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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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An algebraic model for smoothing Calabi-Yau varieties

DIFFERENTIAL GEOMETRY

May 4, 2021      9:00 pm
Speaker: Kwokwai Chan - Chinese University of Hong Kong

We are interested in smoothing of a degenerate Calabi-Yau variety or a pair (degenerate CY, sheaf). I will explain an algebraic framework for solving such smoothability problems. The idea is...
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Refined unramified cohomology

HARVARD-MIT ALGEBRAIC GEOMETRY

May 4, 2021      3:00 pm
Speaker: Stefan Schreieder - University of Hannover

We introduce refined unramified cohomology and prove some general comparison theorems to cycle groups. Our approach has several applications. For instance, it allows to construct the first example of a...
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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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Special Joint Math Table/Open Neighborhood Seminar

MATH TABLE, OPEN NEIGHBORHOOD

April 30, 2021      1:00 pm
Speaker: Kenz Kallal and Lux Zhao - Harvard University

Speaker: Kenz Kallal (Harvard) Title: The Arthur–Selberg trace formula and some applications to arithmetic statistics Speaker: Lux Zhao (Harvard) Title: The history and mathematics of the axiom of choice Go here to...
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From Ramanujan to K-theory

NUMBER THEORY

April 28, 2021      3:00 pm
Speaker: Frank Calegari - University of Chicago

The Rogers-Ramanujan identity is an equality between a certain “q-series” (given as an infinite sum) and a certain modular form (given as an infinite product). Motivated by ideas from physics,...
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