李思教授专题学术报告

2018-06-04 来源:数学科学研究中心

活动地点:CMS 201

活动类型:学术报告

主讲人:李思教授

活动时间:2018-06-08 10:00:00--2018-06-08 11:00:00

活动内容:

李思教授专题学术报告

 

 

报告题目:Semi-infinite Hodge structure: from BCOV theory to Seiberg-Witten geometry

 

报告人:李思 教授 (清华大学)

 

时间:2018年6月8日(周五)上午10点

 

地点:数学中心201

 

Abstract: Semi-infinite Hodge structure originates from K. Saito's study of primitive forms in singularity theory and has been greatly extended to Calabi-Yau geometries by Barannikov-Kontsevich. In the first part of the talk, I will explain how semi-infinite Hodge theory extends Kodaira-Spencer gravity (Bershadsky-Cecotti-Ooguri-Vafa theory of B-twisted closed topological string field theory) into a full solution of Batalin-Vilkovisky master equation. This allows us to formulate quantum B-model via a rigorous BV quantization method and construct integrable hierarchies arising naturally from the background symmetry of BCOV theory. In the second part of the talk, I will explain the recent discovery of the connection between K.Saito's primitive form and 4d N=2 Seiberg-Witten geometry arising from singularity theory.