CMSA Math-Science Literature Lecture: Deep Networks from First Principles
Yi MaPhoto Copyright Noah Berger / 2019 Yi Ma (University of California, Berkeley) Title: Deep Networks from First Principles Abstract: In this talk, we offer an entirely “white box’’ interpretation of deep (convolution) networks from the perspective of data compression (and group invariance). In particular, we show how modern deep layered architectures, linear (convolution) operators and […]
A Bayesian neural network predicts the dissolution of compact planetary systems
https://youtu.be/VhseP2V3NXg Speaker: Miles Cranmer - Princeton University Title: A Bayesian neural network predicts the dissolution of compact planetary systems Abstract: Despite over three hundred years of effort, no solutions exist for predicting when a general planetary configuration will become unstable. I will discuss our deep learning architecture (arxiv:2101.04117) which pushes forward this problem for compact systems. […]
CMSA Math-Science Literature Lecture: Quantum error correcting codes and fault tolerance
Peter Shor (MIT) Title: Quantum error correcting codes and fault tolerance Abstract: We will go over the fundamentals of quantum error correction and fault tolerance and survey some of the recent developments in the field. Talk chair: Zhengwei Liu Video
Memorial Conference for the founders of index theory: Atiyah, Bott, Hirzebruch, and Singer
In 2021, the CMSA hosted a lecture series on the literature of the mathematical sciences. This series highlights significant accomplishments in the intersection between mathematics and the sciences. Speakers include Edward Witten, Lydia Bieri, Simon Donaldson, Michael Freedman, Dan Freed, and many more. Videos of these talks can be found in this Youtube playlist. https://youtu.be/vb_JEhUW9t4 […]
CMSA Math-Science Literature Lecture: Isadore Singer’s Work on Analytic Torsion
Edward Witten (IAS) Title: Isadore Singer’s Work on Analytic Torsion Abstract: I will review two famous papers of Ray and Singer on analytic torsion written approximately half a century ago. Then I will sketch the influence of analytic torsion in a variety of areas of physics including anomalies, topological field theory, and string theory. This talk is […]
CMSA Math-Science Literature Lecture: On the History of quantum cohomology and homological mirror symmetry
Maxim Kontsevich (IHÉS) Title: On the History of quantum cohomology and homological mirror symmetry Abstract: About 30 years ago, string theorists made remarkable discoveries of hidden structures in algebraic geometry. First, the usual cup-product on the cohomology of a complex projective variety admits a canonical multi-parameter deformation to so-called quantum product, satisfying a nice system of differential […]
The Ramanujan Machine: Using Algorithms for the Discovery of Conjectures on Mathematical Constants
https://youtu.be/h0FW7l7z-C4 Speaker: Ido Kaminer, Technion – Israel Institute of Technology, Faculty of Electrical Engineering Title: The Ramanujan Machine: Using Algorithms for the Discovery of Conjectures on Mathematical Constants Abstract: In the past, new conjectures about fundamental constants were discovered sporadically by famous mathematicians such as Newton, Euler, Gauss, and Ramanujan. The talk will present a […]
Neural Theorem Proving in Lean using Proof Artifact Co-training and Language Models
https://youtu.be/EXpmbAfBNnw Speaker: Jason Rute, CIBO Technologies Title: Neural Theorem Proving in Lean using Proof Artifact Co-training and Language Models Abstract: Labeled data for imitation learning of theorem proving in large libraries of formalized mathematics is scarce as such libraries require years of concentrated effort by human specialists to be built. This is particularly challenging when applying […]