# Taipei Postdoc Seminar

## Sep. 20 (Wed.) 11:00-12:30 Dr. Hiep Dang (National Center for Theoretical Sciences) Venue: Room 638, Astro-Math. Building Title: SQuantum cohomology of the Lagrangian Grassmannian

Abstract:

The Lagrangian Grassmannian, denoted by $LG(n)$, is a homogeneous space of Lagrangian subspaces of a complex symplectic vector space of dimension $2n$. This talk is devoted to the small quantum cohomology ring of $LG(n)$. More concretely, we shall focus on the quantum structure constants and explain how to compute them. Geometrically, these are $3$-point, genus $0$ Gromov-Witten invariants of $LG(n)$ which count the number of rational curves contained in $LG(n)$ intersecting with three Schubert varieties in general position. By the quantum-classical principle of Buch-Kresch-Tamvakis, we show that the quantum structure constants can be computed as intersection numbers on the usual Grassmannian.

2016

## 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 May 31, Hsiao-Fan Liu (As) An introductory on discrete versions of Painlevé equations Jun. 7, Taiji Marugame (AS) Construction of global CR invariants via Cheng-Yau metric Jun. 14, Chih-Whi Chen (NCTS) Affine periplectic Brauer algbera Jun. 28, Catalin Carstea (NCTS) Uniqueness for the inverse boundary value problem of anisotropic elasticity with piecewise constant coefficients -- Sep. 6, Hsieh-Yung Lin (Universitaet Bonn) Some pieces of frontiers between symplectic, Kahler, and algebraic geometry

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### The Taipei Postdoc Seminar is a weekly seminar that is organized jointly by 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: Chih-Wei Chen (chencw@ncts.ntu.edu.tw), Jyun-Ao Lin (jalin@math.sinica.edu.tw)

Former organisers