Speaker: Nima Arkani-Hamed (IAS) Title: Spacetime, Quantum Mechanics and Positive Geometry at Infinity  

Speaker: Kevin Costello (Perimeter Institute) Title: A unified perspective on integrability Abstract: Two-dimensional integrable field theories, and the integrable PDEs which are their classical limits, play an important role in mathematics and physics.   I will describe a geometric construction of integrable field theories which yields (essentially) all known integrable theories as well as many new ones.  Billiard dynamical […]

Speaker: Heather Harrington (University of Oxford) Title: Algebra, Geometry and Topology of ERK Enzyme Kinetics Abstract: In this talk I will analyse ERK time course data by developing mathematical models of enzyme kinetics. I will present how we can use differential algebra and geometry for model identifiability and topological data analysis to study these the wild type dynamics of ERK […]

Speaker: Xi Yin (Harvard) Title: An Introduction to the Non-Perturbative Bootstrap Abstract: I will discuss non-perturbative definitions of quantum field theories, some properties of correlation functions of local operators, and give a brief overview of some results and open questions concerning the conformal bootstrap

Speaker: Madhu Sudan (Harvard) Title: Communication Complexity of Randomness Manipulation Abstract: The task of manipulating randomness has been a subject of intense investigation in the theory of computer science. The classical definition of this task consider a single processor massaging random samples from an unknown source and trying to convert it into a sequence of uniform independent bits.  In […]