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Invariant differential forms, graph complexes, and Feynman integrals

MATHEMATICAL PICTURE LANGUAGE

June 22, 2021      10:00 am
Speaker: Francis Brown - All Souls College, Oxford University

The commutative graph complex, defined by contracting edges in graphs, was introduced by Kontsevich in 1993. Recently, Chan-Galatius-Payne have shown that its cohomology can be identified with a piece of...
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TBD

MATHEMATICAL PICTURE LANGUAGE

June 15, 2021      10:00 am
Speaker: Jeongwan Haah - Microsoft

TBD Zoom: https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09
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TBD

MATHEMATICAL PICTURE LANGUAGE

June 1, 2021      10:00 am
Speaker: Svetlana Jitormirskaya - University of California, Irvine

TBD Zoom: https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09
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Rigorous results about Relative entropy in QFT

MATHEMATICAL PICTURE LANGUAGE

May 25, 2021      10:00 am
Speaker: Feng Xu - University of California, Riverside

We will present some rigorous results about Relative entropy in QFT, motivated in part by recent physicists’ work which however depends on heuristic arguments such as introducing cut off and...
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The Energy-Based Learning Model

MATHEMATICAL PICTURE LANGUAGE

May 18, 2021      10:00 am
Speaker: Yann LeCun - New York University and Facebook

One of the hottest sub-topics of machine learning in recent times has been Self-Supervised Learning (SSL). In SSL, a learning machine captures the dependencies between input variables, some of which...
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Lieb-Thirring bounds and other inequalities for orthonormal functions

MATHEMATICAL PICTURE LANGUAGE

May 4, 2021      10:00 am
Speaker: Rupert Frank - Ludwig-Maximilians-Universität Münchens

Lieb-Thirring inequalities are a mathematical expression of the uncertainty and exclusion principles in quantum mechanics. They were introduced by Lieb and Thirring in 1975 in their proof of stability of...
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Dimerization in quantum spin chains with O(n) symmetry

MATHEMATICAL PICTURE LANGUAGE

April 27, 2021      10:00 am
Speaker: Bruno Nachtergaele - University of California Davis

We consider spin-S quantum spin chains with a family of O(2S+1)-invariant nearest-neighbor interactions and discuss the ground state phase diagram of this family of models. Using a graphical representation for...
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Emerging frontiers in nuclear magnetic resonance

MATHEMATICAL PICTURE LANGUAGE

April 20, 2021      10:00 am
Speaker: Haribabu Arthanari - Harvard Medical School

Nuclear Magnetic Resonance (NMR) is a powerful spectroscopic technique that provides information about matter at an atomic resolution. One of the applications of NMR is to decipher the molecular architecture of biomolecules including nucleic...
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Aspects of M Theory

MATHEMATICAL PICTURE LANGUAGE

April 13, 2021      10:00 am
Speaker: Jens Hoppe - Technische Universitat Braunschweig

After giving a brief introduction to Membrane Theory and its matrix regularization, commenting on an inherent dynamical symmetry for all M-branes (the related “reconstruction-algebra” for M=1, strings, being the Virasoro algebra),...
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