein equations on a spacetime which is a cartesian product […]
Donald Rubin (Harvard) Title: Why do some universities have separate departments of statistics? And are they all anachronisms, destined to follow the path of other dinosaurs? Video | Slides
Simon Donaldson (Stony Brook) Title: The ADHM construction of Yang-Mills instantons Abstract: In 1978 (Physics Letters 65A) Atiyah, Hitchin, Drinfeld and Manin (ADHM) described a construction of the general solution of the Yang-Mills instanton equations over the 4-sphere using linear algebra. This was a major landmark in the modern interaction between geometry and physics, and the […]
Together with the School of Engineering and Applied Sciences, the CMSA will be hosting a lecture series on the Frontiers in Applied Mathematics and Computation. Talks in this series will aim to highlight current research trends at the interface of applied math and computation and will explore the application of these trends to challenging scientific, engineering, and […]
Shing-Tung Yau (Harvard) Title: Shiing-Shen Chern as a Great Geometer of 20th Century Video | Slides | Article
The Machine Learning for Multiscale Model Reduction Workshop will take place on March 27-29, 2019. This is the second of two workshops organized by Michael Brenner, Shmuel Rubinstein, and Tom Hou. The first, Fluid turbulence and Singularities of the Euler/ Navier Stokes equations, will take place on March 13-15, 2019. Both workshops will be held in room G10 of the CMSA, located at 20 Garden Street, Cambridge, […]
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