Title and Abstract

Manabu Akaho: A simplified proof of Gromov's theorem

Kwokwai Chan: Geometric quantization via SYZ transforms

Abstract: I will explain how the independence of the Hilbert space on the choice of polarizations, a well-known problem in geometric quantization, follows from an application of SYZ transforms in a specific setting. This is based on joint work with Yat-Hin Suen, which was substantially supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. CUHK14314516 & CUHK14302617).

Siu-Cheong Lau: Immersed Lagrangians: the origin of SYZ wall-crossing

Abstract: Strominger-Yau-Zaslow proposed to understand mirror symmetry via duality of Lagrangian torus fibrations. The main difficulty is quantum correction coming from singular fibers. In this talk, I will explain how to work out the quantum corrections from deformations of immersed Lagrangians. Examples include Seidel Lagrangian and its suspension, and the immersed two-sphere which is the most generic singular SYZ fiber. It consists of joint works with Cheol-Hyun Cho, Hansol Hong and Yoosik Kim.

Naichung Conan Leung: Categorical Plucker formula

Abstract: In this talk, I will explain intersection theory of complex Lagrangian submanifolds and how these derived categories changes under Mukai flop. This is a joint work with Qingyuan Jiang and Ying Xie.

Kaoru Ono: Examples of superheavy sets

Kazushi Ueda: Multidimensional scaling as many-body problems

Abstract: Multidimensional scaling is a method to visualize finite metric space by embedding it to a low-dimensional Euclidean space with "as small distortion as possible". In this talk, we propose a new cost function to measure "distortion", and discuss its stationary points in examples. This is a joint work with Makoto Miura.

Chien-Hsun Wang: Bridgeland Stability Conditions on Quivers of Affine Type A

Abstract: We study Bridgeland stability conditions on a Calabi-Yau-N category associated to the module over the dg Ginzburg algebra of the affine A_n quiver which can be geometrically realized by meromorphic quadratic differentials on Riemann surfaces. We will establish a relationship between the space of stability conditions of derived categories of quiver algebras and the space of quadratic differentials by considering the set of coloured quiver mutation classes. In addition, we determine the auto-equivalence group as the braid group of affine type A.