BIMSA > Tsinghua-BIMSA Symplectic Geometry Seminar Tsinghua-BIMSA Symplectic Geometry Seminar Composed Dehn twist exact sequence through A infinity n-modules
Composed Dehn twist exact sequence through A infinity n-modules
Organizers
Kenji Fukaya , Honghao Gao , Hang Yuan
Speaker
Shuo Zhang
Time
Monday, May 12, 2025 3:30 PM - 4:30 PM
Venue
Shuangqing-B627
Abstract
We prove the quilted Floer cochain complexes form A infinity n-modules over the Fukaya category of Lagrangian correspondences. Then we prove that when we restrict the input to mapping cones of product Lagrangians and graphs, the resulting bar-type complex can be identified with bar complex from ordinary Floer theory. As an application we use a family version of quilt unfolding argument to prove two long exact sequences conjectured by Seidel that relates the Lagrangian Floer cohomology of a collection of (possibly intersecting) Lagrangian spheres and the fixed point Floer cohomology of composition of Dehn twists along them.
Speaker Intro
张硕，中国科学院数学与系统科学研究院副研究员。主要从事偏微分方程数值算法研究，研究兴趣包括有限元方法、神经网络方法等。以第一作者或通讯作者在Numer. Math.，SIAM J Numer Anal.，J Comput. Physics等刊物和AAAI等会议发表论文多篇。曾获中国计算数学学会优秀青年论文奖二等奖及一等奖各一项。受邀在国际基础科学大会和世界华人数学家大会做邀请报告。是中国计算机学会高级会员，CSIAM第一届金融科技与算法专业委员会委员，和CSIAM信息和通讯技术领域的数学专委会委员。