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FIELD
Mathematics
DATE
Dec 26 (Fri), 2025
TIME
15:00 ~ 16:00
PLACE
1423
SPEAKER
Kim, Yonghwan
HOST
Lee, Sangjin
INSTITUTE
MIT
TITLE
Formality of the symplectic arc algebra
ABSTRACT
In this talk, we will review Abouzaid-Smith's proof of formality of the symplectic arc algebra. We will introduce Seidel's formality criterion for A-infinity algebras in characteristic zero. In the second part, we will discuss the symplectic geometry of Hilbert schemes of Milnor fibers and explain how this verifies that the formality criterion applies to the symplectic arc algebra. If time permits, we will also discuss how this is used in the proof of the isomorphism between symplectic Khovanov homology and Khovanov homology over characteristic zero.
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