Lecture by Junwu Tu: Hodge structures and enumerative invariants of Calabi-Yau categories


Time: 15:00-17:00, February 23


Venue: Lecture Hall


Abstract: We shall review Costello's definition of GromovWitten type invariants in all genus associated with Calabi-Yau A-infinity categories. Then we write down an explicit formula of these invariants in terms of certain stable graphs whose vertices are decorated by ribbon graphs. We give a survey of known calculations of CEI (categorical enumerative invariants). We also report on some of the recent progresses (joint works with Lino Amorim, and Yefeng Shen) in this direction.