# Taipei Postdoc Seminar

## November 27, 2019 (Wed.) 11:00-12:30 Sanghyuck Moon (National Center for Theoretical Sciences) Venue: Room 638, Astro-Math. Building Title: Variational methods for an elliptic equation and system

Abstract:

We will see two elliptic problems and construct solutions by variational methods. The first problem is a singularly perturbed Neumann problem with a general nonlinearity term and spike layer solutions for the problem. The second problem is the asymptotic behavior of solutions for coupled Schroedinger equations with mixed interactions. The components of solutions exhibit partial synchronization and segregation when attractive and repulsive couplings are simultaneously large. I will explain the development of results and ideas of variational approach for these problems.

## December 4, 2019 (Wed.) 11:00-12:30 Arasteh Rad (National Center for Theoretical Sciences) Venue: Room 638, Astro-Math. Building Title: Langlands Program and Manifestations of Shtukas

Abstract:

Moduli spaces for (G-)shtukas appear as function fields analogs for Shimura varieties. This can be observed through so-called Langlands philosophy. In this talk we aim to review the big underlying picture. In addition we will discuss the construction of these spaces. We do this from a new point of view. As we will see, this may shed some light on the possible relations between these moduli spaces and some other interesting (and well-known) moduli spaces. We further briefly mention some methods to describe the local geometry of these spaces.

2016

## Jan. 3, Sheng-Fu Chiu (AS) Wrapped Microlocal Sheaves II Jan. 4, Sheng-Fu Chiu (AS) Wrapped Microlocal Sheaves III Jan. 18, Yi-ning Hsiao (University of Geneva) The E-polynomials of a stratification of the Hilbert scheme of points. May 15, Sasha Minets (IST Austria) Cohomological Hall algebras and sheaves on surfaces-- Sep. 18, Bingying Lu (AS) Riemann-Hilbert problem and Painlevé-I equation Oct. 2, Yuki Chino (NCTS) Stochastic processes in random media Oct. 16, Shih-Yu Chen (AS) On The Algebraicity of The Symmetric Sixth Power L -functions of Elliptic Modular Forms Oct. 23, Junsik Bae (NCTS) Solitary waves of the Euler-Poisson system Oct. 30, You Hung Hsu (NCTS) Shifted q=0 affine algebras. Nov. 6, Bharathwaj Palvannan (NCTS) Codimension two cycles in Iwasawa theory Nov. 13, Bochen Liu (NCTS) Interplay between analysis and combinatorics: distance, tiling, and exponential basis Nov. 20, Chen Hao (Universität Göttingen) Triply Periodic Minimal Surfaces, my recent adventures

### 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: Sheng-Fu Chiu (sfchiu@gate.sinica.edu.tw), Jia-Yuan Dai (jydai@ncts.tw)

Former organisers