Quantum Steenrod operations in non-monotone symplectic manifolds.

赛德尔最近介绍了量子Steenrod操作的量子上同调单调辛流形。阿曼达将致力于在一般情况下（即非单调情况下）定义这些类似物，使用Pardon的虚拟基本周期框架，她已经在硕士论文中获得了技术专长。有一些属性和应用，她可以研究;例如，如何量子Steenrod操作与其他代数运算相互作用;动力学应用;和类似物的哈密顿或拉格朗日弗洛尔上同调。

Seidel recently introduced quantum Steenrod operations on the quantum cohomology of monotone symplectic manifolds. Amanda will work on defining analogues of these in the general (i.e. non-monotone case), using Pardon's framework for virtual fundamental cycles, with which she has already acquired technical expertise during her masters' thesis. There are a number of properties and applications she can then study; for instance, how quantum Steenrod operations interact with other algebraic operations; dynamical applications; and analogues for Hamiltonian or Lagrangian Floer cohomology.