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## October 8, 2018

#### Monday, October 08, 2018

Columbus Day
(Cancelled) Seminars in Research in Biochemistry and Molecular Biology
12:00 PM - 1:00 PM

Bloomberg School of Public Health

Seminars in Research in Biochemistry and Molecular Biology
Yuan Yuan "On the diameter rigidity of Kahler manifolds with positive bisectional curvature."
4:00 PM - 5:00 PM

Homewood

Speaker: Yuan Yuan (Syracuse) Abstract: It follows from the comparison theorem that if the Kahler manifold has bisectional curvature at least 1, then the diameter is no greater than the diameter of the standard complex projective space. I will discuss a joint result with G. Liu regarding the rigidity when the diameter reaches the maximum.
Liang Ze Wong 'Enriched fibrations and the relative nerve"
4:30 PM - 5:30 PM

Homewood

Speaker: Liang Ze Wong, University of Washington Abstract: The Grothendieck construction relates (pseudo)functors $B^{op} \to Cat$ with fibrations over $B$. In this talk, I will present an enriched version of this correspondence, which holds when the enriching category $V$ satisfies certain conditions. Applied to $V = sSet$, (the dual of) this result provides an alternative construction of Lurie's nerve of $B$ relative to a functor $B \to sCat \to sSet$, as well as a factorization of the operadic nerve. If time permits, I will discuss applications to coalgebras of an operad. This is joint work with Jonathan Beardsley. His institution is University of Washington.

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