学术报告
数学科学学院
报告题目:
Rabinowitz Floer theory and categorical formal completion
报告人:
高原(佐治亚大学)
报告时间:
11月28日 10:00-11:00
报告地点:
物质科研楼C1124
报告摘要:
Rabinowitz Floer theory originates from the studies of dynamics on a contact-type hypersurface in an convex symplectic manifold, on which fruitful algebraic structures have been studied recently, which have intriguing relations to Fukaya categories and string topology. In this talk, I will discuss a generalization of these invariants to Liouville sectors, a certain class of exact symplectic manifolds with boundary introduced by Ganatra-Pardon-Shende with a full package of functoriality properties and computational tools. This new Floer-theoretic invariant naturally corresponds to a purely algebraic notion - the categorical formal completion arising from the similar notion from algebraic geometry and ring theory, and the whole picture matches with predications from mirror symmetry.
计算机科学与技术学院
微电子学院
生命科学与医学部
管理学院
人文与社会科学学院
合肥微尺度物质科学国家研究中心
报告题目:
Novel properties due to crystal symmetry in topological superconductors and spin-splitting antiferromagnets
报告人:
Prof. Junwei Liu
报告时间:
11月28日 10:00
报告地点:
物质科学教研楼B0902会议室
报告摘要:
I will talk about the novel properties due to crystal symmetry in spin-splitting antiferromagnets (AFMs) [Nat. Commun. 12, 2846 (2021)] (also named altermagnet) and in topological superconductor [Nature 633, 71 (2024)].
In spin-splitting AFMs, we propose the crystal-symmetry-paired spin-valley/momentum locking (CSVL), which is enabled by a crystal symmetry and intrinsically exists in AFMs (e.g., V2Se2O, V2Te2O, MnTe and RuO2) [Nat. Commun. 12, 2846 (2021)]. CSVL enables feasible controls of spin and valley in AFMs by manipulating the corresponding crystal symmetry. Typically, one can use a strain field to induce net valley polarization/magnetization and use an electric field to generate a noncollinear spin current even without spin-orbit coupling. All the predictions have been confirmed in experiments. These properties have helped us realize the electric readout and 180o deterministic switching of the Néel order in our experimental work [Sci. Adv. 10, eadn0479 (2024)]. Due to these unique properties, these materials were named as altermagnet [Phys. Rev. X 12, 040501 (2022)].
In topological superconductors, magnetic mirror symmetry can project multiple Majorana zero modes (MZMs) in a single vortex, which allows feasible controls of hybridization of MZMs simply using an external field. This has been realized in our recent collaborative experimental works with Prof Jin-Feng Jia’s group [Nature 633, 71 (2024)].
精彩活动
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