Taipei Postdoc Seminar


Upcoming Talk


May 31 (Wed.) 11:00-12:30
Dr. Hsiao-Fan Liu (Academia Sinica)

Venue: Room 202, Astro-Math. Building

Title: An introductory on discrete versions of Painlevé equations


Abstract:

The six Painlevé equations $(P_I − P_{VI})$ play an important role in many areas of mathematics and physics, and the connection with integrable systems has been well-established. Recently, discrete integrable systems have gained more attention and hence it is natural to consider discrete versions of Painlevé equations. In this talk, we will present discrete forms of the $P_{III}$, $P_{IV}$ and $P_V$. These mappings go over to the Painlevé equations in the continuous limit. The singularity confinement test as a discrete analogue of the Painlevé property will be also discussed.


June 7 (Wed.) 11:00-12:30
Dr. Taiji Marugame (Academia Sinica)

Venue: Room 202, Astro-Math. Building

Title: Construction of global CR invariants via Cheng-Yau metric


Abstract:

Strictly pseudoconvex domains in a Stein manifold admit a complete Kahler-Einstein metric called the Cheng-Yau metric. In this talk, I present two methods of constructing global CR invariants of the boundary using this metric. The first is the renormalized Chern-Gauss-Bonnet formula, which gives a higher dimensional generalization of the Burns-Epstein invariant. The second is the renormalized volume, which is shown to agree with the integral of the CR Q-prime curvature of the boundary. The second construction is joint work with K. Hirachi and Y. Matsumoto.



June 14 (Wed.) 11:00-12:30
Dr. Chih-Whi Chen (National Center for Theoretical Sciences)

Venue: Room 201, Astro-Math. Building

Title: Affine periplectic Brauer algbera


Abstract:

The periplectic Lie superalgebra p(n) is a superanalogue of the orthogonal or symplectic Lie algebra preserving an odd non-degenerate symmetric or skew-symmetric bilinear form. Moon used generator and relation to define the periplectic Brauer algebra, which can be used to describe the endomorphism algebra of tensor power of natural representations of p(n). Recently, Kujawa and Tharp gave diagrammatic description of this algebra.

In this talk, we will first recall Moon's Schur-Weyl duality for p(n). We will formulate a degenerate affine version of periplectic Brauer algebra including its diagram interpretation. This is a joint work with Yung-Ning Peng.





Previous Talks


2016

Sep.14, Jyun-Ao Lin (AS) On the number of commuting matrices and Kac polynomials
Sep.21, Chih-Wei Chen (NCTS) The Ricci flow - a chronological survey
Sep.29, Hiep Dang (NCTS) Identities involving (doubly) symmetric polynomials and integrals over Grassmannians
Oct.5, Haitao Wang (AS) Wave structures in Bolzmann and Landau equations
Oct.12, Kazuya Kawasetsu (AS) Uniqueness of a class of holomorphic vertex operator algebras of central charge 24

Oct.19, Edward Ho (NCTS) Blob-Based Super-Resolution Image Reconstruction
Oct.26, Yu-Yen Chien (NCTS) An Introduction to Hyperbolic Groups
Nov.2, Atsushi Yamamori (AS) An How to compute Bergman kernel functions
Nov.9, Chan-Liang Chung (AS) Sum formulas of multiple zeta values with arguments are multiple of a positive integer
Nov.16, Jui-En Chang (NTU) The bounds of Hausdorff measure of nodal sets
Nov.23, Nadim Rustom (NCTS) A Promenade Along Modern Algebraic Number Theory
Dec.7, Manas Kar (NCTS) Inverse parameter identification problems for p-Laplace equation
Dec.14, Liao He (AS) Enumeration of convex polytope
Dec.21, Tse-Chung Yang (AS) Counting isoclasses superspecial abelian surfaces over finite fields


2017

Jan.4, Gyeongha Hwang (NCTS) Deterministic and probabilistic analysis of nonlinear dispersive equation
Feb.22, Tomohiro Uchiyama(NCTS) Complete reducibility, geometric invariant theory, and spherical buildings
Mar.1, Yusuke Shimabukuro (AS) Stochastic six vertex model
Mar.15, Yongjie Wang (NCTS) Central Extensions of Matrix Lie Superalgebras
Mar.22, Chien-Hao Huang (NCTS) To collapse or not to collapse, that is the question.
Mar.29, Saud Hussein (AS) Sieve methods in analytic number theory.
Apr.12, Guokuan Shao (AS) Equidistribution of zeros of random holomorphic sections
Apr.19, Tien-Tsan Shieh (NCTS) Ground State Patterns and Phase Transition of Spin-1 Bose-Einstein Condensates via Γ-Convergence Theory
Apr.26, Chi-Kwong Fok (NCTS) Representation stability and moduli spaces
May 3, Yasuhiro Terakado (As) The determinant and the discriminant of a complete intersection of even dimension
May 10, Wan-Yu Tsai (AS) A brief introduction to nilpotent orbits and the orbit philosophy
May 17, Yang-Kai Lue (NCTS) The stability of self-shrinkers of mean curvature flow
May 24, Jia-Rui Fei (NCTS) The recreation I did for the past five years





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: Yu-Yen Chien (yychien@ncts.ntu.edu.tw), Jyun-Ao Lin (jalin@math.sinica.edu.tw)