Non-orientable Lagrangians and ungraded matrix factorizations

• 主讲人：Lino Amorim (Kansas State University)
• 举办方： Beijing-Novosibirsk Seminar on Geometry and Mathematical Physics
• 时间： 2022-05-12 13:00 - 2022-05-12 14:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/5ECE85D9E9A340DA1938AF9DE67CECCD
Valid Until: 2026-06-30 23:59

 

Abstract: I will discuss the Fukaya category of unorientable Lagrangians over a field of characteristic 2. I will explain how to construct the mirror to this category using the localized mirror functor. This leads to a new notion of ungraded matrix factorizations. I will then discuss a version of the Homological Mirror Symmetry conjecture in this setting and prove it in one example.

 

Bio: Lino Amorim received his PhD from the University of Wisconsin-Madison in 2012, with a thesis entitled “A Künneth Theorem in Lagrangian Floer Theory” under the supervision of Prof. Yong-Geun Oh. After postdoc positions at the University of Oxford and Boston University, he has been an Assistant Professor at Kansas State University since 2017. His research centers on the theory of Fukaya categories, their relations to Gromov-Witten invariants and their role in Homological Mirror Symmetry.