This seminar is held on Tuesdays at 4pm in 210 University Hall.

Fall Quarter, 2022

• October 11, Song Yu (Columbia University)
  Open Crepant Transformation Conjecture for toric Calabi-Yau 3-orbifolds
  Abstract: The Crepant Transformation Conjecture of Ruan proposes an identification of the quantum cohomologies and Gromov-Witten theories of K-equivalent manifolds or orbifolds. In this talk, I will discuss various formulations and known cases of the conjecture, and focus on its extension to open Gromov-Witten theory. I will further present an approach to the conjecture for toric Calabi-Yau 3-orbifolds based on techniques from mirror symmetry. The talk is based on joint work with Bohan Fang, Chiu-Chu Melissa Liu, and Zhengyu Zong.
• October 20, Konstantin Aleshkin (Columbia University)
  Special Time/Location: 10am in 260 Tykeson Hall
  Central charges in abelian GLSM
  Abstract: GLSMs are enumerative theories associated to critical loci of functions in GIT quotients and generalize Gromov-Witten theory. A large part of structure of such a theory can be captured by certain generating series of genus 0 invariants called central charges which depend on a matrix factorization of the GLSM.
  These generating series remarkably have two integral representations: Euler type and Mellin-Barnes type. In this talk I will outline our construction of central charges and explain how the integral representations lead to mirror symmetry, Higgs-Coulomb correspondence and wall crossing phenomena for GLSM invariants.
• November 15, Siu-Cheong Lau (Boston University)
  Mirror symmetry for quiver algebroid stacks
  Abstract: Quiver algebroid stacks provide a unified setting for SYZ and noncommutative mirror symmetry. In this talk, I will first provide the background about SYZ and quiver mirror constructions. Then I will explain the terminologies of quiver algebroid stacks and twisted complexes. Finally, I will explain how such geometric objects arise from our mirror construction.
• November 29, Algebra course meeting

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