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Euclidean quantum field theory: axioms and automorphic forms

MATHEMATICAL PICTURE LANGUAGE

May 12, 2020      10:00 am
Speaker: Werner Nahm - Dublin Institute for Advanced Study

The partition functions of euclidean quantum field theory can be described as functions on the moduli space of compact manifolds with Riemanninan metric that have few generalized derivatives. The conventional...
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The information in a wave

MATHEMATICAL PICTURE LANGUAGE

May 5, 2020      10:00 am
Speaker: Roberto Longo - University of Rome Tor Vergata

Suppose that some information is transmitted by an undulatory signal. In Classical Field Theory, the stress-energy tensor provides the energy-momentum density of the wave packet at any time. But, how...
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Graphical proofs for fault-tolerant computation

MATHEMATICAL PICTURE LANGUAGE

April 28, 2020      10:00 am
Speaker: Daniel Gottesman - Perimeter Institute

Experimentalists are getting better and better at building qubits, but no matter how hard they try, their qubits will never be perfect. In order to build a large quantum computer, we...
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Kochen, Specker, Bell, and Others

MATHEMATICAL PICTURE LANGUAGE

April 21, 2020      10:00 am
Speaker: Jurg Frohlich - ETH - Zurich

Work of Ernst Specker (1960), Simon Kochen and Ernst Specker (1967), and John Bell (1964) concerning the non-existence of a hidden-variables theory reproducing the predictions of Quantum Mechanics is reviewed....
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Evolution of NLS with Bounded Data

MATHEMATICAL PICTURE LANGUAGE

April 14, 2020      10:00 am
Speaker: Thomas Spencer - Institute for Advanced Study, Princeton

via Zoom Video Conferencing:  https://harvard.zoom.us/j/779283357 We study the nonlinear Schroedinger equation (NLS) with bounded initial data which does not vanish at infinity. Examples include periodic, quasi-periodic and random initial data....
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Equivalence of Helicity and Euclidean Self-Duality for Gauge Fields

MATHEMATICAL PICTURE LANGUAGE

April 7, 2020      10:00 am
Speaker: Leonard Gross - Cornell University

via Zoom Video Conferencing: https://harvard.zoom.us/j/779283357 Circularly polarized light (i.e. helicity) is a concept defined in terms of plane wave expansions of solutions to Maxwell's equations.  We wish to find  an...
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Liquid Crystals and the Heilmann-Lieb Model

MATHEMATICAL PICTURE LANGUAGE

March 31, 2020      10:00 am
Speaker: Ian Jauslin - Princeton University

via Zoom Video Conferencing:  https://harvard.zoom.us/j/779283357 A liquid crystal is a phase of matter in which order and disorder coexist: for some degrees of freedom, there is order, whereas for others,...
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**CANCELED** Variational quantum algorithms: obstacles and opportunities

MATHEMATICAL PICTURE LANGUAGE

March 10, 2020      3:00 pm
Speaker: Sergey Bravyi - IBM and Perimeter Institute

Variational quantum algorithms such as VQE or QAOA aim to simulate low-energy properties of quantum many-body systems or find approximate solutions of combinatorial optimization problems. Such algorithms employ variational states...
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