# Taipei Postdoc Seminar

## May 18 (Wed.) 14:00-15:00 Seonghyeon Jeong (NCTS) Venue: Lecture Hall 5F, Cosmology Building (NTU Campus) Title: Introduction to the Optimal Transportation Problem and the Monge-Ampere Equation

Abstract:
Since the problem was formulated by G. Monge in 18C, there was not a lot of progress on the optimal transportation problem until L. Kantorovich found the relaxed problem. After L. Kantorovich, there was a lot of progress in the optimal transportation problem by many mathematicians. One of the important discoveries is that the solution of the optimal transportation problem is very closely related to a PDE called the Monge-Ampere equation. Therefore, studying some properties of the solutions to the optimal transportation problem (for example, regularity of the solution) became studying the Monge-Ampere equation.

In this talk, I will talk about the formulation of the optimal transportation problem, Kantorovich's work, and the relation to the Monge-Ampere equation. To simplify some arguments, the cost function of the optimal transportation, we will use the distance square cost function $\left | x-y \right |^{2}/2$. If time permits, I will introduce some regularity results in the Monge-Ampere equation.

## Jan. 5, Jun-Wen Peng (NCTS) Rigid Geometry: Berkovich Spaces, Perfectoid Spaces, and their Application on Arithmetic Dynamics Jan. 19, Albert Wood (NTU) Gluing Constructions in Geometric Analysis Feb. 16, Ryota Mikami (AS) Log-concavity and Matroids Mar. 2, Harrison I-Yuan Chen (AS) Traces of convolution categories Mar. 16, Ryotaro Harada (Japan Society for the Promotion of Science) n Some Linear Independence Results for Special Values of Thakur Hypergeometric Functions Apr. 6, Tsung-Wen Yen (NSYU) Investigating and understanding extreme events in the financial market using methods based on “algebraic topology” Apr. 20, Brian Harvie (NCTS) Static manifolds and quasi-local mass in general relativity May 4, Jia-Wei Lin (NYCU) Structure-Preserving Methods for Computing Complex Band Structures of Three Dimensional Photonic Crystals

### The Taipei Postdoc Seminar is a weekly seminar that is organized jointly by the Institute of Mathematics of Academia Sinica and the National Center for Theoretical Sciences during the regular academic year. The seminar is held in these two mathematical institutions, with each one of them hosting the event approximately once every two weeks. The National Taiwan University, Academia Sinica, and the NCTS, together employ a significant number of postdoctoral fellows in mathematics from all over the world every year. The diverse scientific and cultural backgrounds of these postdocs create a unique environment of learning, and the goal of the Taipei Postdoc Seminar is to take advantage of this opportunity by bringing together all these postdocs once in a week in an informal-style seminar to enhance discussions and exchange of ideas among the participants. It is our belief that not only will this seminar encourage and eventually lead to more collaboration among mathematicians in Taipei, but it will also give the participants a chance to broaden their own scientific viewpoints. It is our hope that this seminar will greatly enrich the academic experience of the postdoctoral fellows during their stay in Taipei. Organizers: Jun-Wen Peng (wayne.peng@ncts.tw), Yi-Sheng Wang (yisheng@gate.sinica.edu.tw)

Former organisers

## Yu-Yen Chien (NCTS):Sep. 2016~Jun. 2017 Jyun-Ao Lin (AS): Sep. 2016~May 2018 Yang-Kai Lue (NCTS): Sep. 2017~May 2018 Chien-Hsun Wang (NCTS): Sep. 2018~May 2019 Sheng-Fu Chiu (AS): Sep. 2018~June 2020 Jia-Yuan Dai (NCTS): Sep. 2019~June 2020 Wei-Bo Su (AS): Sep. 2020~June 2021 Peng-Jie Wong (NCTS): Sep. 2020~June 2021

Group_Photo_20170628 HERE