MATHEMATICAL PICTURE LANGUAGE
June 22, 2021 10:00 amThe 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...
Read more
MATHEMATICAL PICTURE LANGUAGE
May 25, 2021 10:00 amWe 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...
Read more
MATHEMATICAL PICTURE LANGUAGE
May 18, 2021 10:00 amOne 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...
Read more
DIFFERENTIAL GEOMETRY
May 4, 2021 9:00 pmWe 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...
Read more
HARVARD-MIT ALGEBRAIC GEOMETRY
May 4, 2021 3:00 pmWe 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...
Read more
MATHEMATICAL PICTURE LANGUAGE
May 4, 2021 10:00 amLieb-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...
Read more
MATH TABLE, OPEN NEIGHBORHOOD
April 30, 2021 1:00 pmSpeaker: 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...
Read more
NUMBER THEORY
April 28, 2021 3:00 pmThe 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,...
Read more