Past Events
Analysis on Metric Spaces Seminar
2021-12-10Catch-All Mathematical Colloquium
2021-11-24This colloquium will be held once a month. It will be held online for the time being. Each event consists of a one-hour talk on mathematics followed by a one-hour diversity panel discussion session.
In the mathematics part, we will hear an exciting overview talk for a general audience. November speaker is Masato Mimura from Tohoku University. In the discussion session, we will hear about the speaker's experience as a mathematician, especially in choosing fields of research. You can take inspiration from them and exchange ideas with other participants in a small group. After the sessions are over, there will be a tea time where participants can chat freely.
You can join Part I only or both parts of the colloquium. Please register before November 19, 5 pm. Click here to register!
Part I Expository math talk 3-4 pm
Speaker: Masato Mimura 見村万佐人 (Tohoku University 東北大学)
Talk Title : The Green--Tao theorem for number fields
Abstract: The celebrated Green--Tao theorem states that an upper dense subset of the set of rational primes contains arbitrarily long arithmetic progressions. Later, Tao proved that an upper dense subset of the set of Gaussian primes, namely, prime elements in the integer ring $\mathbb{Z}[\sqrt{-1}]$ of the number field $\mathbb{Q}(\sqrt{-1})$ contains arbitrarily shaped constellations. (We will explain the precise statement in the talk.) In the paper, Tao asked whether the same conclusion holds in the setting of arbitrary number fields. In this joint work with Wataru Kai (Tohoku U.), Akihiro Munemasa (Tohoku U.), Shin-ichiro Seki (Aoyama Gakuin U.) and Kiyoto Yoshino (Tohoku U.), we answer Tao's question in the affirmative. We have an application to the setting of a binary quadratic form. More precisely, given a form $F$, we study combinatorics on the set of pair of integers $(x,y)$ for which $F(x,y)$ is a rational prime. No serious background of number theory is required for this talk.
Part II Diversity Panel Discussion 4-5 pm
Fractals and the dynamics of Thurston maps
2021-11-19Speaker: Professor Mario Bonk, UCLA
Title: Fractals and the dynamics of Thurston maps
Abstract:
Catch-All Mathematical Colloquium
2021-10-21The colloquium will be held once a month. It will be held online for the time being. Each event consists of a one-hour talk on mathematics followed by a one-hour diversity panel discussion session.
In the mathematics part, we will hear an exciting overview talk for a general audience. October speaker is Megumi Harada, Professor of McMaster University. In the discussion session, we will hear about the speaker's personal journey as a mathematician. You can take inspiration from them and exchange ideas with other participants in a small group. After the sessions are over, there will be a tea time where participants can chat freely.
You can join Part I only or both parts of the colloquium. Please register before Oct 18th, 5 pm. Click here to register!
Quasiconformal and Sobolev mappings in metric measure spaces
2021-10-14Analysis on Metric Spaces Fall Seminar
Title: Quasiconformal and Sobolev mappings in metric measure spaces
Speaker: Panu Lahti, Chinese Academy of Sciences
Abstract: Starting from Gehring, the equivalence between the metric, geometric, and analytic def- initions of quasiconformality has been investigated by various authors. There are many results stating that if a mapping is metrically quasiconformal, perhaps only in a relaxed sense, then it is analytically quasiconformal, or at least a Sobolev mapping. In recent joint work with Xiaodan Zhou, we have shown an improved version of such a result, which seems to detect more Sobolev mappings than previous results in the literature. I will discuss these results as well as the general strategy of the proofs.
On weak solutions to first-order discount mean field games
2021-10-08Analysis on Metric Spaces Fall Seminar
Title: On weak solutions to first-order discount mean field games
Speaker: Hiroyoshi Mitake, University of Tokyo
2021 Summer Analysis on Metric Spaces Seminar
2021-08-27Title : CURVE SHRINKING FLOW IN CARNOT GROUPS
Speaker: Luca Capogna, Smith College
2021 Summer Analysis on Metric Spaces Seminar
2021-08-11Title: Lipschitz mappings, metric differentiability, and factorization through metric trees
Speaker: Piotr Hajlasz, University of Pittsburgh
2021 Summer Analysis on Metric Spaces Seminar
2021-07-16Elisa Negrini, Worcester Polytechnic Institute
Title: System identification through Lipschitz regularized deep neural networks
2021 Summer Analysis on Metric Spaces Seminar
2021-06-25Title: Localization and isoperimetric inequalities
Speaker: Shin-ichi Ohta, Osaka University and RIKEN