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From Lagrangians in Hitchin systems to pillowcase covers
Speaker: Johannes Horn

Abstract: (joint with Johannes Schwab) In the first part, we will introduce Hitchin systems and motivate the study of complex Lagrangians through the Kapustin-Witten picture. Then we will restrict our attention to visible Lagrangians, where the Kapustin-Witten picture leads to a proposal of mirror dual hyperholomorphic subvarieties. In the second part, we give an existence criterion for visible Lagrangians in terms of certain half-translation structures on the underlying Riemann surface refereed to as pillowcase covers. We will explain this notion and comment on the proposed mirror dual subvarieties to these particular visible Lagrangians. 

Date : Tue, Nov 14

Time: 12:00

Place: SRB