Wall-crossing in abelian gauged linear sigma models
演讲者
刘秋菊
时间
2024年03月21日 08:00 至 09:00
地点
Online
线上
Zoom 638 227 8222
(BIMSA)
摘要
The input data of a gauged linear sigma model (GLSM) consist of a GIT quotient of a complex vector space V by the linear action of a reductive algebraic group G (the gauge group) and a G-invariant polynomial function on V (the superpotential) which is quasi-homogeneous with respect to a C^*-action (R symmetries) on V. GLSM invariants are virtual counts of curves in the critical locus of the superpotential. In this talk, I will describe GIT wall-crossing of genus-zero cohomological and K-theoretic GLSM invariants when the gauge group G is abelian, based on joint work with Konstantin Aleshkin.
演讲者介绍
Chiu-Chu Melissa Liu is a Professor at Columbia University in the Department of Mathematics. She received her B.S. in Mathematics from National Taiwan University in 1996 and her Ph.D. in Mathematics from Harvard University in 2002, under the supervision of Shing-Tung Yau. Liu's research focuses on algebraic geometry and symplectic geometry, particularly in areas related to mirror symmetry and enumerative geometry. She has held several prestigious positions, including a Junior Fellowship at the Society of Fellows at Harvard and an Alfred P. Sloan Research Fellowship. Liu has mentored numerous graduate students and junior faculty and is a Fellow of the American Mathematical Society. She has served as an invited speaker at major conferences worldwide, contributing significantly to the mathematical community.