Simple Closed Curves, Dual Trees and Dehn Twists

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Simple Closed Curves, Dual Trees and Dehn Twists

수리과학부 0 3668
구분 박사학위 논문 심사
일정 2019-12-05(목) 15:00~16:00
세미나실 27동 220호
강연자 서동균 (서울대)
담당교수 *수리과학부
기타
This is the second talk of my dissertation examination. For every simple closed curve of a surface, its dual tree is a tree embedded in the universal cover of a surface, each edge of which is associated with a liftof the curve. It gives information about the curve, for example, the intersection number with another simple closed curve. We will focus on the properties of dual trees and the proof of the main theorem which informs right-angled Artin subgroups of mappingclass groups.

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