On November 1, 2019 the CMSA will be hosting a conference organized by Seven Bridges Genomics. The workshop will be held in room G10 of the CMSA, located at 20 Garden Street, Cambridge, MA. Projects currently underway around the world are collecting detailed health and genomic data from millions of volunteers. In parallel, numerous healthcare systems have announced commitments […]
Speaker: Nima Arkani-Hamed (IAS) Title: Spacetime, Quantum Mechanics and Positive Geometry at Infinity
As part of the program on Spacetime and Quantum Mechanics, Total Positivity and Motives, the CMSA will host a “Master Class Workshop” on October 28-30, 2019. Each day of the workshop will feature an intensive full day of pedagogical lectures, with the aim of bringing actively interested but non-expert physicists and mathematicians up to speed on the featured […]
https://youtu.be/WEpgH5Anjdg?si=U1LMgvou7OAGE8K8 On October 22, 2019, the CMSA held the third annual Ding Shum lecture. Speaker: Ronald L. Rivest (MIT) Title: Election Security Ronald L. Rivest is an Institute Professor at the Massachusetts Institute of Technology. He is a member of the Electrical Engineering and Computer Science Department and the Computer Science and Artificial Intelligence Laboratory […]
Speaker: Aram Harrow (MIT) Title: Monogamy of entanglement and convex geometry Abstract: The SoS (sum of squares) hierarchy is a flexible algorithm that can be used to optimize polynomials and to test whether a quantum state is entangled or separable. (Remarkably, these two problems are nearly isomorphic.) These questions lie at the boundary of P, NP and the unique games […]
On October 16-18, 2019 the CMSA hosted a workshop on Noncommutative Analysis, Computational Complexity, and Quantum Information. This workshop focuses on linking three different rapidly developing areas: noncommutative real algebraic geometry (RAG), theory of computation and quantum information theory. This mix of overlapping but independently developing topics should lead to a stimulating flow of tools and important […]
Speaker: Spiro Karigiannis (University of Waterloo) Title: Cohomologies on almost complex manifolds and their applications Abstract: We define three cohomologies on an almost complex manifold (M, J), defined using the Nijenhuis-Lie derivations induced from the almost complex structure J and its Nijenhuis tensor N, regarded as vector-valued forms on M. One of these can be applied to distinguish non-isomorphic non-integrable […]
Speaker: Pavel Etingof (MIT) Title: Double affine Hecke algebras Abstract: Double affine Hecke algebras (DAHAs) were introduced by I. Cherednik in the early 1990s to prove Macdonald's conjectures. A DAHA is the quotient of the group algebra of the elliptic braid group attached to a root system by Hecke relations. DAHAs and their degenerations are now central objects of representation […]
Speaker: Bill Helton (UC San Diego) Title: A taste of noncommutative convex algebraic geometry Abstract: The last decade has seen the development of a substantial noncommutative (in a free algebra) real and complex algebraic geometry. The aim of the subject is to develop a systematic theory of equations and inequalities for (noncommutative) polynomials or rational functions of matrix variables. […]
On September 10-11, 2019, the CMSA hosted a second workshop on Topological Aspects of Condensed Matter. New ideas rooted in topology have recently had a major impact on condensed matter physics, and have led to new connections with high energy physics, mathematics and quantum information theory. The aim of this program will be to deepen these […]
Recent developments have poised this area to make serious advances in 2019, and we feel that bringing together many of the relevant experts for an intensive semester of discussions and collaboration will trigger some great things to happen. To this end, the organizers will host a small workshop during Fall 2019, with between 20-30 participants. […]
https://www.youtube.com/watch?v=udXt_9SIceE&list=PL0NRmB0fnLJSOMolEshd16v74I5YGb_7N On August 29-31, 2019 the Center of Mathematical Sciences and Applications hosted a workshop on Foundations of Computational Science. The workshop was held in room G10 of the CMSA, located at 20 Garden Street, Cambridge, MA. This workshop was organized by David Xianfeng Gu. Speakers: Sarah Adel Bargal, Boston University Jianfeng Chen, Harvard Tat Seng […]