Collar lemma for Hitchin representations

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Collar lemma for Hitchin representations

수리과학부 0 519
구분 초청강연
일정 2017-03-27(월) 16:30~18:30
세미나실 129동 301호
강연자 이계선 (Univ. of Heidelberg)
담당교수 임선희
기타
There is a classical result first due to Keen known as the collar lemma for hyperbolic surfaces. A consequence of the collar lemma is that if two closed curves A and B on a closed orientable hyperbolizable surface have non-zero geometric intersection number, then there is an explicit lower bound for the length of A in terms of the length of B, which holds for any hyperbolic structure on the surface. By slightly weakening this lower bound, we generalize this statement to hold for all Hitchin representations. This is a joint work with Tengren Zhang.

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