3월 13일, 20일 세미나 안내

[Sangjin Lee]

동료 연구자 분들께,

안녕하세요. 이상진 입니다. 다음 두 건의 세미나를 안내 해드립니다. 

1. 3월 13일 세미나.

지난 번에 안내 드렸던 금주 금요일(3월 13일) 세미나의 줌 정보를 포함하여 전달 드립니다. 

- 시간 및 장소: 3월 13일 금요일 10-12시, 129동 309호

- 연사: 정정우

- Title: Nakajima Quiver Varieties and Representations of Kac-Moody Algebras

- Abstract: Nakajima quiver varieties appear in various fields, including symplectic resolutions, instanton moduli spaces, and representation theory. In this talk, I will introduce the basic notions of quiver representations and outline the construction of quiver varieties using Geometric Invariant Theory (GIT). Following this, I will explain how to construct highest-weight representations of Kac-Moody algebras via the convolution product on the Borel-Moore homology of Lagrangian subvarieties, illustrated with a tractable example.

- 줌 정보: 

https://kias-re-kr.zoom.us/j/82714616205?pwd=uhzpjAyABedTn6to3TMSHsKQlUZ2XV.1

Meeting ID: 827 1461 6205
Passcode: 531088

2. 3월 20일 세미나. 

- 시간 및 장소: 3월 20일 금요일 10-12시, 129동 309호

- 연사: Ju Tan

- Title: Deformation Theory in Local Mirror Symmetry

- Abstract: Mirror symmetry predicts a deep relation between moduli of Lagrangian branes and coherent sheaves. On the algebraic geometric side, locally, moduli stack of coherent sheaves can be described by quiver varieties via deformation theory. From the symplectic perspective, Floer theory plays the role of Ext groups, and it is natural to expect a quiver description of moduli of Lagrangian branes.

In this talk, I will recall recent results realizing Nakajima quiver varieties as deformation spaces of framed Lagrangian branes. I will then focus on bulk deformations and explain how they correspond to noncommutative deformations of the mirror quiver algebra. This yields
a symplectic framework for noncommutative ADHM-type constructions introduced by Baranovsky–Ginzburg–Kuznetsov, and the noncommutative models introduced by Kawamata. Finally, I will explain how these results fit into local homological mirror symmetry and their relation to Calabi-Yau algebras. This talk is based on an ongoing project with Hansol Hong and Siu-Cheong Lau.

- 줌 정보: 

https://kias-re-kr.zoom.us/j/82714616205?pwd=uhzpjAyABedTn6to3TMSHsKQlUZ2XV.1

Meeting ID: 827 1461 6205
Passcode: 531088

많은 관심 부탁 드립니다. 

이상진 드림.